Physics Mechanics and Energy Equations
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Questions and Answers

What does the symbol $F$ represent in the equation $F = μN$?

  • Frictional force in newtons (correct)
  • Force in joules
  • Coefficient of friction
  • Normal force in newtons

Which equation relates initial and final velocities with acceleration and time?

  • $s = vot + \frac{1}{2}at^2$
  • $F1D1 = F2D2$
  • $v^2 = vo^2 + 2as$
  • $v = vo + at$ (correct)

What does the term $P.E.$ stand for in the equation $P.E. = mgh$?

  • Pressure energy
  • Potential energy (correct)
  • Power energy
  • Position energy

What is the gravitational acceleration (g) value used in the potential energy formula?

<p>9.8 m/s$^2$ (B)</p> Signup and view all the answers

What does the equation $K.E. = \frac{1}{2}mv^2$ represent?

<p>Kinetic energy of an object (C)</p> Signup and view all the answers

In the equation $s = vot + \frac{1}{2}at^2$, what does $s$ represent?

<p>Displacement (B)</p> Signup and view all the answers

In the formula $v^2 = vo^2 + 2as$, which variable represents acceleration?

<p>$a$ (B)</p> Signup and view all the answers

Which variable is NOT included in the equation for kinetic energy $K.E. = \frac{1}{2}mv^2$?

<p>Height (D)</p> Signup and view all the answers

In the relationship $F1D1 = F2D2$, what do $D1$ and $D2$ represent?

<p>Distance variables (D)</p> Signup and view all the answers

What is incorrect about using $s$ in the formula $s = vot + \frac{1}{2}at^2$ if acceleration is zero?

<p>Initial velocity cannot be zero (C)</p> Signup and view all the answers

What does the coefficient of entry loss (Ce) represent in the context of ventilation?

<p>The loss of pressure as air enters the hood (B)</p> Signup and view all the answers

How is the total pressure (TP) in a ventilation system calculated?

<p>TP = SP + VP (D)</p> Signup and view all the answers

Which variable is NOT included in the formula for calculating the effective rate of ventilation (Q′)?

<p>Molecular weight (MW) (D)</p> Signup and view all the answers

What does the term 'velocity pressure (VP)' refer to in air flow dynamics?

<p>Pressure generated by airflow velocity (B)</p> Signup and view all the answers

In the equation C = (Pv × 10^6) / Pb, what does C represent?

<p>Concentration in parts per million (ppm) (C)</p> Signup and view all the answers

What is the main purpose of the design distribution constant (K) in ventilation equations?

<p>To account for incomplete mixing of air (C)</p> Signup and view all the answers

Which equation correctly represents the relationship of the concentration over time?

<p>ln(C2/C1) = (G - Q) (t2 - t1) / V (B)</p> Signup and view all the answers

What does the flow rate (Q) formula Q = (constant × SG × ER) / (MW × C) indicate?

<p>Airflow influenced by specific gravity of liquids (B)</p> Signup and view all the answers

In the equation F = P(1 + i)^n, what does F represent?

<p>Future value of money (C)</p> Signup and view all the answers

What does Pf = 1 − R(t) signify in reliability analysis?

<p>Probability of failure of the system (A)</p> Signup and view all the answers

What does the equation $L_w = 10 \log_{10}(\frac{W}{W_o})$ calculate?

<p>Sound power level (C)</p> Signup and view all the answers

In the formula for sound pressure level, what is the reference sound pressure level ($p_o$)?

<p>0.00002 N/m2 (A)</p> Signup and view all the answers

What does the variable $T$ represent in the equation $T = \frac{L - 90}{5}$?

<p>Time allowed for exposure (B)</p> Signup and view all the answers

How is radiation intensity related to distance from the source, according to the equation $I_2 = I_1(\frac{d_1}{d_2})^2$?

<p>Intensity varies inversely with the square of the distance (D)</p> Signup and view all the answers

What does the term $D$ signify in the dosage equation $D = 100 \sum_{i=1}^{N} C_i/T_i$?

<p>Effective dose (B)</p> Signup and view all the answers

What does the equation $TWA = 16.61 \log_{10}(\frac{D}{100}) + 90$ calculate?

<p>Time weighted average (C)</p> Signup and view all the answers

What is the purpose of using $\beta$ in the equation $I = \beta I_0 e^{-\mu x}$?

