Question

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

Answer 1

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.