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Derived units
Units that can be expressed in terms of fundamental units are called derived units. Area, volume, density etc. are examples for derived units. Base units can be combined to derive units of measurement for other quantities. In addition to the two dimensionless derived units radian (rad) and steradian (sr), 20 other derived units have special names.
The names of SI units are always written in lowercase. The unit symbols of units named after persons, however, are always spelled with an initial capital letter (e.g., the symbol of hertz is Hz; but metre becomes m). The exception is the Celsius, which refers to divisions on the Celsius temperature scale.
Named units derived from SI base units
| Name | Symbol | Quantity | Expression in terms of other units | Expression in terms of SI base units |
|---|---|---|---|---|
| hertz | Hz | frequency | 1/s | s-1 |
| radian | rad | angle | m.m-1 | Dimensionless |
| steradian | sr | solid angle | m2.m-2 | Dimensionless |
| newton | N | force, weight | kg.m/s2 | kg.m.s.2 |
| pascal | Pa | pressure, stress | N/m2 | m-1.kg.s-2 |
| joule | J | energy, work, heat | N*m = C*V = W*s | m2*kg*s-2 |
| watt | W | power, radiant flux | J/s = V*A | m2*kg*s-3 |
| coulomb | C | electric charge or electric flux | s*A | s*A |
| volt | V | voltage, electrical potential difference, electromotive force | W/A = J/C | m2*kg*s-3*A-1 |
| farad | F | electric capacitance | C/V | m-2*kg-1*s4*A2 |
| ohm | O | electric resistance, impedance, reactance | V/A | m2*kg*s-3*A-2 |
| siemens | S | electrical conductance | 1/O | m-2*kg-1*s3*A2 |
| weber | Wb | magnetic flux | J/A | m2*kg*s-2*A-1 |
| tesla | T | magnetic field strength, magnetic flux density | V*s/m2 = Wb/m2 = N/(A*m) | kg*s-2*A-1 |
| henry | H | inductance | V*s/A = Wb/A | m2*kg*s-2*A-2 |
| Celsius | C | temperature | K - 273.15 | K - 273.15 |
| lumen | lm | luminous flux | lx*m2 | cd*sr |
| lux | lx | illuminance | lm/m2 | m-2*cd*sr |
| becquerel | Bq | radioactivity (decays per unit time) | 1/s | s-1 |
| gray | Gy | absorbed dose (of ionizing radiation) | J/kg | m2*s-2 |
| sievert | Sv | equivalent dose (of ionizing radiation) | J/kg | m2*s-2 |
| katal | kat | catalytic activity | mol/s | s-1*mol |
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