# Angular velocity

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For an object rotating about an axis, every point on the object has the same angular velocity. The tangential velocity of any point is proportional to its distance from the axis of rotation. Angular velocity has the units rad/s.

v = ωr
$\omega = \frac{v}{r}$

Angular velocity is the rate of change of angular displacement and can be described by the relationship:

$\omega_{avg} = \frac{\Delta \theta}{\Delta t}$

and if v is constant, the angle can be calculated from:$\theta = \theta_{o} + \omega t$