Measurement Conversion Quiz
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Questions and Answers

How many centimeters are in one meter?

  • 1 cm
  • 100 cm (correct)
  • 10 cm
  • 1000 cm

If 1 mile is equal to 5280 feet, how many feet are in 3 miles?

  • 13200 feet
  • 2640 feet
  • 15840 feet (correct)
  • 3960 feet

What is the equivalent of 1 inch in centimeters?

  • 2 cm
  • 3.14 cm
  • 1.5 cm
  • 2.54 cm (correct)

How many meters are there in one mile?

<p>1609 meters (B)</p> Signup and view all the answers

What is the conversion factor for miles per hour to feet per second?

<p>1 mph = 1.47 ft/s (A)</p> Signup and view all the answers

What is the volume of 1 cubic foot in cubic meters?

<p>0.02832 m³ (A)</p> Signup and view all the answers

How much does 1 gallon equal in liters (US)?

<p>3.785 L (A)</p> Signup and view all the answers

What is the formula to calculate work done?

<p>W = FS (A)</p> Signup and view all the answers

If a force is acting at an angle of 30° and the normal force is 400 N, what is the formula to calculate the frictional force?

<p>Ffric = 400 N(0.35) (A)</p> Signup and view all the answers

What does the equation $v = v_0 + at$ represent?

<p>The final velocity of an object after acceleration (A)</p> Signup and view all the answers

Which type of distribution is described as having Mean < Median < Mode?

<p>Left skewed distribution (B)</p> Signup and view all the answers

Which of the following measures is NOT considered a measure of central tendency?

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

What is the equivalent of 1 bar in psi?

<p>14.5 psi (B)</p> Signup and view all the answers

How many pounds are in 1 ton (US)?

<p>2000 lb (D)</p> Signup and view all the answers

What is the conversion of 1 foot-candle to lux?

<p>10.76 lux (A)</p> Signup and view all the answers

What is the volume of 1 gallon in milliliters?

<p>3785 ml (A)</p> Signup and view all the answers

How is the temperature in Celsius converted to Fahrenheit?

<p>$ rac{9}{5}°C + 32$ (D)</p> Signup and view all the answers

What is the density of water in lb/ft3?

<p>62.4 lb/ft3 (A)</p> Signup and view all the answers

What is the equivalent of 1 radian in degrees?

<p>$ rac{180°}{ ext{π}}$ (A)</p> Signup and view all the answers

How many kilopascals are in 1 pound-force per square inch?

<p>6.89 kPa (C)</p> Signup and view all the answers

What is the conversion factor for 1 kilometer in miles?

<p>1.61 miles (A)</p> Signup and view all the answers

What is the formula for calculating potential energy?

<p>P.E. = mgh (D)</p> Signup and view all the answers

Which statement is true regarding elastic potential energy and Hooke's law?

<p>No elastic potential energy is stored in a spring unless it is either stretched or compressed. (C)</p> Signup and view all the answers

What does the spring constant 'k' represent in the formula for elastic potential energy?

<p>The material property indicating the stiffness of the spring (A)</p> Signup and view all the answers

How is the force of friction calculated?

<p>F = μN (A)</p> Signup and view all the answers

What is the value of 'g' used in potential energy calculations near the earth's surface?

<p>9.8 m/s² (D)</p> Signup and view all the answers

What happens to the elastic potential energy as the amount of compression 'x' increases in a spring?

<p>It increases quadratically. (D)</p> Signup and view all the answers

What is the frictional force acting on a 40-kg block of wood resting on a floor with a coefficient of friction of 0.6?

<p>240 N (A)</p> Signup and view all the answers

Which of the following statements about tension forces is true?

<p>Tension forces involve pulling and counter compression. (D)</p> Signup and view all the answers

In the context of energy, what type of energy is stored in a compressed or stretched spring?

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

What is the unit of force in the International System of Units (SI)?

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

What is the conversion formula for temperature from Fahrenheit to Celsius?

<p>Tc = (Tf - 32) × 1.8 (A)</p> Signup and view all the answers

What is the volume formula for a cylinder?

