Units and Dimensions play very important role in calculation, especially in Maths and Science. Here are some quick references to the units and dimensions
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Systems of Units
- FPS (foot, Pound, Second)
- CGS (Centimetre, gram, second)
- MKS (metre, kilogram, second)
- SI (International system of unit)
Symbol
| Base quantity | Dimensional symbol |
| Length | L |
| Mass | M |
| Time | T |
| Electric current | I or A |
| Temperature | or K |
| Luminous Intensity | Φ |
| Amount of substance | mol |
SI Units
| Quantity | Name of the unit | Symbol |
| Length | Metre | m |
| Mass | Kilogram | Kg |
| Time | Second | s |
| Electric current | Ampere | A |
| Temperature | Kelvin | K |
| Amount of substance | Mole | mol |
| Luminous intensity | Candela | cd |
| Plane angle | Radian | rad |
| Solid angle | Steradian | Sr |
Multiplication Factors of units
| Multiplication factor | Name | Symbol |
| 10 | Deca | da |
| 10 2 | hecta | h |
| 10 3 | Kilo | K |
| 10 6 | Mega | M |
| 10 9 | Giga | G |
| 10 12 | Tera | T |
| 10 15 | Peta | P |
| 10 18 | Exa | E |
Sub Multiplication Factors Of Units:
| Multiplication factor | Name | Symbol |
| 10 -1 | Deci | d |
| 10 -2 | centi | c |
| 10 -3 | milli | m |
| 10 -6 | Micro | μ |
| 10 -9 | nano | n |
| 10 -12 | Pico | P |
| 10 -15 | femto | f |
| 10 -18 | atto | a |
Dimensional Equation Of Units
| Physical quantity | Unit | Dimensional formula |
| Distance | m | M0L1T0 |
| Displacement | m | M0L1T0 |
| Speed | ms-1 | M0L1T-1 |
| Velocity | ms-1 | M0L1T-1 |
| Acceleration | ms-2 | M0L1T-2 |
| Momentum | kgms-1 | M1L1T-1 |
| Impulse | kgms-1 | M1L1T-1 |
| Force | kgms-2 | M1L1T-2 |
| Work | kgm2s-2 | M1L2T-2 |
| Energy | kgm2s-2 | M1L2T-2 |
| Area | m2 | M0L2T0 |
| Volume | m3 | M0L3T0 |
| Density | kgm-3 | M1L-3T0 |
| Pressure | kgm-1s-2 | M1L-1T-2 |