Podcast
Questions and Answers
What is the formula to calculate the frictional force?
What is the formula to calculate the frictional force?
What is the formula to calculate the displacement of an object?
What is the formula to calculate the displacement of an object?
What is the formula to calculate the kinetic energy of an object?
What is the formula to calculate the kinetic energy of an object?
What is the formula to calculate the potential energy of an object due to gravity?
What is the formula to calculate the potential energy of an object due to gravity?
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What is the formula to calculate the final velocity of an object?
What is the formula to calculate the final velocity of an object?
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What is the formula to calculate the force?
What is the formula to calculate the force?
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What is the formula to calculate the potential energy of an elastic object?
What is the formula to calculate the potential energy of an elastic object?
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What is the formula to calculate the work done by a force?
What is the formula to calculate the work done by a force?
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What is the unit of the spring constant k?
What is the unit of the spring constant k?
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What is the formula for the momentum of an object?
What is the formula for the momentum of an object?
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What is the unit of the work done on or to an object due to gravity?
What is the unit of the work done on or to an object due to gravity?
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What is the formula for the Lifting Index (LI)?
What is the formula for the Lifting Index (LI)?
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What is the formula for the heat stress index in indoor environments?
What is the formula for the heat stress index in indoor environments?
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What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
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What is the formula for the threshold limit value (TLV) of a chemical mixture?
What is the formula for the threshold limit value (TLV) of a chemical mixture?
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What is the formula for the ideal gas law?
What is the formula for the ideal gas law?
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What is the formula for the volumetric flow rate (Q) of a ventilation system?
What is the formula for the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the static pressure of the hood (SPh)?
What is the formula for the static pressure of the hood (SPh)?
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What is the formula for the coefficient of entry loss?
What is the formula for the coefficient of entry loss?
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What is the formula for the total pressure in a ventilation system?
What is the formula for the total pressure in a ventilation system?
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What is the formula for the velocity of air in a ventilation system?
What is the formula for the velocity of air in a ventilation system?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing?
What is the formula for the effective rate of ventilation corrected for incomplete mixing?
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What is the formula for the concentration at a given time in a ventilation system?
What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the future value of money in engineering economy?
What is the formula for the future value of money in engineering economy?
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What is the formula for the present worth of money in engineering economy?
What is the formula for the present worth of money in engineering economy?
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What is the formula for the probability of failure in reliability?
What is the formula for the probability of failure in reliability?
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What is the formula for the sound intensity in a noise system?
What is the formula for the sound intensity in a noise system?
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What is the formula for the reliability of a system?
What is the formula for the reliability of a system?
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What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
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What is the purpose of the equation T = 8(L-90)/5?
What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of p in the equation Lp = 20 log(p/po)?
What is the unit of p in the equation Lp = 20 log(p/po)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the equation I2 = I1(d2/d1)2 used for?
What is the equation I2 = I1(d2/d1)2 used for?
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What is the equation I = Io e^(-μx) used for?
What is the equation I = Io e^(-μx) used for?
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What is the equation W = 16P/πD2 used for?
What is the equation W = 16P/πD2 used for?
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What is the equation GP = 4πA/λ used for?
What is the equation GP = 4πA/λ used for?
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What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
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If a force of 20 N is applied to an object and the coefficient of friction is 0.5, what is the frictional force?
If a force of 20 N is applied to an object and the coefficient of friction is 0.5, what is the frictional force?
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An object is moving with an initial velocity of 5 m/s and accelerates at 2 m/s² for 3 seconds. What is its final velocity?
An object is moving with an initial velocity of 5 m/s and accelerates at 2 m/s² for 3 seconds. What is its final velocity?
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A 2 kg object is lifted 5 meters above the ground. What is the potential energy of the object?
A 2 kg object is lifted 5 meters above the ground. What is the potential energy of the object?
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An object travels 10 meters in 2 seconds with an acceleration of 4 m/s². What is its initial velocity?
An object travels 10 meters in 2 seconds with an acceleration of 4 m/s². What is its initial velocity?
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A 5 kg object is moving with a velocity of 10 m/s. What is its kinetic energy?
A 5 kg object is moving with a velocity of 10 m/s. What is its kinetic energy?
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A force of 30 N is applied to an object, causing it to move 5 meters. What is the work done by the force?
A force of 30 N is applied to an object, causing it to move 5 meters. What is the work done by the force?
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An elastic object has a spring constant of 100 N/m. If it is stretched by 0.5 meters, what is its potential energy?
An elastic object has a spring constant of 100 N/m. If it is stretched by 0.5 meters, what is its potential energy?
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An object is moving with an initial velocity of 8 m/s and accelerates at 3 m/s² for 4 seconds. What is its displacement?
An object is moving with an initial velocity of 8 m/s and accelerates at 3 m/s² for 4 seconds. What is its displacement?
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What is the unit of the spring constant k?
What is the unit of the spring constant k?
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If a force F is applied to an object and it moves a distance s, what is the work done on the object?
If a force F is applied to an object and it moves a distance s, what is the work done on the object?
