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What is Dimensional Formula of Angular Speed?

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Angular speed is defined as the time at which  rate of change of angular position of an object occurs.

Mathematically,
Angular speed (ω) = 2π/ Time.

Dimensional Formula of Time = M0L0T1
And we know π is non dimensional so
Putting these values in above equation we get,

Dimensional Formula of Angular speed = M0L0T-1
SI unit of Angular speed is radians per sec (rad s -1) .

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