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angular frequency : ウィキペディア英語版
angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. It refers to the angular displacement per unit time (e.g., in rotation) or the rate of change of the phase of a sinusoidal waveform (e.g., in oscillations and waves), or as the rate of change of the argument of the sine function.
Angular frequency (or angular speed) is the magnitude of the vector quantity ''angular velocity''. The term angular frequency vector \vec is sometimes used as a synonym for the vector quantity angular velocity.〔(UP1)〕
One revolution is equal to 2π radians, hence〔
:\omega = \over T} = ,
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).
==Units==
In SI units, angular frequency is normally presented in radians per second, even when it does not express a rotational value. From the perspective of dimensional analysis, the unit hertz (Hz) is also correct, but in practice it is only used for ordinary frequency ''f'', and almost never for ω. This convention helps avoid confusion.
In digital signal processing, the angular frequency may be normalized by the sampling rate, yielding the normalized frequency.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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