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What is the unit of the momentum of an object?
What is the unit of the momentum of an object?
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What is the formula for the Lifting Index (LI)?
What is the formula for the Lifting Index (LI)?
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What is the formula for the heat stress index in outdoor environments?
What is the formula for the heat stress index in outdoor environments?
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What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
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What is the formula for the ideal gas law?
What is the formula for the ideal gas law?
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What is the formula for the static pressure of the hood (SPh) in a ventilation system?
What is the formula for the static pressure of the hood (SPh) in a ventilation system?
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What is the formula for the volumetric flow rate (Q) of a ventilation system?
What is the formula for the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the coefficient of entry loss (Ce)?
What is the formula for the coefficient of entry loss (Ce)?
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What is the purpose of the equation Lpt = 10 log ∑ 10(Lpi/10)?
What is the purpose of the equation Lpt = 10 log ∑ 10(Lpi/10)?
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What is the unit of W in the equation W = 16P/πD2?
What is the unit of W in the equation W = 16P/πD2?
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What is the purpose of the equation I = Io e^(-μx)?
What is the purpose of the equation I = Io e^(-μx)?
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What is the purpose of the equation dB1 = dBo - 20 log10(d1/do)?
What is the purpose of the equation dB1 = dBo - 20 log10(d1/do)?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the purpose of the equation T = 8(L-90)/5?
What is the purpose of the equation T = 8(L-90)/5?
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What is the purpose of the equation Lw = 10 log(W/Wo)?
What is the purpose of the equation Lw = 10 log(W/Wo)?
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What is the unit of po in the equation Lp = 20 log(p/po)?
What is the unit of po in the equation Lp = 20 log(p/po)?
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What is the purpose of the equation I2 = I1(d2/d1)2?
What is the purpose of the equation I2 = I1(d2/d1)2?
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What is the purpose of the equation GP = 4πA/λ?
What is the purpose of the equation GP = 4πA/λ?
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What is the formula to calculate the actual ventilation rate in a ventilation system?
What is the formula to calculate the actual ventilation rate in a ventilation system?
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What is the relationship between the velocity of air and the flow rate in a ventilation system?
What is the relationship between the velocity of air and the flow rate in a ventilation system?
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What is the formula to calculate the concentration at a given time in a ventilation system?
What is the formula to calculate the concentration at a given time in a ventilation system?
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What is the formula to calculate the future value of money in engineering economy?
What is the formula to calculate the future value of money in engineering economy?
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What is the formula to calculate the probability of failure in reliability?
What is the formula to calculate the probability of failure in reliability?
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What is the formula to calculate the sound intensity in a noise system?
What is the formula to calculate the sound intensity in a noise system?
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What is the formula to calculate the velocity pressure of the duct in a ventilation system?
What is the formula to calculate the velocity pressure of the duct in a ventilation system?
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What is the formula to calculate the effective rate of ventilation corrected for incomplete mixing in a ventilation system?
What is the formula to calculate the effective rate of ventilation corrected for incomplete mixing in a ventilation system?
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What is the formula to calculate the total pressure in a ventilation system?
What is the formula to calculate the total pressure in a ventilation system?
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What is the formula to calculate the coefficient of entry loss in a ventilation system?
What is the formula to calculate the coefficient of entry loss in a ventilation system?
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What is the unit of frictional force?
What is the unit of frictional force?
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What is the purpose of the equation F1D1 = F2D2?
What is the purpose of the equation F1D1 = F2D2?
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What is the unit of acceleration?
What is the unit of acceleration?
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What is the purpose of the equation v = vo + at?
What is the purpose of the equation v = vo + at?
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What is the unit of kinetic energy?
What is the unit of kinetic energy?
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What is the purpose of the equation P.E. = mgh?
What is the purpose of the equation P.E. = mgh?
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What is the unit of gravitational acceleration?
What is the unit of gravitational acceleration?
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What is the purpose of the equation s = vot + (at^2)/2?
What is the purpose of the equation s = vot + (at^2)/2?
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What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
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What is the purpose of the equation T = 8(L-90)/5?
What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of p in the equation Lp = 20 log(p/po)?
What is the unit of p in the equation Lp = 20 log(p/po)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the equation I2 = I1(d2/d1)² used for?
What is the equation I2 = I1(d2/d1)² used for?
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What is the equation I = Io e^(-μx) used for?
What is the equation I = Io e^(-μx) used for?
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What is the equation W = 16P/πD² used for?
What is the equation W = 16P/πD² used for?
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What is the equation GP = 4πA/λ used for?
What is the equation GP = 4πA/λ used for?
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What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
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What is the unit of the amount of work done on or to an object due to gravity?
What is the unit of the amount of work done on or to an object due to gravity?
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What is the formula for the concentration of a vapor or gas in parts per million (ppm)?
What is the formula for the concentration of a vapor or gas in parts per million (ppm)?
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What is the formula for the ideal gas law?
What is the formula for the ideal gas law?
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What is the formula for the Lifting Index (LI)?
What is the formula for the Lifting Index (LI)?
