Unit Conversion Quiz
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Questions and Answers

How many centimeters are in one meter?

  • 100 cm (correct)
  • 10 cm
  • 10000 cm
  • 1000 cm

What is the equivalent of 1 mile in meters?

  • 1590 meters
  • 1610 meters
  • 1609 meters (correct)
  • 1600 meters

How many inches are there in 1 foot?

  • 16 inches
  • 14 inches
  • 12 inches (correct)
  • 10 inches

When converting speed, how many meters per second is equivalent to 1 foot per second?

<p>0.3048 m/s (D)</p> Signup and view all the answers

What is the volume of 1 cubic foot in liters?

<p>28.32 L (B)</p> Signup and view all the answers

How many calories are there in 1 Btu?

<p>252 cal (D)</p> Signup and view all the answers

If a boat travels at 1 knot, what is its speed in miles per hour?

<p>1.151 mi/h (B)</p> Signup and view all the answers

What is the conversion factor from pounds to kilograms?

<p>2.205 lb = 1 kg (D)</p> Signup and view all the answers

Which unit is equivalent to one atmosphere in pressure?

<p>14.7 psi (D)</p> Signup and view all the answers

How many milliliters are in one US fluid ounce?

<p>29.57 ml (B)</p> Signup and view all the answers

What is the mass of one US gallon of water in pounds?

<p>8.34 lb (B)</p> Signup and view all the answers

If a temperature conversion from Fahrenheit to Celsius is done, which formula is used?

<p>°C = 9(°F − 32)/5 (B)</p> Signup and view all the answers

What is the relationship between pounds and grams?

<p>1 lb = 454 g (C)</p> Signup and view all the answers

What is the equivalent of one bar in atmospheric pressure?

<p>0.9869 atm (B)</p> Signup and view all the answers

Which conversion is correct for length?

<p>1 mile = 1.60 kilometers (A), 1 foot = 0.305 meters (D)</p> Signup and view all the answers

How many watts are in one kilowatt-hour?

<p>3600 W (B)</p> Signup and view all the answers

What is the relationship between force and mass according to Newton's second law?

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

Which of the following formulas can be used to calculate distance when acceleration is involved?

<p>s = v0t + ½ at^2 (B)</p> Signup and view all the answers

What does the coefficient of friction represent in the context of forces?

<p>The maximum frictional force divided by the normal force (B)</p> Signup and view all the answers

In a right-skewed distribution, how do the mean, median, and mode relate to each other?

<p>Mode &lt; Median &lt; Mean (D)</p> Signup and view all the answers

What is the correct calculation for work done (W) given force (F) and distance (S)?

<p>W = F * S (A)</p> Signup and view all the answers

What is the correct formula to calculate the volume of a cylinder?

<p>V = πr^2h (B)</p> Signup and view all the answers

Which of the following is the correct conversion from degrees Celsius to Kelvin?

<p>K = C + 273 (A)</p> Signup and view all the answers

What is the area of a triangle given a base of 10 units and a height of 5 units?

<p>25 square units (A)</p> Signup and view all the answers

Which of the following relationships correctly describes the conversion of calorie to Joule?

<p>1 calorie = 4.186 Joule (D)</p> Signup and view all the answers

What is the equation for kinetic energy?

<p>K.E. = ½ mv^2 (B)</p> Signup and view all the answers

Which of the following represents the correct formula for calculating the area of a circle?

<p>Area = πr^2 (A)</p> Signup and view all the answers

What is the density of water in slugs per cubic foot?

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

What does Avogadro’s number represent?

<p>6.022 x 10^23 molecules in a mole (C)</p> Signup and view all the answers

Which of the following formulas calculates the area of a rectangle?

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

Which is the correct equivalent for 1 Joule in terms of kilograms, meters, and seconds?

<p>1 Joule = 1 kg · m^2/s^2 (A)</p> Signup and view all the answers

What is the formula for calculating potential energy?

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

If a spring has a spring constant of 200 N/m and is compressed by 0.5 meters, what is the elastic potential energy stored in the spring?

<p>50 J (B)</p> Signup and view all the answers

What is the gravitational acceleration constant used in potential energy calculations?

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

In Hooke's Law, what does the variable 'k' represent?

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

Which of these describes frictional force appropriately?

<p>Frictional force opposes the motion of an object. (C)</p> Signup and view all the answers

To calculate the frictional force acting on a 40-kg block on a surface with a coefficient of friction of 0.6, what is the correct formula?

