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

If $10.8$ meters per second is a tangential velocity at radius $r$ meters, then the angular velocity is $\frac{10.8}{r}$ radians per seconds.
$10.8$ meters per second is a linear 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 $\frac{10.8}{r}$ radians.