<p>To factor in radiation scatter buildup (A)</p> Signup and view all the answers

In the noise reduction equation $dB = 10 \log_{10}(\frac{A_2}{A_1})$, what do $A_1$ and $A_2$ represent?

<p>Total absorption units before and after treatment (B)</p> Signup and view all the answers

Which variable in the equation $W = \frac{16 P}{\pi D^2}$ is responsible for the power density?

<p>W (D)</p> Signup and view all the answers

What does the equation $dB_1 = dB_0 - 20 \log_{10}(\frac{d_0}{d_1})$ allow you to calculate?

<p>Change in sound pressure level due to distance (A)</p> Signup and view all the answers

What does the spring constant (k) represent in the context of elastic potential energy?

<p>The stiffness of the spring (C)</p> Signup and view all the answers

Which formula correctly describes the relationship between force, mass, and acceleration?

<p>F = ma (D)</p> Signup and view all the answers

If the recommended weight limit (RWL) formula includes multiple multipliers, what is the role of the horizontal multiplier (HM)?

<p>It accounts for the horizontal distance from the body. (D)</p> Signup and view all the answers

In the equation for work done on an object due to gravity, which variable represents gravity's constant value?

<p>g = 9.8 m/s² (C)</p> Signup and view all the answers

What does ppm stand for in the context of gas concentration?

<p>Parts per million (A)</p> Signup and view all the answers

What is the purpose of using the Lower Flammability Limit (LFL) in chemical mixtures?

<p>To assess the mixture's flammability risk (A)</p> Signup and view all the answers

In the ideal gas law PV = nRT, what does the variable R represent?

<p>Universal gas constant (D)</p> Signup and view all the answers

What does the abbreviation SPfan refer to in the context of fan static pressure?

<p>Static pressure differential across the fan (B)</p> Signup and view all the answers

In the work equation W = Fs, what does the variable 's' represent?

<p>Distance over which the force is applied (B)</p> Signup and view all the answers

Flashcards

Frictional Force

The force that opposes motion between two surfaces in contact.

Coefficient of Friction

A measure of how much two surfaces resist sliding against each other.

Normal Force

The force acting perpendicular to a surface.

Work

The product of force and distance.

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Kinetic Energy

The energy of motion.

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Potential Energy

The energy an object possesses due to its position.

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Acceleration

The rate of change of velocity.

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Displacement

The change in an object's position.

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Momentum

The product of mass and velocity.

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Energy

The ability to do work.

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Elastic potential energy

The potential energy stored in a spring due to its compression or extension.

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Spring constant (k)

The force exerted by a spring when it's stretched or compressed, proportional to the displacement.

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Amount of compression (x)

The amount of compression or extension of a spring from its resting position.

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Mass (m)

A measure of an object's inertia, its resistance to changes in motion.

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Acceleration (a)

The rate of change of an object's velocity, how quickly its speed or direction changes.

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Momentum (ρ)

The product of an object's mass and its velocity, a measure of its motion.

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Force (F)

The force required to change an object's motion, calculated by mass times acceleration.

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Work done by gravity (W)

Work done on an object due to gravity, calculated by mass times gravity times height.

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Work (W)

The work done on or to an object by a force, calculated by force times distance.

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Lifting Index (LI)

A dimensionless ratio comparing the actual load lifted to the recommended weight limit.

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Hood Entry Loss (he)

The loss of pressure as air enters a hood, measured in inches of water gauge (″wg).

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Coefficient of Entry Loss (Ce)

A coefficient that represents the amount of pressure loss as air enters a hood. It's a ratio of velocity pressure to static pressure.

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Velocity Pressure (VP)

The pressure exerted by moving air, measured in inches of water gauge (″wg).

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Actual Ventilation Rate (Q)

The actual rate of ventilation, accounting for the mixing of contaminated and clean air, measured in cubic feet per minute (cfm).

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Specific Gravity (SG)

Specific gravity of a volatile liquid is a measure of its density compared to water.

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Evaporation Rate (ER)

The rate at which a liquid evaporates, measured in pints per minute.

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Design Distribution Constant (K)

A design factor that accounts for incomplete mixing of contaminated air, ranging from 1 to 10. It represents the inefficiency of air mixing.

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Molecular Weight (MW)

The molecular weight of a liquid (grams per mole).

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Desired Concentration at Time t (C)

The desired concentration of a gas or vapor at a specific time, typically the Threshold Limit Value (TLV) or Permissible Exposure Limit (PEL).