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What is the formula for the threshold limit value (TLV) of a chemical mixture?
What is the formula for the threshold limit value (TLV) of a chemical mixture?
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What is the formula for the heat stress index in indoor environments?
What is the formula for the heat stress index in indoor environments?
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What is the formula for the volumetric flow rate (Q) of a ventilation system?
What is the formula for the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the static pressure of the hood (SPh)?
What is the formula for the static pressure of the hood (SPh)?
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What is the formula for the velocity of air in a ventilation system?
What is the formula for the velocity of air in a ventilation system?
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What is the unit of the momentum of an object?
What is the unit of the momentum of an object?
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What is the formula for the velocity of air in a ventilation system?
What is the formula for the velocity of air in a ventilation system?
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What is the formula for the coefficient of entry loss?
What is the formula for the coefficient of entry loss?
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What is the formula for the total pressure in a ventilation system?
What is the formula for the total pressure in a ventilation system?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing?
What is the formula for the effective rate of ventilation corrected for incomplete mixing?
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What is the formula for the concentration at a given time in a ventilation system?
What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the future value of money in engineering economy?
What is the formula for the future value of money in engineering economy?
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What is the formula for the probability of failure in reliability?
What is the formula for the probability of failure in reliability?
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What is the formula for the sound intensity in a noise system?
What is the formula for the sound intensity in a noise system?
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What is the formula for the velocity pressure of a duct?
What is the formula for the velocity pressure of a duct?
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What is the formula for the rate of generation of contaminant in a ventilation system?
What is the formula for the rate of generation of contaminant in a ventilation system?
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What is the physical quantity represented by the symbol 'm' in the kinetic energy equation?
What is the physical quantity represented by the symbol 'm' in the kinetic energy equation?
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What is the unit of the gravitational acceleration 'g' in the potential energy equation?
What is the unit of the gravitational acceleration 'g' in the potential energy equation?
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What is the physical significance of the equation 'v^2 = vo^2 + 2as'?
What is the physical significance of the equation 'v^2 = vo^2 + 2as'?
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What is the physical quantity represented by the symbol 'k' in the potential energy equation of an elastic object?
What is the physical quantity represented by the symbol 'k' in the potential energy equation of an elastic object?
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What is the unit of the kinetic energy 'K.E.' in the equation 'K.E. = 0.5mv^2'?
What is the unit of the kinetic energy 'K.E.' in the equation 'K.E. = 0.5mv^2'?
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What is the physical significance of the equation 'F1D1 = F2D2'?
What is the physical significance of the equation 'F1D1 = F2D2'?
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What is the physical quantity represented by the symbol 'N' in the frictional force equation 'F = μN'?
What is the physical quantity represented by the symbol 'N' in the frictional force equation 'F = μN'?
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What is the unit of the potential energy 'P.E.' in the equation 'P.E. = mgh'?
What is the unit of the potential energy 'P.E.' in the equation 'P.E. = mgh'?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing?
What is the formula for the effective rate of ventilation corrected for incomplete mixing?
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What is the formula for the future value of money in engineering economy?
What is the formula for the future value of money in engineering economy?
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What is the formula for the reliability of a system?
What is the formula for the reliability of a system?
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What is the formula for the sound intensity in a noise system?
What is the formula for the sound intensity in a noise system?
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What is the formula for the coefficient of entry loss?
What is the formula for the coefficient of entry loss?
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What is the formula for the concentration at a given time in a ventilation system?
What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the present worth of money in engineering economy?
What is the formula for the present worth of money in engineering economy?
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What is the formula for the probability of failure in reliability?
What is the formula for the probability of failure in reliability?
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What is the formula for the velocity of air in a ventilation system?
What is the formula for the velocity of air in a ventilation system?
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What is the formula for the total pressure in a ventilation system?
What is the formula for the total pressure in a ventilation system?
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What is the unit of the work done on or to an object due to gravity?
What is the unit of the work done on or to an object due to gravity?
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What is the formula for the momentum of an object?
What is the formula for the momentum of an object?
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What is the formula for the Lifting Index (LI)?
What is the formula for the Lifting Index (LI)?
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What is the formula for the heat stress index in indoor environments?
What is the formula for the heat stress index in indoor environments?
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What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
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What is the formula for the ideal gas law?
What is the formula for the ideal gas law?
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What is the formula for the volumetric flow rate (Q) of a ventilation system?
What is the formula for the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the static pressure of the hood (SPh)?
What is the formula for the static pressure of the hood (SPh)?
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What is the formula for the pressure of a gas?
What is the formula for the pressure of a gas?
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What is the formula for the threshold limit value (TLV) of a chemical mixture?
What is the formula for the threshold limit value (TLV) of a chemical mixture?
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What is the kinetic energy of an object with a mass of 3 kg and a velocity of 6 m/s?
What is the kinetic energy of an object with a mass of 3 kg and a velocity of 6 m/s?
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An object is moving with an initial velocity of 4 m/s and accelerates at 1 m/s² for 5 seconds. What is its final velocity?
An object is moving with an initial velocity of 4 m/s and accelerates at 1 m/s² for 5 seconds. What is its final velocity?
