Engineering Physics Quiz

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Questions and Answers

How many grams of CO2 would be produced if 10 moles of oxygen were consumed in the oxidation process?

  • 880 grams
  • 440 grams (correct)
  • 660 grams
  • 220 grams

What is the new pressure in a 5L compressed-gas cylinder heated from 65°F to 110°F with an initial pressure of 3000 psig?

  • 6000 psig
  • 4000 psig
  • 3000 psig
  • 5000 psig (correct)

If the voltage in a DC circuit is 120 volts and the resistance is 9 ohms, what is the current?

  • 5.0 amps
  • 10.0 amps
  • 13.33 amps (correct)
  • 15.0 amps

What would be the remaining radioactivity from 1 Ci of Co-60 after 20 years, considering its half-life is 5.24 years?

<p>0.125 Ci (B)</p> Signup and view all the answers

What is the half-life for 226Ra given its decay constant is 1.36 × 10^-11 Bq per second?

<p>25.66 days (A)</p> Signup and view all the answers

What is the maximum duration in hours for which a lift frequency of 10 lifts per minute is appropriate?

<p>8 hours (B)</p> Signup and view all the answers

Which of the following represents the relationship between Load Weight and Recommended Weight Limit as given by the Lifting Index (LI)?

<p>LI = Load Weight / Recommended Weight Limit (C)</p> Signup and view all the answers

What is the primary function that should be included in a calculator according to the authors?

<p>Statistical function for mean, standard deviation, and correlation (C)</p> Signup and view all the answers

Which feature is emphasized for practical usability in the calculator design?

<p>User-friendly layout with larger keys (A)</p> Signup and view all the answers

For a coupling type rated as 'Fair', what multiplier should be used for vertical lifts greater than or equal to 30 inches?

<p>1.00 (B)</p> Signup and view all the answers

Which angular displacement is within the acceptable range for A?

<p>135º (C), 50º (D)</p> Signup and view all the answers

During calculations, what is a key aspect to consider for the design of calculators?

<p>Size of keys to avoid accidental presses (B)</p> Signup and view all the answers

What is the result of calculating $69.95 - 10%$ discount?

<p>$62.96 (B)</p> Signup and view all the answers

What value for D is appropriate if vertical lift distance is measured at 8 inches?

<p>10 inches (D)</p> Signup and view all the answers

Which of the following describes the required features of an approved calculator for BCSP examinations?

<p>Should have a good instruction manual (B)</p> Signup and view all the answers

Calculate the value of $\sin(30)$. What is the correct answer?

<p>0.5 (A)</p> Signup and view all the answers

For a frequency of 3 lifts per minute lasting up to 2 hours, what is the correct frequency multiplier?

<p>0.88 (B)</p> Signup and view all the answers

What is the output of calculating $90 + 16.61 \times \log_{10} 2$?

<p>95.5 (A)</p> Signup and view all the answers

What is the frequency multiplier for a lift frequency of 5 lifts per minute lasting up to 8 hours?

<p>0.35 (A)</p> Signup and view all the answers

In calculating RWL(lb), which adjustment factor decreases as vertical distance V increases?

<p>VM (C)</p> Signup and view all the answers

What is the simplified result of the expression $(4 \times 5) / (5 \times 4)$?

<p>1 (B)</p> Signup and view all the answers

For lifts with an angular displacement A of 90º, what is the likely impact on RWL?

<p>RWL will decrease (B)</p> Signup and view all the answers

What does the calculation of $1 / e^{-2.5}$ yield?

<p>0.92 (D)</p> Signup and view all the answers

In the context of hazardous materials, which is the safest action indicated for a concentration of 2.3% against PEL and IDLH?

<p>Respiratory protection should be selected (C)</p> Signup and view all the answers

What is the primary factor affecting the reliability R(t) in the formula R(t) = e⁻λᵗ?

<p>Failure rate (A)</p> Signup and view all the answers

In the NIOSH lifting equation, what does the variable A represent?

<p>Angle of asymmetry (C)</p> Signup and view all the answers

Which formula is used to calculate the sample standard deviation?

<p>S = √ (Σx² / (n-1)) (C)</p> Signup and view all the answers

What does the variable P in the combination formula represent?

<p>Number of combinations possible (A)</p> Signup and view all the answers

To calculate the z-score, which of the following components is NOT needed?

<p>Sample size n (A)</p> Signup and view all the answers

What is the significance of the coefficient of correlation r?

<p>It indicates the quality of a linear relationship between two variables. (D)</p> Signup and view all the answers

In the hydrostatics formula P = (Q²/891d⁴), what does 'd' represent?

<p>Internal diameter (C)</p> Signup and view all the answers

Which of the following is the correct conversion for pressure measurement?

