Angular frequency
In physics (specifically mechanics and electrical engineering), angular frequency ω (also called angular speed) is a scalar measure of rotation rate. Angular frequency 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 . In SI units, angular frequency is measured in radians per second, with dimensions T−1 since radians are dimensionless. 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 frequency (measured in hertz),
:v is the tangential velocity of a point about the axis of rotation (measured in metres per second), and
:r is the radius of rotation (measured in metres). Angular frequency is therefore a simple multiple of ordinary frequency. However, using angular frequency is often preferable in many applications, as it avoids the excessive appearance of . In fact, it is used in many fields of physics involving periodic phenomena, such as quantum mechanics and electrodynamics. For example:
: Using 'ordinary' frequency, this equation would be:
:
See alsoFrequencyAngular velocityRadianPulsation
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