<p>V = πr²h (A)</p> Signup and view all the answers

How many joules are in one British thermal unit (BTU)?

<p>1055 Joules (D)</p> Signup and view all the answers

What is the formula for calculating the area of a rectangle?

<p>Area = length * width (B)</p> Signup and view all the answers

What does 1 gram per cubic centimeter (gm/cm³) convert to in slugs per cubic foot?

<p>1.94 slugs/ft³ (B)</p> Signup and view all the answers

Which formula correctly represents the kinetic energy of an object?

<p>K.E. = ½ mv² (C)</p> Signup and view all the answers

What is the equivalent of 1 rad in grays?

<p>0.1 gray (C)</p> Signup and view all the answers

What is the value of gravitational acceleration in ft/sec²?

<p>32.2 ft/sec² (D)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>Area = πr² (B)</p> Signup and view all the answers

What is Planck’s constant expressed in J·sec?

<p>6.626 × 10⁻³⁴ J·sec (C)</p> Signup and view all the answers

Flashcards

Meter (m)

A unit of length equal to 100 centimeters (cm) or 1000 millimeters (mm).

Mile (mi)

A unit of distance equal to 1609 meters (m) or 5280 feet (ft).

Square Yard (sq yd)

A unit of area equal to 9 square feet (sq ft).

Cubic Foot (cu ft)

A unit of volume equal to 1728 cubic inches (cu in).

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Pound per square inch (psia)

A unit of pressure equal to 6.895 kiloNewtons per square meter (kN/m²).

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Mile per hour (mph)

A measurement of speed equal to 1.467 feet per second (ft/s).

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Btu (British thermal unit)

A synonym for 'calorie'

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Bar

A unit of pressure equal to 101,325 Pascals. It is also equivalent to 1 atmosphere (atm).

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PSI

A unit of pressure equal to 14.5 pounds per square inch (psi).

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kPa

A unit of pressure equal to 1000 Pascals.

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mmHg

A unit of pressure equal to one millimeter of mercury.

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Specific Heat Capacity

The amount of heat required to raise the temperature of one gram of a substance by one degree Celsius.

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British Thermal Unit (BTU)

A unit of energy equal to 1055 Joules.

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Pound-Force

A unit of force commonly used in the Imperial system.

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Pound-Force per Square Inch

A unit of pressure commonly used in the Imperial system.

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Density

The mass per unit volume of a substance.

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Friction

The force that resists motion between two surfaces in contact.

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Coefficient of Friction (μ)

The measure of how much a surface resists sliding or moving.

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Work Done (W)

The product of a force and the distance over which it acts.

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Inertia

The tendency of a body to resist change in its state of rest or uniform motion.

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Force

The rate of change of momentum.

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Atmospheric pressure

The pressure exerted by the atmosphere at sea level. It is also known as standard atmospheric pressure.

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Atmosphere (atm)

A unit of pressure equal to 760 torr (101.3 kPa).

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Calorie (cal)

A unit of energy equal to 4.186 Joules. It is used to measure the amount of heat required to raise the temperature of one gram of water by one degree Celsius.

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Foot-pound (ft-lb)

A unit of energy equal to 1.356 Joules. It is used to measure the energy of a force acting over a distance.

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Kinetic Energy (K.E.)

The energy possessed by a body due to its motion. It is directly proportional to the mass and the square of the velocity of the body.

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Acceleration

The rate of change of velocity over time. It is usually measured in meters per second squared (m/s²).

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Velocity of Light

The speed of light in a vacuum. It is a fundamental physical constant.

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Kinetic Energy

The energy an object possesses due to its motion. It depends on the object's mass and speed. For example, a moving car has kinetic energy.

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Potential Energy

Energy stored in an object due to its position relative to a reference point, usually Earth's surface. It depends on mass, gravitational acceleration, and height. For example, a book on a shelf has potential energy.

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Elastic Potential Energy

Energy stored in materials like springs when they are stretched or compressed. It is released when the material returns to its original state. Consider a stretched rubber band.

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Hooke's Law

A fundamental law in physics that relates the force exerted by a spring to its displacement from its equilibrium position. Think of pushing a spring. The more you push, the harder it pushes back!

