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 (in radians per second), is greater than rotational frequency ν (in Hz), by a factor of 2π.
Other names	angular speed, angular rate
Common symbols	ω
SI unit	radians 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.