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Questions and Answers

What is the primary function that is considered most important for a new calculator according to user needs?

  • Large enough for practical use
  • Scientific notation
  • A universal power function
  • A statistical function capable of calculating mean, standard deviation, and correlation (correct)

Which of the following features is NOT recommended for a modern calculator?

  • A universal power function
  • A change sign function for numbers
  • Combinations and factorial functions
  • Having excessively small keys (correct)

What is the result of calculating $90 + 16.61 × log_{10} 2$?

  • 100
  • 105.2
  • 95 (correct)
  • 90.5

What is the final answer for the expression $(70 + 50 / 12) / (5 x 5)$?

<p>2.8 (A)</p> Signup and view all the answers

What is the result when calculating the sine of 30 degrees?

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

Which formula correctly calculates the parts per million (ppm) of a substance given its mass in milligrams per cubic meter and molecular weight?

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

In the calculation of the Time Weighted Average (TWA), which variable represents the concentration of a chemical?

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

What does the TLV represent in the context of hazardous mixtures?

<p>Threshold Limit Value (A)</p> Signup and view all the answers

For a gas mixture, when calculating the Lower Flammable Limit (LFL), which of the following statements is true?

<p>LFL calculation requires the combined fractions of all flammable gases present. (A)</p> Signup and view all the answers

According to the Combined Gas Law, if volume increases while temperature remains constant, what is the expected change in pressure?

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

What does the formula V = IR represent in electrical principles?

<p>Voltage equals Current times Resistance (A)</p> Signup and view all the answers

In a series circuit with three resistors, how is the total resistance calculated?

<p>R = R1 + R2 + R3 (C)</p> Signup and view all the answers

What is the formula for calculating the half-life of a radionuclide?

<p>T1/2 = ln2 / k (D)</p> Signup and view all the answers

Which type of radiation is primarily stopped by skin or paper?

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

In the equation I₂ = I₁(d₁ / d₂)², what does 'd' represent?

<p>The distance from the source (C)</p> Signup and view all the answers

What is the formula for the volume of a cube?

<p>Volume = length³ (A)</p> Signup and view all the answers

What do the variables A, V, and Q represent in the equation Q = AV?

<p>Volumetric flow rate, cross-sectional area, and velocity (D)</p> Signup and view all the answers

Which shielding material is effective against gamma and X-ray radiation?

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

In trigonometry, which equation represents the tangent of an angle A?

<p>tan A = rise/run (D)</p> Signup and view all the answers

Which variable is NOT part of the radioactivity formula N = Noe⁻ᵏᵗ?

<p>T1/2 (C)</p> Signup and view all the answers

The formula for the area of a triangle is expressed as?

<p>$A = 1/2 × base × height$ (D)</p> Signup and view all the answers

What is the formula for determining the Capture Velocity for hoods without flanges?

<p>V = Q / (10x² + A) (C)</p> Signup and view all the answers

Which variable represents the Volumetric Flow Rate in the Capture Velocity formulas?

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

What additional factor is included in the outdoor WBGT formula that is not in the indoor formula?

<p>Dry Bulb Temperature (D)</p> Signup and view all the answers

In the noise formulas, what does Lw represent?

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

What do the variables P and P₀ represent in the sound pressure level formula?

<p>Final sound pressure and reference sound pressure (C)</p> Signup and view all the answers

What does the 3-dB rule indicate in noise exposure calculations?

<p>Exposure time doubles with every 3 dB increase (C)</p> Signup and view all the answers

In the formula for total sound pressure level, what does Lpt account for?

<p>Combined sound from multiple sources (A)</p> Signup and view all the answers

Which of the following is true regarding the 6-dB rule?

<p>A 6 dB increase indicates a doubling of intensity. (C)</p> Signup and view all the answers

What does the noise dose formula represent?

<p>Cumulative impact of noise exposure over time (A)</p> Signup and view all the answers

Which component is NOT part of the WBGT indoor formula?

<p>Dry Bulb temperature (DB) (C)</p> Signup and view all the answers

What does the symbol λ represent in the context of reliability calculations?

<p>Failure rate based on event occurrence (D)</p> Signup and view all the answers

Which formula represents the relationship for calculating the z-score?

<p>Z = (X - μ) / σ (A)</p> Signup and view all the answers

In the NIOSH Lifting Equation, which factor does not directly influence the Recommended Weight Limit (RWL)?

<p>Type of load material (D)</p> Signup and view all the answers

What is represented by the variable P in the context of probability?

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

Which of the following represents the formula for sample standard deviation?

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

In hydrostatics, what does the variable Q represent?

<p>Flow rate in gallons per minute (D)</p> Signup and view all the answers

Which of the following correctly defines the relationship between pressure and diameter as represented by the formula P = (Q²/891d⁴)?

<p>Pressure is proportional to the square of the flow rate and inversely proportional to the fourth power of diameter. (A)</p> Signup and view all the answers

Which statement is true about the value of V in the NIOSH Lifting Equation?

<p>V is an absolute value indicating deviation from a minimum of 30 inches. (D)</p> Signup and view all the answers

Which formula is used to calculate the number of combinations when taking n things k at a time?

<p>C = n! / (k!(n-k)!) (D)</p> Signup and view all the answers

What does the term R(t) represent in reliability calculations?

