Conversion Factors
| m | cm | km | |
|---|---|---|---|
| 1 meter | 1 | 102 | 10−3 |
| 1 centimeter | 10−2 | 1 | 10−5 |
| 1 kilometer | 103 | 105 | 1 |
| 1 inch | [latex]2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | 2.540 | [latex]2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] |
| 1 foot | 0.3048 | 30.48 | [latex]3.048\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 mile | 1609 | [latex]1.609\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | 1.609 |
| 1 angstrom | 10−10 | ||
| 1 fermi | 10−15 | ||
| 1 light-year | [latex]9.460\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{12}[/latex] | ||
| in. | ft | mi | |
| 1 meter | 39.37 | 3.281 | [latex]6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 centimeter | 0.3937 | [latex]3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}[/latex] |
| 1 kilometer | [latex]3.937\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | [latex]3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}[/latex] | 0.6214 |
| 1 inch | 1 | [latex]8.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]1.578\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] |
| 1 foot | 12 | 1 | [latex]1.894\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 mile | [latex]6.336\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | 5280 | 1 |
Area
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=0.155\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}={10}^{4}\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=10.76\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=6.452\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}=144\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=0.0929\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}[/latex]
Volume
[latex]1\phantom{\rule{0.2em}{0ex}}\text{liter}=1000\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{3}={10}^{-3}\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=0.03531\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=61.02\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{3}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=0.02832\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=28.32\phantom{\rule{0.2em}{0ex}}\text{liters}=7.477\phantom{\rule{0.2em}{0ex}}\text{gallons}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{gallon}=3.788\phantom{\rule{0.2em}{0ex}}\text{liters}[/latex]
| s | min | h | day | yr | |
|---|---|---|---|---|---|
| 1 second | 1 | [latex]1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]2.778\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] | [latex]1.157\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] | [latex]3.169\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}[/latex] |
| 1 minute | 60 | 1 | [latex]1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]6.944\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] | [latex]1.901\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}[/latex] |
| 1 hour | 3600 | 60 | 1 | [latex]4.167\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]1.141\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 day | [latex]8.640\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | 1440 | 24 | 1 | [latex]2.738\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}[/latex] |
| 1 year | [latex]3.156\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}[/latex] | [latex]5.259\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}[/latex] | [latex]8.766\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}[/latex] | 365.25 | 1 |
| m/s | cm/s | ft/s | mi/h | |
|---|---|---|---|---|
| 1 meter/second | 1 | 102 | 3.281 | 2.237 |
| 1 centimeter/second | 10−2 | 1 | [latex]3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]2.237\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] |
| 1 foot/second | 0.3048 | 30.48 | 1 | 0.6818 |
| 1 mile/hour | 0.4470 | 44.70 | 1.467 | 1 |
Acceleration
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=100\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=3.281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=0.01\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=0.03281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}=0.3048\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=30.48\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{mi/h}·\text{s}=1.467\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}[/latex]
| kg | g | slug | u | |
|---|---|---|---|---|
| 1 kilogram | 1 | 103 | [latex]6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | [latex]6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{26}[/latex] |
| 1 gram | 10−3 | 1 | [latex]6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] | [latex]6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{23}[/latex] |
| 1 slug | 14.59 | [latex]1.459\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | 1 | [latex]8.789\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{27}[/latex] |
| 1 atomic mass unit | [latex]1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-27}[/latex] | [latex]1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-24}[/latex] | [latex]1.138\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-28}[/latex] | 1 |
