Units and Conversions
The following tables of units and conversions are useful for reference. A PDF file of this information can be downloaded here.
1.1 Commonly used mechanical units
| Heading 1 | Heading 2 | Heading 3 | Heading 4 |
| Cell 1 | Cell 2 | Cell 3 | Cell 4 |
| Long Cell Long Cell Long Cell Long Cell Long Cell Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell Long Cell 5 | Cell 6 |
Cell 7 |
Cell 8 |
| Cell 9 | Cell 10 | Cell 11 | Cell 12 |
1.2 Mechanical quantities, fundamental units of dimensions MLT (mass, length, time) and their SI units
Quantity
Dimensions
Units
Acceleration
³¢°Õ−2
Metre/second2
Angle
Radian
Angular acceleration
°Õ−2
Radian/second2
Angular momentum
²Ñ³¢2°Õ−1
Kilogram-metre2/second
Angular velocity
°Õ−1
Radian/second
Area
L2
Metre2
Energy
ML2°Õ−2
Joule
Force
M³¢°Õ−2
Newton
Frequency
°Õ−1
Cycle/second (Hertz)
Gravitational field strength
³¢°Õ−2
Newton/kilogram
Mass density
²Ñ³¢âˆ’3
Kilogram/metre2
Momentum
ML°Õ−1
Kilogram-metre/second
Power
²Ñ³¢2°Õ−3
Watt
Pressure
²Ñ³¢âˆ’1$°Õ°÷µ÷-2°¨$
Newton/metre2
Torque
ML2°Õ−2
Newton/metre
Velocity
L°Õ−1
Metre/second
Work
ML2°Õ−2
Joule
1.3 Multiples and sub-multiples of SI units
| Prefix | Symbol | Equivalent |
| exa | E | 1018 |
| peta | P | 1015 |
| tera | T | 1012 |
| giga | G | 109 |
| mega | M | 106 |
| kilo | k | 103 |
| hecto | h | 102 |
| deca | da | 10 |
| deci | d | 10−1 |
| centi | c | 10−2 |
| milli | m | 10−3 |
| micro | μ | 10−6 |
| nano | n | 10−9 |
| pico | p | 10−12 |
| femto | f | 10−15 |
| atto | a | 10−18 |
Additional Resources
- - an extended version of the above tables
- - an even more extended version from the Jet Propulsion Labs at Caltech
- - video describing the concepts
- - video giving practical examples of simple conversions
- - similar to above with more complicated example
- - continuation of the above video
- - video from Khan Academy
- - a diagram showing relationships between most SI units.