<p>Reliability at a specified time (A)</p> Signup and view all the answers

Flashcards

ppm (Parts per Million)

A measure of the concentration of a substance in the air, expressed as parts per million (ppm).

TWA (Time Weighted Average)

The time-weighted average concentration of a substance in the air over a specified period, typically an 8-hour workday.

LFL (Lower Flammable Limit)

The lowest concentration of a flammable substance in air that will support combustion.

TLV (Threshold Limit Value)

The concentration of a substance in the air that is considered safe for most workers to breathe for an 8-hour workday.

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TLVmix (Combined Threshold Limit Value)

A formula used to calculate the combined effect of multiple hazardous substances in the air.

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Combined Gas Law

A formula that relates pressure, volume, and temperature of a gas.

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Electrical Formulas

A set of formulas that relate voltage, current, and resistance in an electrical circuit.

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1/Rn

The inverse proportionality between resistance and current in a circuit. Higher resistance leads to lower current flow.

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Radiation Intensity Formula

The intensity of radiation decreases with the square of the distance from the source.

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Radioactivity Decay Formula (N)

Calculates the remaining radioactivity after a given time, using the disintegration constant and time elapsed.

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Radioactivity Decay Formula (A)

Same calculation as N formula but uses the half-life of the radionuclide.

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Half-life Calculation Formula

Calculates the half-life of a radionuclide based on its disintegration constant.

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Circumference of a circle

The circumference of a circle is calculated by multiplying the diameter by pi.

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Area of a circle

The area of a circle is calculated by multiplying pi by the square of the radius.

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Volume of a tank

The volume of a tank is calculated by multiplying the area of its base by its height.

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Sin (Sine) Formula

A trigonometric function that calculates the ratio of the opposite side to the hypotenuse in a right triangle.

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Statistical Function

A mathematical function used to calculate the average, spread, and relationship between data points.

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Change Sign Function

A function on a calculator that changes the sign (positive or negative) of a number or exponent.

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Universal Power Function

A function that raises any number to any power.

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Scientific Notation

A way of writing very large or very small numbers using exponents.

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Combinations Function

A function that calculates the number of ways to choose a certain number of items from a set, without regard to order.

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Capture Velocity (V)

The centerline velocity of air entering a hood, measured in feet per minute (fpm) at a distance 'x' from the hood opening.

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Volumetric Flow Rate (Q)

The volumetric flow rate of air through a hood, measured in cubic feet per minute (cfm).

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Distance (x)

The distance from the plane of the hood opening to the point where Capture Velocity is measured, measured in feet (ft).

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Cross-Sectional Area (A)

The area of the hood opening, measured in square feet (ft²).

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Wet Bulb Globe Temperature (WBGT)

A measure of heat stress, taking into account wet bulb temperature, globe temperature, and dry bulb temperature.

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Indoor WBGT Formula

The formula used to calculate WBGT in an environment without direct sunlight.

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Outdoor WBGT Formula

The formula used to calculate WBGT in an environment with sunlight exposure.

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Sound Power Level (Lw)

The sound power level measured in decibels (dB), representing the total acoustic power emitted by a sound source.

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Sound Pressure Level (Lp)

The sound pressure level measured in decibels (dB), representing the intensity of sound pressure at a specific point.

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6-dB Rule

A rule that states that every doubling of the distance from a noise source reduces the sound pressure level by 6 dB.

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Coefficient of Correlation (r)

The coefficient of correlation, often denoted by 'r', measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

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Z-score

The z-score is a standardized measure of how many standard deviations a data point is away from the mean. It is calculated by subtracting the mean from the data point and dividing by the standard deviation.

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Probability of Failure (P₁)

The probability of failure, denoted as P₁, is calculated as 1 minus the reliability (R(t)) at a specific time (t). It represents the likelihood that a system or component will fail within that given timeframe.

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Reliability (R(t))

Reliability, denoted as R(t), signifies the probability that a system or component will perform its intended function without failure within a specified period of time (t). It's calculated using an exponential function with the failure rate (λ) and time (t).

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Failure Rate (λ)

The failure rate, denoted by λ, is the reciprocal of the mean time between failures (MTBF). It represents the average number of failures per unit time.

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Poisson Distribution (P)

The Poisson distribution (P) is a discrete probability distribution that describes the probability of observing a specific number of events (r) in a fixed period of time or space, given a known average rate of events (λ).

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Sample Standard Deviation (S)

The sample standard deviation (S) measures the spread or variability of data points in a sample. It is calculated using the formula S = √(Σx²/ (n-1)). X represents each data point, X is the sample mean, and n is the sample size.

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Pressure Drop (P) in Pipe Flow

The pressure drop (P) across a length of pipe can be calculated using the formula P = (4.52 Q¹.⁸⁵) / (C¹.⁸⁵ 4.87d). It takes into account the flow rate (Q), the coefficient of roughness (C), and the pipe's internal diameter (d).

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Flow Rate (Q) in Pipe Flow

The flow rate (Q) through a pipe can be calculated using the formula Q = (Q²/0.54(S-R₂)). This formula involves the static pressure (S) and the residual pressure (R).

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Pressure Velocity (P) in Pipe Flow

The pressure velocity (P) in a pipe is calculated using the formula P = (Q²/ 891d⁴). This formula involves the flow rate (Q) and the pipe's internal diameter (d).

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