Measurement and SI Unit

Measurement & SI Units of Physical Base Quantities:

Base quantity Symbol SI units Symbol/ dimension
Length l metre (m) L
Mass m kilogram (kg) M
Time t second (s) T
Electric current I ampere (A) I
Temperature T kelvin (K) Θ
Amount of substance n mole (mol) N
Luminous intensity L candela (cd) J


Measurement & SI Units of Physical Derived Quantities:

Derived quantity Symbol SI units Dimension
Plane angle θ radian (rad) 1
Solid angle Ω steradian (sr) 1
Absorbed dose rate   Gy s−1 L2 T−3
Acceleration a→ m s−2 L T−2
Angular acceleration α rad s−2 T−2
Angular speed (orangular velocity) ω rad s−1 T−1
Angular momentum L kg m2 s−1 M L2 T−1
Area A m2 L2
Area density ρA kg m−2 M L−2
Capacitance C farad (F = A2 s4 kg−1m−2) I2 T4 M−1 L−2
Catalytic activity   katal (kat = mol s−1) N T−1
Catalytic activity concentration   kat m−3 N L−3 T−1
Chemical potential μ J mol−1 M L2 T−2 N−1
Molar concentration C mol m−3 N L−3
Crackle c→ m s-5 L T-5
Current density J → A m−2 I L−2
Dose equivalent H sievert (Sv = m2 s−2) L2 T−2
Dynamic Viscosity η Pa s M L−1 T−1
Electric Charge Q coulomb (C = A s) I T
Electric charge density ρQ C m−3 I T L−3
Electric displacement D C m−2 I T L−2
Electric field strength E→ V m−1 M L T−3 I−1
Electrical conductance G siemens (S = A2 s3 kg−1 m−2) L−2 M−1 T3 I2
Electric potential V volt (V = kg m2 A−1 s−3) L2 M T−3 I−1
Electrical resistance R ohm (Ω = kg m2 A−2 s−3) L2 M T−3 I−2
Energy E joule (J = kg m2 s−2) M L2 T−2
Energy density ρE J m−3 M L−1 T−2
Entropy S J K−1 M L2 T−2 Θ−1
Force F→ newton (N = kg m s−2) M L T−2
Fuel efficiency mpg fuel efficiency (mpg = m m−3 M M−3
Impulse p→ kg m s−1 M L T−1
Frequency f hertz (Hz =s−1) T−1
Half-life t1/2 s T
Heat Q J M L2 T−2
Heat capacity Cp J K−1 M L2 T−2 Θ−1
Heat flux density ϕQ W m−2 M T−3
Illuminance Ev lux (lx = cd sr m−2) J L−2
Impedance Z ohm (Ω = kg m2 A−2 s−3) L2 M T−3 I−2
Index of refraction n   1
Inductance L henry (H = kg m2 A−2s−2) M L2 T−2 I−2
Irradiance E W m−2 M T−2
Intensity I W m−2 M T−2#
Jerk j→ m s-3 L T-3
Jounce s→ m s-4 L T-4
Linear density ρl   M L−1
Luminous flux (orluminous power) F lumen (lm = cd sr) J
Mach Number (ormach) M Unitless (M = u/c) 1
Magnetic field strength H A m−1 I L−1
Magnetic flux Φ weber (Wb = kg m2 A−1 s−2) M L2 T−2 I−1
Magnetic flux density B tesla (T = kg A−1 s−2) M T−2 I−1
Magnetization M A m−1 I L−1
Mass fraction x kg/kg 1
(Mass) Density(volume density) ρ kg m−3 M L−3
Mean lifetime τ s T
Molar energy   J mol−1 M L2 T−2 N−1
Molar entropy   J K−1 mol−1 M L2 T−2 Θ−1 N−1
Molar heat capacity c J K−1 mol−1 M L2 T−2 N−1
Moment of inertia I kg m2 M L2
Momentum p→ N s M L T−1
Permeability μ H m−1 M L T−2 I−2
Permittivity ε F m−1 I2 M−1 L−3 T4
Power P watt (W) M L2 T−3
Pressure p pascal (Pa = kg m−1 s−2) M L−1 T−2
Pop p→ m s-6 L T-6
(Radioactive) Activity A becquerel (Bq = s−1) T−1
(Radioactive) Dose D gray (unit) (Gy = m2 s−2) L2 T−2
Radiance L W m−2 sr−1 M T−3
Radiant intensity I W sr−1 M L2 T−3
Reaction rate r mol m−3 s−1 N L−3 T−1
Speed v m s−1 L T−1
Specific energy   J kg−1 L2 T−2
Specific heat capacity c J kg−1 K−1 L2 T−2 Θ−1
Specific volume v m3 kg−1 L3 M−1
Spin S kg m2 s−1
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