If you have 10.8 meters per second, how do you convert that to radians per second?

1 Answer
George C.
Jul 4, 2015

If #10.8# meters per second is a tangential velocity at radius #r# meters, then the angular velocity is #10.8 / r# radians per seconds.

Explanation:

#10.8# meters per second is a linear velocity.

Radians per second is an angular velocity.

If you have a point following a circular course of radius #r# at constant linear velocity #10.8# meters per second, then its angular velocity is #10.8 / r# radians.

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