<p>F = 40 × 9.8 × 0.6 (A)</p> Signup and view all the answers

What happens to the elastic potential energy stored in a spring when it is at its equilibrium position?

<p>It is zero. (A)</p> Signup and view all the answers

If an object's mass is doubled while its speed remains constant, how does this affect its kinetic energy?

<p>The kinetic energy doubles. (D)</p> Signup and view all the answers

Which of the following correctly defines tension force?

<p>Force that results from stretching a material. (D)</p> Signup and view all the answers

Flashcards

Meter (m)

A unit of length equal to 100 centimeters. It is widely used across many scientific and engineering applications.

Centimeter (cm)

A unit of length equal to 1000 millimeters. It is commonly used for smaller measurements within the metric system.

Millimeter (mm)

A unit of length equal to 1/100th of a meter.

Micron (μm)

A unit of length equal to 1/1000th of a meter. It is used for extremely small measurements, often in microscopic scales.

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Kilometer (km)

A unit of length equal to 1000 meters. Commonly used to measure distances between cities or larger geographical regions.

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Mile

A unit of length used in many English-speaking countries, approximately equal to 1609 meters.

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Foot (ft)

A unit of length equal to 12 inches. Common for measuring objects or distances in everyday life.

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STP for ventilation

The standard temperature and pressure (STP) used in ventilation is 70 degrees Fahrenheit and 1 atmosphere.

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Pressure Conversion: atm to psi

1 atmosphere (atm) equals 14.7 pounds per square inch (psi).

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Energy Unit: Btu to Joules

1 British Thermal Unit (Btu) is equal to 1055 Joules (J).

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Water Density

The weight density of water is 62.4 pounds per cubic foot (lb/ft³).

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Illuminance: Foot-candle to Lux

1 foot-candle is equivalent to 10.76 lux. Lux is the unit for illuminance, which measures the amount of light falling on a surface.

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Magnetic Field Strength: Tesla to Gauss

1 tesla is equivalent to 10,000 gauss. Tesla and gauss are units for measuring the strength of a magnetic field.

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Mass Conversion: Kilogram to Pound

1 kilogram is equal to 2.2 pounds.

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Mass Conversion: Gram to Milligram

1 gram is equal to 1000 milligrams.

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Volume: Liter to Cubic Centimeter

1 liter is equivalent to 1000 cubic centimeters.

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Force Resolution

A force acting at an angle to a surface can be resolved into two components: one perpendicular to the surface (normal force) and one parallel to the surface (tangential force).

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Work done by a force

The work done by a force is calculated by multiplying the force by the displacement in the direction of the force.

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Standard Deviation

A measure of the average distance of all observations from the mean.

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Median

The central number in a sorted data set. If there are two middle numbers, the median is the average of those two numbers.

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Standard Atmospheric Pressure

The standard atmospheric pressure at sea level. It is equivalent to 760 torr or 101.3 kPa.

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Celsius to Fahrenheit Conversion

Formula for converting Celsius to Fahrenheit.

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Celsius to Kelvin Conversion

Formula for converting Celsius to Kelvin.

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Fahrenheit to Rankine Conversion

Formula for converting Fahrenheit to Rankine.

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Celsius to Rankine Conversion

Formula for converting Celsius to Rankine.

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Newton (N)

The unit of force in the metric system.

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Calorie (cal)

A unit of energy defined as the amount of heat required to raise the temperature of 1 gram of water by 1 degree Celsius.

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British Thermal Unit (BTU)

A unit of energy commonly used in the United States.

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Area of a Rectangle

Formula for the area of a rectangle. Multiply length by width.

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Volume of a Rectangular Solid

Formula for the volume of a rectangular solid. Multiply length, width, and height.

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Kinetic Energy

The energy an object possesses due to its motion.

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Potential Energy

The energy an object possesses due to its position or configuration.

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Elastic Potential Energy

The energy stored in elastic materials when they are stretched or compressed.

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Frictional Force

The force that opposes motion between two surfaces in contact.

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Tension Force

The force applied to an object to pull it, opposite to compression force.

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Spring Force

The force exerted by a compressed or stretched spring.

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Spring Constant (k)

A measure of how much a material resists deformation when a force is applied. It is expressed in N/m.

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Compression (x)

The amount of compression or stretching of a spring from its equilibrium position.

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Coefficient of Friction (μ)

A dimensionless ratio representing the relative roughness of two surfaces in contact.

