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Unit Conversion
What is Unit Conversion? Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
0/5
Introduction to Unit Conversion
00:00
Conversion of Units
38:41
Area Conversion
05:28
Volume Conversion
05:21
Measurement and Unit Conversion
25:00
Unit Conversion in Stochiometry
0/2
Stoichiometry Basic Introduction, Mole to Mole, Grams to Grams, Mole Ratio Practice Problems
25:15
Solution Stoichiometry – Finding Molarity, Mass & Volume
23:10
Unit Conversion
About Lesson

Unit Conversion

  • Length:

    • 1 m = 100 cm

    • 1 km = 1,000 m

    • 1 in (inch) = 2.54 cm

    • 1 m = 39.37 in

    • 1 mile = 5,280 ft = 1.609 km

    • 1 angstrom = 10–10 m

    • 1 ft = 12 in

    • 3ft = 1 yard

  • Area Unit Conversions

    1 sq. inch 6.4516×10-4 sq. meters
    1 sq. foot 9.2903×10-2 sq. meters
    1 acre 4.0468×103 sq. meters
    1 hectare 1×104 sq. meters
    1 sq. mile 2.5888×106 sq. meters
    1 barn 1×10-28 square meters

  • Volume:

    • 1 l (liter) = 1000 ml

    • 1ml (milliliter) = 1 cm3

    • 1m3 = 1000l

    • 1 gallon = 3.785l

    • 1 quart = 2 pints

  • Mass:

    • 1 kg = 1,000 g = 2.21 pounds

    • 1 slug = 14.59 kg

    • 1 u (atomic mass unit) = 1.6605 x 10–27 kg

  • Force:

    • 1 lb (pound) = 4.448 N = 160 ounces

    • 1 ton = 2000 pounds

    • 1 metric ton = 1000kg = 2204 pounds

    • 1 N = 105 dynes

    • 1 N = 0.2248 lb

  • Energy:

    • 1 J = 107 ergs

    • 1 J = 0.7376 ft-lb

    • 1 BTU (British thermal unit) = 1,055 J

    • 1 kWh (kilowatt hour) = 3.600 x 106 J

    • 1 eV (electron volt) = 1.602 x 10–19 J

  • Power:

    • 1 hp (horsepower) = 550 ft-lb/s

    • 1 W (watt) = 0.7376 ft-lb/s

  • Other Unit Conversions
    • Yotta = 1024                                
    • Zetta = 1021
    • Exa = 1018
    • Peta = 1015
    • Tera = 1012
    • Giga = 109
    • Mega = 106
    • Kilo = 103
    • Hecto = 102
    • Deca = 101
    •  
    •  
    • Yecto = 10-24                                
    • Zepto = 10-21
    • Atto = 10-18
    • Fecto = 10-15
    • Pico = 10-12
    • Nano = 10-9
    • Micro = 10-6
    • Milli = 10-3
    • Centi = 10-2
    • Deci = 10-1 

Because conversions are such an important part of physics problems, and because you have to keep track of them so carefully, there’s a systematic way of handling conversions: You multiply by a conversion constant that equals 1, such that the units you don’t want cancel out.

Sample question

  1. A ball drops 5 meters. How many centimeters did it drop?

    The correct answer is 500 centimeters. To perform the conversion, you do the following calculation:

Note that 100 centimeters divided by 1 meter equals 1 because there are 100 centimeters in a meter. In the calculation, the units you don’t want — meters — cancel out.

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