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SI derived unit

SI derived units are part of the SI system of measurement units and are derived from the seven base unit">SI base units.

Physical quantity Name of SI unit Symbol for SI unit Expression in terms of base unit">SI base units
Special names and Symbols
frequency hertz Hz <math>\mbox{s}^{-1}</math>  
force newton N <math>\mbox{kg} \cdot \mbox{m} \cdot \mbox{s}^{-2}</math>  
pressure, stress pascal Pa <math>\mbox{N} \cdot \mbox{m}^{-2}</math> <math>= \mbox{kg} \cdot \mbox{m}^{-1} \cdot \mbox{s}^{-2}</math>
energy, work, heat joule J <math>\mbox{N} \cdot \mbox{m}</math> <math>= \mbox{kg} \cdot \mbox{m}^2 \cdot \mbox{s}^{-2}</math>
power, radiant flux[?] watt W <math>\mbox{J} \cdot \mbox{s}^{-1}</math> <math>= \mbox{kg} \cdot \mbox{m}^2 \cdot \mbox{s}^{-3}</math>
electric charge coulomb C <math>\mbox{A} \cdot \mbox{s}</math>  
electric potential, electromotive force volt V <math>\mbox{J} \cdot \mbox{C}^{-1}</math> <math>= \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-3} \cdot \mbox{A}^{-1}</math>
electrical resistance ohm Ω <math>\mbox{V} \cdot \mbox{A}^{-1}</math> <math>= \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-3} \cdot \mbox{A}^{-2}</math>
electric conductance siemens S <math>\mbox{A} \cdot \mbox{V}^{-1}</math> <math>= \mbox{s}^3 \cdot \mbox{A}^2 \cdot \mbox{m}^{-2} \cdot \mbox{kg}^{-1}</math>
electric capacitance farad F <math>\mbox{C} \mbox{V}^{-1}</math> <math>= \mbox{s}^4 \cdot \mbox{A}^2 \cdot \mbox{m}^{-2} \cdot \mbox{kg}^{-1}</math>
magnetic flux density, magnetic inductivity[?] tesla T <math>\mbox{V} \cdot \mbox{s} \cdot \mbox{m}^{-2}</math> <math>= \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-1}</math>
magnetic flux weber Wb <math>\mbox{V}\cdot\mbox{s}</math> <math>= \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-1}</math>
inductance henry H <math>\mbox{V} \mbox{s} \cdot \mbox{A}^{-1}</math> <math>= \mbox{m}^2 \cdot \mbox{kg} \cdot \mbox{s}^{-2} \cdot \mbox{A}^{-2}</math>
temperature degree Celsius °C K  
plane angle radian rad 1 = m·m-1
solid angle steradian sr 1 = m2·m-2
luminous flux[?] lumen lm cd·sr  
illuminance[?] lux lx cd·sr·m-2  
activity (radioactive) becquerel Bq s-1  
absorbed dose (of radiation) gray Gy J·kg-1 = m2·s-2
dose equivalent (dose equivalent index) sievert Sv J·kg-1 = m2·s-2
catalytic activity katal kat mol·s-1  
Other Quantities
area     m2  
volume     m3  
speed, velocity     m·s-1  
angular velocity     s-1, rad·s-1  
acceleration     m·s-2  
moment of force     N·m = m2·kg·s-2
wavenumber     m-1  
density, mass density     kg·m-3  
specific volume     m3·kg-1  
amount (-of-substance) concentration     mol·m-3  
molar volume     m3·mol-1  
heat capacity, entropy     J·K-1 = m2·kg·s-2·K-1
molar heat capacity, molar entropy     J·K-1·mol-1 = m2·kg·s-2·K-1·mol-1
specific heat capacity, specific entropy     J·K-1·kg-1 = m2·s-2·K-1
molar energy     J·mol-1 = m2·kg·s-2·mol-1
specific energy     J·kg-1 = m2·s-2
energy density     J·m-3 = m-1·kg·s-2
surface tension     N·m-1=J·m-2 = kg·s-2
heat flux density, irradiance     W·m-2 = kg·s-3
thermal conductivity     W·m-1·K-1 = m·kg·s-3·K-1
kinematic viscosity, diffusion coefficient     m2·s-1  
dynamic viscosity     N·s·m-2 = Pa·s = m-1·kg·s-1
electric charge density     C·m-3 m-3·s·A
electric current density     A·m-2  
conductivity     S·m-1 = m-3·kg-1·s3·A 2
molar conductivity     S·m2·mol-1 = kg-1·mol-1·s3·A 2
permittivity     F·m-1 = m-3·kg-1·s4·A 2;
permeability     H·m-1 = m·kg·s-2·A-2
electric field strength     V·m-1 = m·kg·s-3·A-1
magnetic field strength     A·m-1  
luminance     cd·m-2  
exposure (X and gamma rays)     C·kg-1 = kg-1·s·A
absorbed dose rate     Gy·s-1 = m2·s-3

References:

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