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Normal Force (N)

The force exerted on a surface by an object in contact with it. Direction is perpendicular to the surface.

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Equilibrium Position

The position of a spring when it is neither compressed nor stretched.

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Hooke's Law

A relationship describing the spring force: the force is proportional to the displacement from equilibrium.

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Gravitational Potential Energy

The energy an object possesses due to its position relative to a gravitational field.

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Gravitational Acceleration (g)

A measure of an object's tendency to resist changes in motion. It is the product of mass and acceleration due to gravity.

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Height (h)

The distance from the surface of the Earth to an object's position.

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Elastic Potential Energy

The energy stored in a spring when it is compressed or stretched.

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Force

The amount of force required to change an object's motion.

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Acceleration

The rate of change of an object's velocity.

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Study Notes

Conversions

  • 1 meter = 100 centimeters
  • 1 meter = 1000 millimeters
  • 1 meter = 1,000,000 microns
  • 1 kilometer = 1000 meters
  • 1 mile = 5280 feet
  • 1 mile = 1609 meters
  • 1 mile/hour = 1.47 feet/second
  • 1 inch = 2.54 centimeters
  • 1 foot = 30.48 centimeters
  • 1 meter = 3.28 feet
  • 1 foot = 12 inches

Length

  • 2.54 cm = 1 inch
  • 25.4 mm = 1 inch
  • 12 inches = 1 foot

Energy

  • 1 calorie = 0.003968 British thermal unit (Btu)
  • 1 calorie = 4.187 joules
  • 1 Btu = 252 calories

Velocity

  • 3 feet = 1 yard
  • 5280 feet = 1 mile
  • 1760 yards = 1 mile
  • 1 ft/s = 0.3048 m/s
  • 1.6 kilometers = 1 mile
  • 1 ft/s = 0.8618 mi/h
  • 0.868 nautical miles = 1 US mile
  • 1 ft/s = 0.5921 knots
  • 0.4470 m/s = 1 mi/h
  • 1.467 ft/s = 1 mi/h
  • 1 knot = 0.5148 m/s
  • 1 knot = 1.151 mi/h
  • 1 knot = 1.689 ft/s

Area

  • 1 sq in = 6.452 sq cm
  • 1 sq in = 6452 sq mm
  • 1 sq ft = 144 sq in
  • 1 sq yd = 9 sq ft
  • 1 sq ft = 0.09290 sq m

Volume

  • 1 cubic centimeter (cm³) = 1 milliliter (mL)
  • 1 cubic inch (in³) = 16.39 cm³
  • 1 cubic foot (ft³) = 1728 in³
  • 1 cubic foot = 0.02832 cubic meters (cu m)
  • 1 liter (L) = 1.057 US quarts
  • 0.9463 L = 1 quart
  • 7.4 US gallons = 1 cubic foot
  • 1 US gallon = 0.8327 imperial gallons

Density

  • 1 lb/cubic ft = 0.01602 cubic cm
  • 1 g/cubic cm = 62.42 lb/cubic ft
  • 1 g/cubic cm = 1000 kg/cubic m
  • 1 kg/cubic m = 0.001 g/cubic 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 = 1 pound (lb)
  • 1 gram = 1000 milligrams (mg)
  • 2.205 lb = 1 kilogram (kg)
  • 1 US ton = 2000 lb
  • 1 metric ton = 1000 kg
  • 1 dram = 1771.85 mg

Other Conversions

  • 1 British thermal unit (Btu) = 1055 joules (J)
  • 1 faraday = 9.65 x 10⁴ coulombs
  • 1 g-calorie = 4.19 J
  • 1 g-mole at 0°C and 1 atm = 22.4 L

Concentration

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

Force, Pressure, or Stress

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

Illumination

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

Length (additional)

  • 1 inch = 25.4 millimeters
  • 1 foot = 0.305 meters
  • 1 yard = 0.914 meters
  • 1 mile = 1.61 kilometers

Area (additional)

  • 1 square inch = 645.2 square millimeters
  • 1 square foot = 0.093 square meters
  • 1 square yard = 0.836 square meters
  • 1 acre = 0.405 hectares
  • 1 square mile = 2.59 square kilometers

Volume (additional)

  • 1 fluid ounce = 29.57 milliliters
  • 1 gallon = 3.785 liters
  • 1 cubic foot = 0.028 cubic meters
  • 1 cubic yard = 0.765 cubic meters

Mass (additional)

  • 1 ounce = 28.35 grams
  • 1 pound = 0.454 kilograms

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