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A 4 kg object is lifted 8 meters above the ground. What is the potential energy of the object?
A 4 kg object is lifted 8 meters above the ground. What is the potential energy of the object?
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What is the force required to move an object 10 meters with an acceleration of 2 m/s²?
What is the force required to move an object 10 meters with an acceleration of 2 m/s²?
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An elastic object has a spring constant of 50 N/m. If it is stretched by 1 meter, what is its potential energy?
An elastic object has a spring constant of 50 N/m. If it is stretched by 1 meter, what is its potential energy?
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What is the work done by a force of 25 N applied over a distance of 5 meters?
What is the work done by a force of 25 N applied over a distance of 5 meters?
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An object moves 12 meters in 3 seconds with an acceleration of 2 m/s². What is its initial velocity?
An object moves 12 meters in 3 seconds with an acceleration of 2 m/s². What is its initial velocity?
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What is the displacement of an object with an initial velocity of 3 m/s, acceleration of 1 m/s², and time of 4 seconds?
What is the displacement of an object with an initial velocity of 3 m/s, acceleration of 1 m/s², and time of 4 seconds?
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What is the formula for the reliability of a system at a given time t?
What is the formula for the reliability of a system at a given time t?
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What is the unit of sound intensity I in the equation I = p² / ρc?
What is the unit of sound intensity I in the equation I = p² / ρc?
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What is the formula for the future value of money F, given the present value P, interest rate i, and number of years n?
What is the formula for the future value of money F, given the present value P, interest rate i, and number of years n?
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What is the probability of failure Pf, given the reliability R(t)?
What is the probability of failure Pf, given the reliability R(t)?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing Q′, given the actual ventilation rate Q and design distribution constant K?
What is the formula for the effective rate of ventilation corrected for incomplete mixing Q′, given the actual ventilation rate Q and design distribution constant K?
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What is the formula for the concentration C at a given time, given the rate of generation G, flow rate Q, and volume V?
What is the formula for the concentration C at a given time, given the rate of generation G, flow rate Q, and volume V?
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What is the formula for the velocity of air V in a ventilation system, given the flow rate Q and area A?
What is the formula for the velocity of air V in a ventilation system, given the flow rate Q and area A?
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What is the formula for the coefficient of entry loss Ce, given the velocity pressure VP and static pressure SPh?
What is the formula for the coefficient of entry loss Ce, given the velocity pressure VP and static pressure SPh?
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What is the formula for the present worth of money P, given the future value F, interest rate i, and number of years n?
What is the formula for the present worth of money P, given the future value F, interest rate i, and number of years n?
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What is the formula for the total pressure TP in a ventilation system, given the static pressure SP and velocity pressure VP?
What is the formula for the total pressure TP in a ventilation system, given the static pressure SP and velocity pressure VP?
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What is the unit of the threshold limit value (TLV) of a chemical mixture?
What is the unit of the threshold limit value (TLV) of a chemical mixture?
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Which of the following formulas is used to calculate the heat stress index in outdoor environments?
Which of the following formulas is used to calculate the heat stress index in outdoor environments?
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What is the unit of the volumetric flow rate (Q) of a ventilation system?
What is the unit of the volumetric flow rate (Q) of a ventilation system?
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Which of the following formulas is used to calculate the static pressure of the hood (SPh) in a ventilation system?
Which of the following formulas is used to calculate the static pressure of the hood (SPh) in a ventilation system?
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What is the unit of the molecular weight (MW) of a contaminant?
What is the unit of the molecular weight (MW) of a contaminant?
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Which of the following formulas is used to calculate the parts per million (ppm) of a contaminant?
Which of the following formulas is used to calculate the parts per million (ppm) of a contaminant?
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What is the unit of the universal gas constant (R) in the ideal gas law?
What is the unit of the universal gas constant (R) in the ideal gas law?
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Which of the following formulas is used to calculate the Lifting Index (LI) in ergonomic analysis?
Which of the following formulas is used to calculate the Lifting Index (LI) in ergonomic analysis?
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What is the unit of the velocity of air in a ventilation system?
What is the unit of the velocity of air in a ventilation system?
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Which of the following formulas is used to calculate the concentration of a chemical mixture?
Which of the following formulas is used to calculate the concentration of a chemical mixture?
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What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
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What is the purpose of the equation T = 8(L-90)/5?
What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of p in the equation Lp = 20 log(p/po)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the equation I2 = I1(d2/d1)2 used for?
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What is the equation I = Io e^(-μx) used for?
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What is the equation W = 16P/πD2 used for?
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What is the equation GP = 4πA/λ used for?
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What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
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What is the unit of the work done on or to an object due to gravity?
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What is the formula for the Lifting Index (LI)?
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What is the formula for the future value of money in engineering economy?
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What is the formula for the probability of failure in reliability?
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What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
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What is the formula for the sound intensity in a noise system?
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What is the formula for the ideal gas law?
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What is the formula for the present worth of money in engineering economy?
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What is the formula for the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the static pressure of the hood (SPh)?
