# Angular Frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, and radian frequency) is a scalar measure of rotation rate. Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity angular velocity.

One revolution is equal to 2π radians, hence

where

ω is the angular frequency or angular speed (measured in radians per second),
T is the period (measured in seconds),
f is the ordinary frequency (measured in hertz) (sometimes symbolised with ν),
v is the tangential speed of a point about the axis of rotation (measured in meters per second),
r is the radius of rotation (measured in meters).

### Other articles related to "angular frequency, frequency":

Planck Angular Frequency
... The Planck angular frequency is the unit of angular frequency, denoted by ωP, in the system of natural units known as Planck units ...
Airy Wave Theory - Mathematical Formulation of The Wave Motion - Table of Wave Quantities
... At an Earth-fixed location, the observed angular frequency (or absolute angular frequency) is ω ... the mean velocity U (so the mean velocity as observed from this reference frame is zero), the angular frequency is different ... It is called the intrinsic angular frequency (or relative angular frequency), denoted as σ ...
Angular Frequency - Units - LC Circuits
... The resonant angular frequency in an LC circuit equals the square root of the inverse of capacitance (C measured in farads), times the inductance of the circuit (L in henrys) ...
Nonlinear Optics - Parametric Processes - Phase Matching
... of light and the index of refraction of the medium at angular frequency ... Thus, the second-order polarization at angular frequency is At each position within the nonlinear medium, the oscillating second-order polarization radiates at ... However, other conventions exist that specify further which frequency has what polarization relative to the crystal axis ...
Fourier Transform - Other Conventions
... The Fourier transform can also be written in terms of angular frequency ω = 2πξ whose units are radians per second ... popular forms of the Fourier transform ordinary frequency ξ (hertz) unitary angular frequency ω (rad/s) non-unitary unitary As discussed above ... As in the case of the "non-unitary angular frequency" convention above, there is no factor of 2π appearing in either of the integral, or in the exponential ...

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