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Define angular speed

Updated: 9/14/2023
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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 velocity is given as radians per second; angular speed is also the same thing. Velocity is a vector with magnitude and direction and speed a scalar with magnitude only. The magnitude is identical; velocity will define the direction of rotation ( clockwise or counterclockwise).


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