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What is the formula for the reliability of a system?
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What is the formula for the threshold limit value (TLV) of a chemical mixture?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing?
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What is the unit of the molecular weight (MW) of a substance?
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What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the heat stress index in outdoor environments?
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What is the formula for the velocity of air in a ventilation system?
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What is the formula for the total pressure in a ventilation system?
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What is the formula for the velocity of air in a ventilation system?
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What is the formula for the coefficient of entry loss?
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What is the unit of the load constant LC?
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What is the unit of the static pressure of the hood SPh?
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What is the formula for the work done on or to an object due to gravity?
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What is the formula for the Lifting Index (LI)?
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What is the unit of the velocity of air in a ventilation system?
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What is the formula for the heat stress index in outdoor environments?
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What is the formula for converting parts per million (ppm) to milligrams per cubic meter (mg/m³)?
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What is the formula for the ideal gas law?
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What is the unit of the molecular weight of a contaminant?
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What is the formula for calculating the potential energy of an object due to gravity?
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What is the formula for calculating the potential energy of an elastic object?
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What is the unit of Wo in the equation Lw = 10 log(W/Wo)?
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What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of p in the equation Lp = 20 log(p/po)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the equation I2 = I1(d2/d1)2 used for?
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What is the equation I = Io e^(-μx) used for?
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What is the equation W = 16P/πD2 used for?
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What is the equation GP = 4πA/λ used for?
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What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
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What is the formula for the actual ventilation rate (Q) of a ventilation system?
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What is the formula for the velocity of air in a ventilation system?
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What is the formula for the total pressure in a ventilation system?
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What is the formula for the coefficient of entry loss (Ce)?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing (Q')?
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What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the future value of money in engineering economy?
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What is the formula for the probability of failure in reliability?
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What is the formula for the sound intensity in a noise system?
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What is the formula for the reliability of a system?
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An object is moving with an initial velocity of 3 m/s and accelerates at 2 m/s² for 5 seconds. What is its final velocity?
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A 4 kg object is lifted 8 meters above the ground. What is the potential energy of the object?
A 4 kg object is lifted 8 meters above the ground. What is the potential energy of the object?
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An object travels 15 meters in 3 seconds with an acceleration of 5 m/s². What is its initial velocity?
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A 3 kg object is moving with a velocity of 12 m/s. What is its kinetic energy?
A 3 kg object is moving with a velocity of 12 m/s. What is its kinetic energy?
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A force of 25 N is applied to an object, causing it to move 10 meters. What is the work done by the force?
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An elastic object has a spring constant of 80 N/m. If it is stretched by 0.7 meters, what is its potential energy?
An elastic object has a spring constant of 80 N/m. If it is stretched by 0.7 meters, what is its potential energy?
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An object is moving with an initial velocity of 9 m/s and accelerates at 4 m/s² for 2 seconds. What is its displacement?
An object is moving with an initial velocity of 9 m/s and accelerates at 4 m/s² for 2 seconds. What is its displacement?
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A 2 kg object is moving with a velocity of 15 m/s. What is the momentum of the object?
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An object is moving with an initial velocity of 6 m/s and accelerates at 3 m/s² for 4 seconds. What is its final velocity?
An object is moving with an initial velocity of 6 m/s and accelerates at 3 m/s² for 4 seconds. What is its final velocity?
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A force of 18 N is applied to an object, causing it to move 12 meters. What is the work done by the force?
A force of 18 N is applied to an object, causing it to move 12 meters. What is the work done by the force?
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What is the unit of the work done on or to an object due to gravity?
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If the object weight is 20 kg and the recommended weight limit is 15 kg, what is the Lifting Index (LI)?
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What is the formula to calculate the concentration of a vapor or gas in terms of parts per million (ppm)?
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What is the formula to calculate the threshold limit value (TLV) of a chemical mixture?
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What is the formula to calculate the ideal gas law?
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What is the formula to calculate the static pressure of the hood (SPh) in a ventilation system?
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What is the formula to calculate the volumetric flow rate (Q) of a ventilation system?
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What is the formula to calculate the velocity of air in a ventilation system?
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What is the formula to calculate the heat stress index in outdoor environments?
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What is the formula to calculate the lower flammability limit (LFL) of a chemical mixture?
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What is the unit of the sound power level Lw?
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What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of the reference sound pressure level po?
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What is the equation I = Io e^(-μx) used for?
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What is the unit of the effective antenna area A?
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What is the formula for the coefficient of entry loss (Ce)?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing (Q′)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the formula for the concentration at a given time (C) in a ventilation system?
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What is the unit of the acoustic power W?
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What is the equation Lpt = 10 log ∑ 10(Lpi/10) used for?
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What is the formula for the future value of money (F) in engineering economy?
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What is the formula for the probability of failure (Pf) in reliability?
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What is the unit of the radiation scatter buildup factor β?
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What is the formula for the sound intensity (I) in a noise system?
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What is the equation I2 = I1(d2/d1)2 used for?
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What is the formula for the velocity of air (V) in a ventilation system?
