Measurement Conversions Quiz
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Questions and Answers

What is the work done by a force of 140 N acting at an angle of 30° along a displacement of 3 m?

  • 363.7 J (correct)
  • 390.0 J
  • 245.0 J
  • 121.0 J

In terms of central tendency, what is the relationship between mean, median, and mode in a right-skewed distribution?

  • Mean = Median = Mode
  • Mode < Median < Mean (correct)
  • Median < Mean < Mode
  • Mean < Median < Mode

If the mass of an object is 10 kg and the acceleration is acceleration is 2 m/s², what is the force acting on the object?

  • 80 N
  • 20 N (correct)
  • 98 N
  • 10 N

What is the coefficient of friction if the normal force is 400 N and the frictional force is calculated to be 140 N?

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

Given the equation for momentum, ρ = mv, if the mass is doubled and the velocity remains constant, what happens to the momentum?

<p>It doubles. (C)</p> Signup and view all the answers

Which of the following is equivalent to 1 ton (US) in pounds?

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

What is the pressure in psi for 1 bar?

<p>14.5 PSI (C)</p> Signup and view all the answers

How many milliliters are in 1 fluid ounce?

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

What temperature in Celsius is equivalent to 32°F?

<p>0°C (B)</p> Signup and view all the answers

If a concentration is given as 1 ppm, what is this in terms of mass per liter?

<p>1 mg/L (C)</p> Signup and view all the answers

Which of the following is the correct conversion of 1 kg to pounds?

<p>2.2 lb (C)</p> Signup and view all the answers

What is the volume equivalence of 1 m³ in liters?

<p>1000 L (B)</p> Signup and view all the answers

Which of the following expresses the relation between Celsius and Kelvin?

<p>K = °C + 273.15 (C)</p> Signup and view all the answers

What is the equivalent of 1 Btu in joules?

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

What is the equivalent of 3 miles in feet?

<p>15840 feet (A)</p> Signup and view all the answers

If a vehicle travels at 30 miles per hour, what is its speed in feet per second?

<p>44 ft/s (D)</p> Signup and view all the answers

Which of the following is the correct relationship between inches and centimeters?

<p>1 inch = 2.54 cm (B)</p> Signup and view all the answers

What is the volume in cubic meters of 32.5 cubic feet?

<p>0.921 m^3 (B)</p> Signup and view all the answers

How many microns are in 2 meters?

<p>2,000,000 microns (D)</p> Signup and view all the answers

What is the pressure in atmospheres equivalent to 20 psia?

<p>1.45 atm (C)</p> Signup and view all the answers

What is the area in square meters of 100 square feet?

<p>9.2903 m^2 (D)</p> Signup and view all the answers

What is the correct formula to convert Fahrenheit to Celsius?

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

Which unit is equivalent to 1 calorie?

<p>4.186 Joules (D)</p> Signup and view all the answers

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

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

How many newtons are equivalent to 1 kilogram?

<p>9.81 N (D)</p> Signup and view all the answers

What is the area formula for a triangle?

<p>Area = (1/2)bh (B)</p> Signup and view all the answers

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

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

Which formula accurately represents kinetic energy?

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

What unit is equivalent to 1 BTU?

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

What is Avogadro's number?

<p>6.022 x 10^23 (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 of the following correctly defines the units of Kinetic Energy?

<p>Joules (A), kg·m^2/s^2 (D)</p> Signup and view all the answers

What does Hooke's law indicate about a spring at its equilibrium position?

<p>The spring has no stored elastic potential energy. (D)</p> Signup and view all the answers

If a 40-kg block of wood is sitting on a cement floor with a coefficient of friction of 0.6, what is the force of friction acting on the block?

<p>196 N (B)</p> Signup and view all the answers

What is the correct relationship between mass, speed and kinetic energy?

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

Which of the following statements is true about frictional force?

<p>Frictional force depends on the coefficient of friction and normal force. (D)</p> Signup and view all the answers

What unit is used to express the spring constant in the formula for elastic potential energy?

<p>Newtons per meter (B)</p> Signup and view all the answers

What happens to the elastic potential energy of a spring when it is stretched by an amount 'x'?

<p>It increases quadratically with the amount of stretch. (B)</p> Signup and view all the answers

Which variable does NOT affect the gravitational potential energy of an object?

<p>Time in motion (A)</p> Signup and view all the answers

Flashcards

What is a meter?

A unit of length equal to 1000 millimeters, or 100 centimeters

What is a millimeter?

A unit of length equal to one thousandth of a meter (10^-3 meters) or 1000 micrometers. It's also a thousandth of a centimeter.

What is a micron?

A unit of length equal to one millionth of a meter (10^-6 meters), also a thousandth of a millimeter.

What is a kilometer?

A unit of length equal to one thousand meters, commonly used for measuring distances between cities or geographical locations.

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What is a mile?

A unit of length approximately equal to 1.6 kilometers. It's used in most parts of the world, including the United States, for many everyday measurements, especially for distances.

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What is the relationship between 'feet per second' and 'miles per hour' ?