| 1 metric ton | 1000 |
| N | dyne | lb | |
|---|---|---|---|
| [latex]1[/latex] newton | 1 | 105 | 0.2248 |
| [latex]1[/latex] dyne | 10−5 | 1 | [latex]2.248\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}[/latex] |
| [latex]1[/latex] pound | 4.448 | [latex]4.448\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}[/latex] | 1 |
| Pa | dyne/cm2 | atm | cmHg | lb/in.2 | |
|---|---|---|---|---|---|
| *Where the acceleration due to gravity is [latex]9.80665\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}[/latex] and the temperature is [latex]0\text{°}\text{C}[/latex] | |||||
| 1 pascal | 1 | 10 | [latex]9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}[/latex] | [latex]7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] | [latex]1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 dyne/centimeter2 | 10−1 | 1 | [latex]9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-7}[/latex] | [latex]7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] | [latex]1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}[/latex] |
| 1 atmosphere | [latex]1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}[/latex] | [latex]1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6}[/latex] | 1 | 76 | 14.70 |
| 1 centimeter mercury* | [latex]1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}[/latex] | [latex]1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | [latex]1.316\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | 1 | 0.1934 |
| 1 pound/inch2 | [latex]6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}[/latex] | [latex]6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}[/latex] | [latex]6.805\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}[/latex] | 5.171 | 1 |
| 1 bar | 105 | ||||
| 1 torr | 1 (mmHg) | ||||
| J | erg | ft.lb | |
|---|---|---|---|
| 1 joule | 1 | 107 | 0.7376 |
| 1 erg | 10−7 | 1 | [latex]7.376\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}[/latex] |
| 1 foot-pound | 1.356 | [latex]1.356\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}[/latex] | 1 |
| 1 electron-volt | [latex]1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19}[/latex] | [latex]1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{\text{-12}}[/latex] | [latex]1.182\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19}[/latex] |
| 1 calorie | 4.186 | [latex]4.186\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}[/latex] | 3.088 |
| 1 British thermal unit | [latex]1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}[/latex] | [latex]1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{10}[/latex] | [latex]7.779\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2}[/latex] |
| 1 kilowatt-hour | [latex]3.600\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6}[/latex] | ||
| eV | cal | Btu | |
| 1 joule | [latex]6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18}[/latex] | 0.2389 | [latex]9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}[/latex] |
| 1 erg | [latex]6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{11}[/latex] | [latex]2.389\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}[/latex] | [latex]9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-11}[/latex] |
| 1 foot-pound | [latex]8.464\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18}[/latex] | 0.3239 | [latex]1.285\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}[/latex] |
| 1 electron-volt | 1 | [latex]3.827\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-20}[/latex] | [latex]1.519\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-22}[/latex] |
| 1 calorie | [latex]2.613\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{19}[/latex] | 1 | [latex]3.968\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}[/latex] |
| 1 British thermal unit | [latex]6.585\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{21}[/latex] | [latex]2.520\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2}[/latex] | 1 |
Power
[latex]1\phantom{\rule{0.2em}{0ex}}\text{W}=1\phantom{\rule{0.2em}{0ex}}\text{J/s}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{hp}=746\phantom{\rule{0.2em}{0ex}}\text{W}=550\phantom{\rule{0.2em}{0ex}}\text{ft}·\text{lb/s}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{Btu/h}=0.293\phantom{\rule{0.2em}{0ex}}\text{W}[/latex]
Angle
[latex]1\phantom{\rule{0.2em}{0ex}}\text{rad}=57.30\text{°}=180\text{°}\text{/}\text{π}[/latex]
[latex]1\text{°}=0.01745\phantom{\rule{0.2em}{0ex}}\text{rad}=\text{π}\text{/}180\phantom{\rule{0.2em}{0ex}}\text{rad}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{revolution}=360\text{°}=2\text{π}\phantom{\rule{0.2em}{0ex}}\text{rad}[/latex]
[latex]1\phantom{\rule{0.2em}{0ex}}\text{rev/min}\left(\text{rpm}\right)=0.1047\phantom{\rule{0.2em}{0ex}}\text{rad/s}[/latex]
Licenses and Attributions
Appendix B Conversion Factors. Authored by: OpenStax College. Located at: https://openstax.org/books/university-physics-volume-2/pages/b-conversion-factors. License: CC BY: Attribution. License Terms: Download for free at https://openstax.org/books/university-physics-volume-2/pages/1-introduction
