Angular frequency

In physics, angular frequency "ω" (also referred to by the terms angular speed and angular rate) is a scalar measure of the angular displacement per unit time (for example, in rotation) or the rate of change of the phase of a sinusoidal waveform (for example, 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 pseudovector quantity angular velocity.[1]

Angular frequency ω (with unit radian per second), is 2π times frequency ν (with unit Hz, also called cycle per second). This figure uses the symbol ν, rather than f to denote frequency.
A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.

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


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