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Frictional Force

Force that opposes motion between two surfaces in contact. It is directly proportional to the normal force pressing the surfaces together. For example, friction makes it hard to slide a box on the floor.

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Drag Force

A force that resists the motion of an object through a fluid (liquid or gas). It depends on the object's shape, speed, and the fluid's viscosity. For example, air resistance opposes a car's motion.

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Power

The rate at which work is done or energy is transferred. It is measured in Watts (W). For example, a 100-watt light bulb uses 100 joules of energy per second

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Study Notes

Conversions

  • 1 m = 100 cm
  • 1 m = 1000 mm
  • 1 m = 1,000,000 microns
  • 1 km = 1000 m
  • 1 mile = 5280 feet
  • 1 mile = 1609 meters
  • 1 mile/hour = 1.47 ft/second
  • 1 inch = 2.54 cm
  • 1 foot = 30.48 cm
  • 1 meter = 3.281 feet
  • 1 foot = 12 inches

Length

  • 2.54 cm = 1 inch
  • 25.4 mm = 1 inch
  • 12 inches = 1 foot
  • 3 feet = 1 yard
  • 5280 feet = 1 mile
  • 1760 yards = 1 mile

Energy

  • 1 cal = 0.003968 Btu
  • 1 cal = 4.187 J
  • 1 Btu = 252 cal

Velocity

  • 1 ft/s = 0.3048 m/s
  • 1 ft/s = 0.8618 mi/h
  • 1 ft/s = 0.5921 knots
  • 1 m/s = 3.281 ft/s
  • 1.609 km = 1 mile
  • 0.868 nautical mile = 1 US mile
  • 1 mi/h = 0.4470 m/s
  • 1 mi/h = 1.467 ft/s

Area

  • 1 sq in. = 6.452 sq cm
  • 1 sq in. = 6452 sq mm
  • 1 sq ft = 144 sq in.
  • 1 sq ft = 0.09290 sq m
  • 1 sq yd = 9 sq ft
  • 645.2 sq inches = 1 sq foot

Volume

  • 1 cm³ = 1 mL
  • 1 in³ = 16.39 cm³
  • 1 ft³ = 1728 in³
  • 1 cu ft = 0.02832 cu m
  • 1 L = 1.057 quarts (US)
  • 0.9463 L = 1 quart (US)
  • 7.4 US gallons = 1 ft³
  • 1 US gallon = 0.8327 Imperial gallons

Density

  • 1 lb/cu ft = 0.01602 cu cm
  • 1 g/cu cm = 62.42 lb/cu ft
  • 1 g/cu cm = 1000 kg/cu m
  • 1 kg/cu m = 0.01602 g/cu cm

Pressure

  • 1 psia = 6.895 kN/m²
  • 1 psia = 0.0680 atm
  • 1 psia = 27.67 in. H₂O
  • 1 bar = 14.5 PSI= 0.98 atm=760 mm Hg=105 N/m²
  • 1 psia = 51.72 mm Hg
  • 1 psig = ADD 14.7 psia
  • 1 mm Hg (Torr) = 0.01934 psia

Mass and Weight

  • 16 ounces(oz) = 1 lb
  • 1 g = 1000 mg
  • 2.205 lb = 1 kg
  • 1 ton (US) = 2000 lb
  • 1 metric ton = 1000 kg
  • 1 dram = 1771.85 mg

Concentration

  • 1 ppm = 1 mg/L
  • 1 mg/m³ = 1 × 10⁻⁹ g/cm³
  • 1 g/cm³ = 1 × 10⁹ mg/m³
  • 1 g/m³ = 62.42 lb/ft³
  • 1 lb/ft³ = 0.01602 g/cm³

Force

  • 1 pound-force = 4.45 Newtons
  • 1 pound-force/square inch = 6.89 kilopascals

Illumination

  • 1 foot-candle = 10.76 candela/m²
  • 1 foot-lambert = 3.426 lux

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Description

Test your knowledge on various measurement conversions including distances, volumes, and temperature. This quiz covers topics from metric and imperial units to formulas for calculating work and density. Challenge yourself and see how well you understand these essential concepts!

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