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What is the formula for the total pressure (TP) in a ventilation system?
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What is the formula for the generation rate (G) of contaminant?
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What is the formula for the concentration (C) of a gas or vapor?
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What is the physical quantity represented by the symbol 'v' in the equation v = vo + at?
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What is the SI unit of the physical quantity represented by the symbol 'F' in the equation F = μN?
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Which of the following equations is used to calculate the kinetic energy of an object?
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What is the physical quantity represented by the symbol 's' in the equation s = vot + (1/2)at^2?
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Which of the following equations is used to calculate the potential energy of an object due to gravity?
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What is the physical quantity represented by the symbol 'a' in the equation v = vo + at?
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Which of the following equations is used to calculate the work done by a force?
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What is the physical quantity represented by the symbol 'm' in the equation K.E. = (1/2)mv^2?
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Which of the following equations is used to calculate the potential energy of an elastic object?
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What is the physical quantity represented by the symbol 'g' in the equation P.E. = mgh?
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What is the formula for the velocity of air in a ventilation system?
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What is the formula for the total pressure in a ventilation system?
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What is the formula for the coefficient of entry loss?
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What is the formula for the effective rate of ventilation corrected for incomplete mixing?
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What is the formula for the concentration at a given time in a ventilation system?
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What is the formula for the future value of money in engineering economy?
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What is the formula for the probability of failure in reliability?
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What is the formula for the sound intensity in a noise system?
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What is the formula for the reliability of a system?
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What is the formula for the hood entry loss in a ventilation system?
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What is the unit of the amount of work done on or to an object due to gravity?
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What does the Lifting Index (LI) represent?
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What is the unit of the molecular weight of a contaminant?
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What is the formula for the heat stress index in outdoor environments?
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What is the unit of the volumetric flow rate (Q) of a ventilation system?
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What is the formula for the velocity of air in a ventilation system?
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What is the purpose of the equation PV = nRT?
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What is the formula for the concentration of a chemical in a mixture?
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What is the unit of the static pressure of the hood (SPh)?
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What is the formula for the work done on or to an object due to a force?
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What is the unit of acoustic power (W) in the equation Lw = 10 log(W/Wo)?
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What is the purpose of the equation T = 8(L-90)/5?
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What is the unit of sound pressure level (Lp) in the equation Lp = 20 log(p/po)?
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What is the equation dB1 = dBo - 20 log10(d1/do) used for?
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What is the unit of A in the equation NR = 12.6Pα/(1.4A)?
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What is the equation I2 = I1(d2/d1)2 used for?
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What is the equation I = Io e^(-μx) used for?
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What is the equation W = 16P/πD2 used for?
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What is the equation GP = 4πA/λ used for?
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What is the unit of Lpt in the equation Lpt = 10 log ∑ 10(Lpi/10)?
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Study Notes
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
Ventilation