This conversion describes the relationship between feet per second (ft/s) and miles per hour (mi/h). It indicates that one foot per second is equal to about 0.68 miles per hour.

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What is 'psia'?

A unit of pressure, commonly used in the United States. It measures the force per unit area exerted by a substance.

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Standard Atmosphere (atm)

A unit of pressure equal to 101,325 Pascals (Pa) or 14.7 pounds per square inch (psi). It is also equal to the pressure of 760 mm Hg, which is the pressure of the atmosphere at sea level.

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1 bar

A simple unit of pressure conversion that is used to convert between pounds per square inch (psi) and millimeters of mercury (mmHg). It is approximately equal to 14.5 psi.

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Pound-force/square inch (psi)

A unit of pressure that represents the weight of 1 pound per square inch. It is commonly used in the United States.

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1 psig = ADD 14.7 psia

A method to convert between different units of pressure by adding 14.7 psia to a given psig value.

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1 bar = 1.020 kg/cm2

A unit of pressure that is equal to 1,000 kilograms per square centimeter.

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British Thermal Unit (Btu)

A unit of energy equal to 1,055 joules (J). It is commonly used in the United States to measure heat energy.

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Faraday (F)

A unit of electrical charge that is equal to the charge of one mole of electrons.

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Tonne (Metric Ton)

A unit of mass that is equal to 1,000 kilograms.

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Calorie (cal)

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

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Friction force

The force required to move an object over a surface is directly proportional to the normal force pressing the object against the surface and the coefficient of friction between the two surfaces. This means that the rougher the surface, the greater the force needed to move the object.

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Force due to gravity

The force required to move an object against gravity is directly proportional to the mass of the object and the acceleration due to gravity. This means that the heavier the object, the greater the force needed to lift it.

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Work done by a force

The work done by a force is directly proportional to the force applied and the distance the object moves in the direction of the force. This means that the greater the force and the farther the object moves, the more work is done.

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Histogram

A histogram is a graphical representation of data distribution, showing the frequency of occurrences of different data values. It helps visualize the spread and distribution of data points.

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Standard deviation

The standard deviation is a measure of the dispersion or spread of data points around the mean. A higher standard deviation indicates greater variability in the data, while a lower standard deviation suggests that the data points are clustered closer to the mean.

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Kinetic Energy

The energy possessed by an object due to its motion. It depends on the object's mass and velocity.

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Potential Energy

Energy stored in an object due to its position relative to a reference point. It depends on the object's mass, gravitational acceleration, and height.

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Elastic Potential Energy

Energy stored in an object due to its deformation, like stretching or compressing a spring.

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Force

A push or pull that can change an object's motion or shape. It is measured in Newtons (N).

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Tension Force

A force that pulls on an object, often used to describe the force in a stretched rope or string.

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Spring Force

A force exerted by a compressed or stretched spring, proportional to the amount of compression or stretch.

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Coefficient of Friction

A measure of the force required to overcome friction between two surfaces. It is a dimensionless number, usually between 0 and 1.

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Normal Force

The force acting perpendicular to a surface, like the force of gravity acting on an object resting on a table.

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Hooke's Law

A relationship stating that the force exerted by a spring is directly proportional to the amount of stretch or compression. This is expressed as F = kx, where F is force, k is the spring constant, and x is the displacement from equilibrium.

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Atmosphere (atm)

A unit of measurement for pressure. One atmosphere (atm) is equal to the pressure exerted by the weight of the atmosphere at sea level.

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Kelvin (K)

The unit of measurement for temperature in the Kelvin scale. Zero Kelvin (0 K) is absolute zero, the lowest possible temperature.

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Joule (J)

A unit of measurement for energy. One Joule is the amount of energy transferred when a force of one Newton acts over a distance of one meter.

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Density

The measure of the mass per unit volume of a substance. It's expressed in units like kg/m³ or g/cm³.

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Volume of a Rectangular Solid

The formula for calculating the volume of a rectangular solid or cuboid.

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Definition of Force

Force is defined as the interaction that alters the state of rest or motion of an object. It is a vector quantity, having both magnitude and direction.

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Radiation

The process by which energy is transferred through space by electromagnetic waves. It doesn't require a medium to travel.

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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 = 0.868 mi/h
  • 1.6 km = 1 mile
  • 1 ft/s = 0.5921 knots
  • 1 m/s = 3.281 ft/s
  • 1 mi/h = 0.4470 m/s
  • 1 mi/h = 1.467 ft/s
  • 1 knot = 0.5148 m/s
  • 1 knot = 1.151 mi/h

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

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
  • 7.4 US gallon = 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 = 0.001 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=105N/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
  • 2.2 lb = 1 kg
  • 1 ton (US) = 2000 lb
  • 1 tonne (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, Pressure, or Stress

  • 1 lbf = 4.45 N
  • 1 lbf/in² = 6.89 kPa

Illumination

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

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Description

Test your knowledge of various measurement conversions including length, area, volume, energy, and velocity. This quiz covers essential conversion factors for both metric and imperial systems. Enhance your understanding of how different units relate to each other.

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