<p>1 atmosphere = 14.7 psi (B)</p> Signup and view all the answers

Which formula corresponds to calculating the pressure drop in hydraulic systems?

<p>P = (4.52 Q¹.⁸⁵) / (C¹.⁸⁵ 4.87) (D)</p> Signup and view all the answers

What is the formula used to calculate the Time Weighted Average (TWA) of a chemical exposure?

<p>TWA = (C₁ × T₁ + C₂ × T₂ + ...+ C × T) / (T₁ + T₂ + ...+ T) (A)</p> Signup and view all the answers

Which equation correctly describes the relationship between Pressure (P), Volume (V), and Temperature (T) in the Combined Gas Law?

<p>PIV₁ = P₂V₂/T² (D)</p> Signup and view all the answers

What does LFL represent in the context of chemical safety?

<p>Lower Flammable Limit (D)</p> Signup and view all the answers

To calculate TLV for a mixture of chemicals, which of the following expressions is correct?

<p>TLV = 1 / (f₁/TLV₁ + f₂/TLV₂) (A)</p> Signup and view all the answers

Which of the following correctly defines the molecular weights (MW) relationship in the formula for calculating ppm?

<p>ppm = mg/m³ × 24.45 / MW (C)</p> Signup and view all the answers

In the context of electrical formulas, which equation describes Ohm's law?

<p>V = I × R (C)</p> Signup and view all the answers

What is the correct expression to calculate the resistance in a parallel circuit?

<p>1/R = 1/R1 + 1/R2 + ... + 1/RN (D)</p> Signup and view all the answers

Flashcards

Time Weighted Average (TWA)

Calculation that takes into account the concentration of a chemical and the time of exposure in order to determine the average exposure level over a given timeframe.

Lower Flammable Limit (LFL)

The lowest concentration of a flammable vapor in air that will support combustion in the presence of an ignition source. It's the point below which the mixture will not ignite.

Threshold Limit Value (TLV)

A measure of the concentration of a substance in air that represents the level below which most workers can be repeatedly exposed without adverse effects, as determined by regulations.

Combined Gas Law

The combined gas law equation combines Boyle's law and Charles' law. It describes the relationship between pressure, volume, and temperature of a gas. This law can be used to predict how gases behave under changing conditions.

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Resistance in Series (RSERIES)

This formula shows how the total resistance when resistors are connected in series is calculated. The total resistance is the sum of individual resistances.

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Power (P)

This equation demonstrates how the total power in a circuit is calculated. Power is the rate at which energy is consumed or transferred.

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Resistance in Parallel (RPARALLEL)

This equation shows how the total resistance is calculated when resistors are connected in parallel. Each resistor provides an alternate path for the current, reducing overall resistance.

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Ohm's Law

This fundamental law of electrical circuits relates voltage (V), current (I), and resistance (R). It states that the voltage across a conductor is directly proportional to the current flowing through it, and the constant of proportionality is the resistance.

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Reliability (R(t))

The probability of an event occurring in a specific timeframe (e.g., the probability of a machine failing within a year).

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Expected Number of Events (λ)

The rate at which an event is expected to occur, usually calculated as the average number of events per unit of time.

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Z-score

A statistical measure that indicates how closely data points are clustered around the mean. A Z-score of 0 represents the mean. Values greater than 0 are above the mean, and values less than 0 are below the mean.

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Sample Standard Deviation (S)

A statistical measure that describes the variability or spread of a set of data. It indicates how far, on average, data points are from the mean.

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Coefficient of Correlation (r)

The calculated value that represents the strength and direction of a linear relationship between two variables. Values range from -1 to 1 where a value of 1 indicates a positive linear relationship and -1 indicates a negative relationship.

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Flow Rate (Q)

Measure of the capacity of a fluid flowing through a pipe which is measured in gallons per minute (gpm).

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Pressure (P)

Measure of force per unit area, usually expressed in pounds per square inch (psi).

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Coefficient of Roughness (C)

A measure of the roughness of a pipe's interior surface. Influences the pressure drop and flow rate through the pipe.

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Pressure Drop

A measure of the resistance encountered by fluid flowing through a pipe, usually expressed in pounds per square inch (psi).

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Horizontal Distance (V)

The horizontal distance between the hands when lifting, measured center to center.

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Vertical Distance (D)

The vertical distance between the hands and the floor at the start of the lift.

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Lifting Frequency (F)

The frequency of lifts per minute, limited to a maximum of 15 lifts per minute.

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Angular Displacement (A)

The angular displacement of the back during the lift, measured in degrees.

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Recommended Weight Limit (RWL)

The maximum acceptable weight that can be lifted safely, based on specific lifting conditions.

