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If there is a rotation, "angular velocity" and "angular frequency" is the same thing. However, "angular frequency" can also refer to situations where there is no rotation.

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If there is a rotation, "angular velocity" and "angular frequency" is the same thing. However, "angular frequency" can also refer to situations where there is no rotation.

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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. 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.[1]

One revolution is equal to 2π radians, hence[1][2]

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),
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Angular frequency differs from frequency by factor '2Pie'. It has the dimension of reciprocal time(same as angular speed). Its unit is radian/sec. Or you can simply say that angular frequency is the magnitude of angular velocity(a vector quantity).

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Scalar. Angular frequency vector is roughly synonymous with angular velocity.

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Angular frequency is related to linear frequency as

w = 2 x pi x f wher w = angular frequency

linear frequency is cycles per second, or number of oscillations per second, called Hertz

angular frequency for f = 1 = 2 pi f = 2 pi, or one revolution. It has units of radians per second

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