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 Long 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
LT−2
Metre/second2
Angle
Radian
Angular acceleration
T−2
Radian/second2
Angular momentum
ML2T−1
Kilogram-metre2/second
Angular velocity
T−1
Radian/second
Area
L2
Metre2
Energy
ML2T−2
Joule
Force
MLT−2
Newton
Frequency
T−1
Cycle/second (Hertz)
Gravitational field strength
LT−2
Newton/kilogram
Mass density
ML−3
Kilogram/metre2
Momentum
MLT−1
Kilogram-metre/second
Power
ML2T−3
Watt
Pressure
ML−1$T^{-2}$
Newton/metre2
Torque
ML2T−2
Newton/metre
Velocity
LT−1
Metre/second
Work
ML2T−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
- International Society of Automation Conversion Tables - an extended version of the above tables
- JPL Conversion Tables - an even more extended version from the Jet Propulsion Labs at Caltech
- Understanding Conversion Factors - video describing the concepts
- Converting Units with Conversion Factors - video giving practical examples of simple conversions
- Converting Units with Multiple Conversion Factors - similar to above with more complicated example
- Multiple Conversions Part 2 - continuation of the above video
- Converting Units in the Metric System - video from Khan Academy
- Relationships of SI Derived Units - a diagram showing relationships between most SI units.