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]

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

$${\displaystyle \omega ={\frac {2\pi }{T}}={2\pi f},}$$

where:

• ω is the angular frequency (unit: radians per second),
• T is the period (unit: seconds),
• f is the ordinary frequency (unit: hertz) (sometimes ν).