- Hood entry loss (he) is calculated as: he = (1 - C) VP / e^2
- Coefficient of entry loss (Ce) is calculated as: Ce = he / SPh
- Ventilation rate (Q) is calculated as: Q = 403 x 10^6 x SG x ER x K / MW x C
- Velocity of air (V) is calculated as: V = 4005 VP
- Total pressure (TP) is calculated as: TP = SP + VP
Engineering Economy
- Future value of money (F) is calculated as: F = P(1 + i)^n
- Present value of money (P) is calculated as: P = F(1 + i)^(-n)
- Future value of money (F) is also calculated as: F = A((1 + i)^n - 1) / i
- Period payment amount (A) is calculated as: A = F((1 + i)^n - 1) / i(1 + i)^n
- Present worth of money (P) is also calculated as: P = A((1 + i)^n - 1) / i(1 + i)^n
Reliability
- Probability of failure (Pf) is calculated as: Pf = 1 - R(t)
- Reliability (R(t)) is calculated as: R(t) = e^(-λt)
- Probability of failure (Pf) is also calculated as: Pf = (1 - Ps)
Noise
- Sound intensity (I) is calculated as: I = p^2 / ρc
Mechanics
- Frictional force (F) is calculated as: F = μN
- Force (F) is also calculated as: F = F1D1 / D2
- Velocity (v) is calculated as: v = vo + at
- Displacement (s) is calculated as: s = vot + (1/2)at^2
- Kinetic energy (K.E.) is calculated as: K.E. = (1/2)mv^2
- Potential energy (P.E.) is calculated as: P.E. = mgh or P.E. = (1/2)kx^2
- Momentum (ρ) is calculated as: ρ = mv
- Force (F) is also calculated as: F = ma
- Work done (W) is calculated as: W = mg or W = Fs
Ergonomic (Revised NIOSH Lifting Equations)
- Lifting Index (LI) is calculated as: LI = L / RWL
- Recommended weight limit (RWL) is calculated as: RWL = LC × HM × VM × DM × AM × FM × CM
Heat Stress and Relative Humidity
- Indoor (no solar load) equation: 0.7WB + 0.3GT
- Outdoors (with solar heat load) equation: 0.7WB + 0.2GT = 0.1DB
Concentrations of Vapors and Gases
- ppm is calculated as: ppm = mg/m3 × 24.45 / MW
- Threshold limit value (TLV) is calculated as: TLVm = f1/TLV1 + f2/TLV2 + … + fn/TLVn
- Lower flammability limit (LFL) is calculated as: LFLm = f1/LFL1 + f2/LFL2 + … + fn/LFLn
Gas Laws
- PV = nRT
- P1V1 / T1 = P2V2 / T2
Ventilation
- Hood entry loss (he) is calculated as: he = (1 - C) VP / e^2
- Coefficient of entry loss (Ce) is calculated as: Ce = he / SPh
- Ventilation rate (Q) is calculated as: Q = 403 x 10^6 x SG x ER x K / MW x C
- Velocity of air (V) is calculated as: V = 4005 VP
- Total pressure (TP) is calculated as: TP = SP + VP
Engineering Economy
- Future value of money (F) is calculated as: F = P(1 + i)^n
- Present value of money (P) is calculated as: P = F(1 + i)^(-n)
- Future value of money (F) is also calculated as: F = A((1 + i)^n - 1) / i
- Period payment amount (A) is calculated as: A = F((1 + i)^n - 1) / i(1 + i)^n
- Present worth of money (P) is also calculated as: P = A((1 + i)^n - 1) / i(1 + i)^n
Reliability
- Probability of failure (Pf) is calculated as: Pf = 1 - R(t)
- Reliability (R(t)) is calculated as: R(t) = e^(-λt)
- Probability of failure (Pf) is also calculated as: Pf = (1 - Ps)
Noise
- Sound intensity (I) is calculated as: I = p^2 / ρc
Mechanics
- Frictional force (F) is calculated as: F = μN
- Force (F) is also calculated as: F = F1D1 / D2
- Velocity (v) is calculated as: v = vo + at
- Displacement (s) is calculated as: s = vot + (1/2)at^2
- Kinetic energy (K.E.) is calculated as: K.E. = (1/2)mv^2
- Potential energy (P.E.) is calculated as: P.E. = mgh or P.E. = (1/2)kx^2
- Momentum (ρ) is calculated as: ρ = mv
- Force (F) is also calculated as: F = ma
- Work done (W) is calculated as: W = mg or W = Fs
Ergonomic (Revised NIOSH Lifting Equations)
- Lifting Index (LI) is calculated as: LI = L / RWL
- Recommended weight limit (RWL) is calculated as: RWL = LC × HM × VM × DM × AM × FM × CM
Heat Stress and Relative Humidity
- Indoor (no solar load) equation: 0.7WB + 0.3GT
- Outdoors (with solar heat load) equation: 0.7WB + 0.2GT = 0.1DB
Concentrations of Vapors and Gases
- ppm is calculated as: ppm = mg/m3 × 24.45 / MW
- Threshold limit value (TLV) is calculated as: TLVm = f1/TLV1 + f2/TLV2 + … + fn/TLVn
- Lower flammability limit (LFL) is calculated as: LFLm = f1/LFL1 + f2/LFL2 + … + fn/LFLn
Gas Laws
- PV = nRT
- P1V1 / T1 = P2V2 / T2
Sound Intensity Calculations
- The equation for combined sound pressure level is: Lpt = 10 log ∑ 10^(Lpi/10)
- Lpt is the combined sound pressure level, and Lpi is the individual measured sound pressure level
- Sound power level (Lw) is calculated as: Lw = 10 log (W/Wo)
- Where W is the acoustic power, and Wo is the reference acoustic power (10^−12 W)
Sound Pressure Level
- Sound pressure level (Lp) is calculated as: Lp = 20 log (p/po)
- Where p is the measured sound pressure level, and po is the reference sound pressure level (0.00002 N/m2)
Time Allowed for Exposure
- The time allowed for exposure (T) is calculated as: T = (L - 90) / 5
- Where L is the sound pressure level (dB)
Dosage
- Dosage (D) is calculated as: D = 100 ∑ (Ci / Ti)
- Where Ci is the actual exposure time, and Ti is the allowed exposure time
Noise Reduction
- Noise reduction (dB) is calculated as: dB = 10 log (A2 / A1)
- Where A1 is the total number of absorption units before treatment, and A2 is the total number after treatment
Radiation
- Ionizing radiation intensity (I) is calculated as: I2 = I1 * (d1 / d2)^2
- Where I1 is the initial intensity, and d1 and d2 are the distances from the source
- Non-ionizing radiation power density (W) is calculated as: W = 16P / (πD^2 A)
