Angular frequency

In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves). Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity.

Angular frequency
Angular speed ω, is greater than rotational frequency ν, by a factor of 2π.
Other names	angular speed, angular rate
Common symbols	ω
SI unit	radian per second (rad/s)
Other units	degrees per second (°/s)
In SI base units	s−1
Derivations from other quantities	ω=2π rad ⋅ ν, ω=dθ/dt
Dimension	${\displaystyle {\mathsf {T}}^{-1}}$

Angular frequency can be obtained multiplying rotational frequency, ν (or ordinary frequency, f) by a full turn (2π radians): ω = 2π rad⋅ν. It can also be formulated as ω = dθ/dt, the instantaneous rate of change of the angular displacement, θ, with respect to time, t.