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Total Pressure (TP)

The total pressure in a duct, measured in inches of water gauge (″wg), which is the sum of static pressure and velocity pressure.

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Combined Sound Pressure Level (Lpt)

The combined sound pressure level of multiple sound sources.

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Individual Sound Pressure Level (Lpi)

The sound pressure level produced by a single source.

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Sound Power Level (Lw)

The intensity of a sound source in decibels, based on its acoustic power relative to a reference power.

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Sound Pressure Level (Lp)

The sound pressure level in decibels, based on the measured pressure relative to a reference pressure.

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Time Allowed for Exposure (T)

The amount of time allowed for exposure to a particular sound pressure level.

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Dosage (D)

A measure of overall noise exposure, calculated as the sum of individual exposure times relative to allowed exposure times.

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Calculated Sound Level at Different Distance (dB1)

The calculated sound level at a different distance from the original measurement point.

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Time Weighted Average (TWA)

The average noise level over a period of time, taking into account different exposure levels.

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Noise Reduction (dB)

The reduction in noise level achieved by adding sound absorption materials to a room or space.

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Noise Reduction (NR)

The amount of noise reduction per unit of length in a duct, determined by the duct's dimensions and lining material.

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Study Notes

Mechanics Equations

  • Frictional Force (F): F = μN (μ = coefficient of friction, N = newtons)
  • Forces and Distances: F₁D₁ = F₂D₂
  • Force (F): Measured in newtons
  • Distance (D): Measured in meters
  • Velocity (v): v = v° + at (v° = original velocity, a = acceleration, t = time)
  • Displacement (s): s = vt + (at²)/2 (v = initial velocity)
  • Final Velocity (v): v² = v°² + 2as (v° = initial velocity, a = acceleration)
  • Acceleration (a): the rate of change of velocity (meters per second squared)

Energy Equations

  • Kinetic Energy (K.E.): K.E. = (mv²)/2 (m = mass, v = velocity)
  • Potential Energy (P.E.): P.E. = mgh (m = mass, g = acceleration due to gravity, h = height)
  • Elastic Potential Energy (P.E.): P.E. = (kx²)/2 (k = spring constant, x = amount of compression)
  • Momentum (p): p = mv (m = mass, v = velocity)

Other Equations

  • Force (F): F = ma (m = mass, a = acceleration)
  • Work (W): W = Fs (F = force, s = distance)
  • Amount of Work from Gravity: W = mg (m = mass, g = gravitational acceleration
  • Ergonomics (Lifting Index): LI = L/RWL (LI = lifting index, RWL = recommended weight limit. RWL = LC × HM × VM × DM × AM × FM × CM (factors for further calculation))

Heat Stress and Relative Humidity

  • Indoor Heat Stress: 0.7WB + 0.3GT (WB = wet-bulb temperature, GT = globe temperature)
  • Outdoor Heat Stress: 0.7WB + 0.2GT = 0.1DB (WB = wet-bulb temperature, GT = globe temperature, DB = dry-bulb temperature)

Concentrations of Vapors and Gases

  • ppm (Parts per Million): ppm = mg/m³ * 24.45 / MW (mg/m³ = measured mg/m³ of the contaminant, MW = molecular weight of the contaminant)
  • TLV (Threshold Limit Value): TLV = f₁/TLV₁ + f₂/TLV₂ +... + fₙ/TLVn (fi = fraction of chemical in the mixture, TLV = threshold limit value of the chemical)
  • LFL (Lower Flammability Limit): LFLm = f₁/LFL₁ + f₂/LFL₂ +... + f/LFLn

Ventilation

  • Volumetric Flow Rate (Q): Q = VA (V = air velocity, A = cross-sectional area of duct)
  • Velocity (V): V = 4005√SP₁ (C = coefficient of entry loss, SP₁ = static pressure of hood)
  • Static Pressure (SP): SP = VP + he (VP = duct velocity pressure, he = overall hood entry loss)

Additional Considerations

  • For calculations involving corrections (e.g., incomplete mixing, corrections for sound pressure), consult the relevant section in the text.
  • Units (e.g., meters, newtons, kilograms) are essential for accurate calculation or reference.
  • Specific values for constants (e.g., g, K) and variables (e.g., temperatures) should be noted.

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Test your knowledge on fundamental mechanics and energy equations. This quiz covers topics such as frictional force, velocity, kinetic and potential energy, and momentum. Perfect for students looking to reinforce their understanding of physics concepts.

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