- Where P is the antenna power, D is the diameter of the antenna, and A is the effective antenna area
Ventilation
- Actual ventilation rate (Q) is calculated as: Q = 403 * 10^6 * SG * ER * K / (MW * C)
- Where SG is the specific gravity of the volatile liquid, ER is the evaporation rate, K is the design distribution constant, MW is the molecular weight, and C is the desired concentration
- Velocity of air (V) is calculated as: V = 4005 * VP / (10 * x^2 + A)
- Where VP is the velocity pressure, x is the source distance from the hood opening, and A is the area
Engineering Economy
- Future value of money (F) is calculated as: F = P * (1 + i)^n
- Present worth of money (P) is calculated as: P = F / (1 + i)^n
- Annual payment (A) is calculated as: A = F * (i * (1 + i)^n) / ((1 + i)^n - 1)
Reliability
- Probability of failure (Pf) is calculated as: Pf = 1 - R(t)
- Reliability (R(t)) is calculated as: R(t) = e^(-λt)
- Where λ is the number of failures divided by the number of time units during which all items were exposed
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
Mechanics
- F = μN, where F is frictional force, μ is coefficient of friction, and N is newtons
- F1D1 = F2D2, where F is force, and D is distance
- v = vo + at, where v is velocity, vo is original velocity, a is acceleration, and t is time
- s = vot + (1/2)at^2, where s is displacement of the object, vo is initial velocity, t is time, and a is acceleration
- v^2 = vo^2 + 2as, where v is final velocity, vo is initial velocity, a is acceleration, and s is displacement
Energy
- K.E. = (1/2)mv^2, where K.E. is kinetic energy, m is mass of the object, and v is speed of the object
- P.E. = mgh, where P.E. is potential energy, m is mass of the object, g is gravitation acceleration, and h is height above earth's surface
- P.E. = (1/2)kx^2, where P.E. is potential energy, k is spring constant, and x is amount of compression
Momentum
- ρ = mv, where ρ is momentum, m is mass, and v is velocity
- F = ma, where F is force, m is mass, and a is acceleration
Work and Energy
- W = mg, where W is work done, m is mass, and g is gravity
- W = Fs, where W is work done, F is force, and s is distance
Ergonomic
- Lifting Index (LI) = L / RWL, where LI is Lifting Index, L is object weight, and RWL is recommended weight limit
- RWL = LC × HM × VM × DM × AM × FM × CM, where RWL is recommended weight limit, and various multipliers (LC, HM, VM, DM, AM, FM, CM) are used to calculate it
Heat Stress and Relative Humidity
- Indoor (no solar load): 0.7 WB + 0.3 GT
- Outdoors (with solar heat load): 0.7 WB + 0.2 GT = 0.1 DB
Concentrations of Vapors and Gases
- ppm = (mg/m^3) × (24.45 / MW), where ppm is parts per million, mg/m^3 is measured mg/m^3 of the contaminant, and MW is molecular weight of the contaminant
- TLVm = (f1 / TLV1) + (f2 / TLV2) + … + (fn / TLVn), where TLVm is threshold limit value, f is fraction of chemical, and TLV is threshold limit value of the chemical
- LFLm = (f1 / LFL1) + (f2 / LFL2) + … + (fn / LFLn), where LFLm is lower flammability limit, f is fraction of chemical, and LFL is lower flammability limit
Ventilation
- Q = VA, where Q is volumetric flow rate, V is velocity of the air, and A is cross-sectional area of the duct
- V = 4005 Ce SPh, where V is velocity, Ce is coefficient of entry loss, and SPh is static pressure of the hood
- SPfan = SPout - SPin - VPin, where SPfan is static pressure of the fan, SPout is static pressure of the outlet, SPin is static pressure of the inlet, and VPin is velocity pressure of the inlet
- SPh = VP + he, where SPh is static pressure of the hood, VP is duct velocity pressure, and he is overall hood entry loss
Engineering Economy
- F = P(1 + i)^n, where F is future value of money, P is present value of money, i is interest rate, and n is number of years
- P = F(1 + i)^(-n), where P is present worth of money, F is future worth, i is interest rate, and n is number of years
- F = A((1 + i)^n - 1) / i, where F is future value of money, A is each payment, i is interest rate, and n is number of periods
- A = F(i(1 + i)^n) / ((1 + i)^n - 1), where A is yearly payment of loan, F is future value of loan, i is interest rate, and n is number of periods
Reliability
- Pf = 1 - R(t), where Pf is probability of failure, and R(t) is reliability
- R(t) = e^(-λt), where R(t) is reliability, t is time in which reliability is measured, and λ is number of failures divided by number of time units
Noise
- I = p^2 / (ρc), where I is sound intensity, p is sound pressure level, ρ is the density of the medium, and c is the speed of sound
- Lpt = 10 log (∑ 10^(Lpi/10)), where Lpt is combined sound pressure level, and Lpi is individual measured sound pressure level
- Lw = 10 log (W / Wo), where Lw is sound power level, W is acoustic power, and Wo is reference acoustic power
- Lp = 20 log (p / po), where Lp is sound pressure level, p is measured sound pressure level, and po is reference sound pressure level
Radiation
- Ionizing: I2 = I1 (d1 / d2)^2, where I is intensity of source, and d is distance from source
- Nonionizing: W = 16 P^4 / (π D^2 A), where W is power density, P is antenna power, D is diameter of antenna, and A is effective antenna area
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This quiz covers the fundamental equations in mechanics, including frictional force, force and distance, and velocity and acceleration. Test your understanding of these essential concepts.