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Coupling Multiplier (CM)

A multiplier used to account for the coupling type, which describes the quality of grip and hold during a lift.

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Frequency Multiplier (FM)

A multiplier used to account for the frequency of lifts per minute, and duration of the lifting task.

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Vertical Multiplier (VM)

A multiplier used to account for the vertical distance of the lift, considering the distance from the ground and the lifter's height.

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Horizontal Multiplier (HM)

A multiplier used to account for the horizontal distance between the lifter's hands.

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Distance Multiplier (DM)

A multiplier used to account for the distance to the object's center of gravity, considering the handle's location.

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What is the Threshold Limit Value (TLV)?

A measure of the concentration of a substance in air that represents the level below which most workers can be repeatedly exposed without adverse effects, as determined by regulations.

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What is power?

The rate at which energy is consumed or transferred.

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What is Lower Flammable Limit (LFL)?

The lowest concentration of a flammable vapor in air that will support combustion in the presence of an ignition source. It's the point below which the mixture will not ignite.

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What is the Combined Gas Law?

The combined gas law equation combines Boyle's law and Charles' law. It describes the relationship between pressure, volume, and temperature of a gas. This law can be used to predict how gases behave under changing conditions.

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What is the equation for Power (P)?

This equation demonstrates how the total power in a circuit is calculated. Power is the rate at which energy is consumed or transferred.

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Mean

A mathematical function that calculates the average of a set of numbers.

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Standard Deviation

A measure of how spread out a set of data points are from the mean.

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Correlation

A statistical measure that shows the strength and direction of the linear relationship between two variables.

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Factorial

A mathematical function that calculates the product of successive positive integers down to 1.

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Combination

A mathematical function that calculates the number of ways to choose a subset of elements from a set, where order doesn't matter.

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Permutation

A mathematical function that calculates the number of ways to order a subset of elements from a set.

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Universal Power Function

A function that raises a number to a power.

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Scientific Notation

A way to represent very large or very small numbers using powers of 10.

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Logarithm

A function used to find the power to which a base must be raised to obtain a given number.

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e

Represents the base of the natural logarithm, an important mathematical constant approximately equal to 2.71828.

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Study Notes

ASP Math Equations and Formulas

  • Concentrations of Vapors and Gases Formulas:

    • ppm = mg/m³ x 24.45 / MW
    • ppm = parts per million in concentration
    • mg/m³ = milligrams/cubic meter
    • MW = Molecular Weight of the substance
  • TWA (Time Weighted Average):

    • TWA = [(C₁ × T₁) + (C₂ × T₂) + ... + (C x T)] / (T₁ + T₂ + ... + T)
    • C = Concentration of chemical
    • T = Time of exposure
  • LFL (Lower Flammable Limit):

    • LFLm = LFL₁ + LFL₂ + ... + LFLm
    • f = fraction by weight
  • TLV (Threshold Limit Value):

    • TLVmix = TLV₁ + TLV₂ +... + TLVn
    • f=fraction by weight (% expressed as 0.XX)

Electrical Formulas

  • V = IR or E = IR

    • E or V = Voltage
    • I = Current (Amperage)
    • R = Resistance (Ohms)
  • RSERIES = R₁ + R₂ + ... + RN

    • R = Resistance (Ohms)
  • P= VI or P = EI

    • P = Power (Watts)
    • I = Current (Amperage)
    • E or V = Voltage
  • RPARALLEL = 1/R₁ + 1/R₂ + ... + 1/RN

    • R = Resistance (Ohms)

Radiation Formulas

  • N = No e-kt

    • N = radioactivity remaining after time t
    • No = radioactivity at a given original time
    • t = elapsed time
    • k = disintegration constant
    • e = second function natural log
  • A= Aoe-kt/2

    • A = radioactivity remaining after time t
    • Ao = radioactivity at a given original time
    • t = elapsed time
    • k = disintegration constant
  • T1/2 = ln2/k or 0.693(natural log of 2)/k

    • T1/2 = half life of radionuclide
    • k = constant of disintegration

Structural and Mechanical Calculations

  • Area and Volume Formulas:

    • Circumference of a circle = 2πr or πd
    • Area of a circle = πr² or πd²/4
    • Area of a rectangle = length × width
    • Area of a triangle = 1/2 × base × height
    • Volume of a tank = πr²h or πd²/4 h
    • Volume of a cube = length × width × height
  • Trigonometric Functions:

    • sin A = a / c
    • cos A = b / c
    • tan A = a / b
  • Engineering Control Calculations: Q = AV Q = the Volumetric Flow Rate in the duct A = the Cross-Sectional Area of the duct under consideration V = the Velocity, or Duct Velocity, of the gases moving in the duct

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