LIST OF PHYSICAL QUANTITIES

The primary dimensions of physical quantities are arbitrary and depend on the choice of units. I is usually based on the base units of the International System of Units.
Other dimensions, such as force rather than mass, or charge [Q] rather than current [I], could be used. Even the number of dimensions is not fixed. In the three-base unit cgs system, for example, the units of charge are erg½ cm½ and the dimensional analysis of this quantity in terms of base units is [M]½ [L] [T]-1, whereas in the analysis below charge has units of [I][T].
Also note that the symbols are not International Standards and may be used differently than shown here.
Base quantity Symbol Description Dimension and units (SI) Comments
Length''l''The one dimensional extent of an object.metre (m)
Mass''m''The amount of matter in an object.kilogram (kg)extensive
Time''t''The duration of an event.second (s)
Current''I''Rate of flow of electrical charge.ampere (A)
Temperature''T''Average kinetic energy of particles in an object.kelvin (K)intensive
Number of particles''n''Number of particles compared to the number of atoms in 0.012 kg of 12C. mole (mol)extensive
Luminous intensity''L''Amount of energy emitted by a light source in a particular direction. candela (cd)
Derived quantity Symbol Description Dimensions and units (SI) Comments
Acceleration'''a'''Rate of change of the speed or velocity of an object.m s-2 (metre per second squared)scalar or vector
Angle''θ''Measure of a change in direction.radian (rad)
Angular acceleration''α''Rate of change in angular speed or velocitys-2radian per second squared
Angular speed (or angular velocity)''ω'' or '''ω'''The angle incremented in a plane by a segment connecting an object and a reference point.s-1radian per second
Angular momentum'''L'''Measure of the extent and direction and object rotates about a reference point.kg m2 s-1conserved quantity
Area''A''The two dimensional extent of an object.m2 (square metre)
Area density''ρA''The amount of mass per unit area of a two dimensional object.kg m-2 (kilogram per square meter)
Density (volume density)''ρ''The amount of mass per unit volume of a three dimensional objectkg m-3 (kilogram per cubic metre)intensive
Electric Charge''Q''A s (coulomb)extensive, conserved quantity
Electric Resistance''R''the degree to which an object opposes the passage of an electric currentm2·kg·s–3·A–2 (ohm)scalar
Energy''E''The capacity of a body or system to do work.kg m2 s-2 (joule)extensive, scalar, conserved quantity
Force''F''The external cause of acceleration, acting on an object.kg m s-2 (newton)vector
Frequency''f''The number of times something happens in a period of time.s-1 (hertz)
Linear density''ρl''Amount of mass per unit length of a one dimensional object.kg m-1 (kilogram per meter)
Magnetic flux''Φ''Measure of quantity of magnetism, taking account of the strength and the extent of a magnetic field.kg s-2 A-1 (weber)
Momentum''p''Product of an object's mass and velocity.kg m s-1 (kilogram meter per second)extensive
Power''P''The rate of change in energy over time.kg m2 s-3 (watt)
Pressure''p''Amount of force per unit area.kg m-1 s-2 (pascal)intensive
Solid angle'Ω'steradian (sr)
Speed''v''Rate of change of the position of an object.m s-1 (metre per second)scalar
Torque (moment of force)''T''Product of a force and the perpendicular distance of the force from the point about which it is exerted.kg m2 s-2 (newton metre)vector
Velocity'''v'''Speed of an object in a chosen direction.m s-1vector
Voltage (Electric Potential)''V'' or ''ε''Potential difference across a conductor when a current of one ampere dissipates one watt of power.m2 kg s–3 A–1scalar
Volume''V''The three dimensional extent of an object.m3 (cubic metre)extensive
Work''W''Energy dissipated by a force moving over a distance, scalar product of the force and the movement vector.kg m2 s-2 (joule)scalar


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