How do you convert rpm to radians per second?

(x radians / second) x (1 revolution / 2 pi radians) x (60 seconds / minute) = (60x) / (2 pi) (revolution / minute) Multiply (radians per sec) by (60)/(2 pi) = 9.5493 (rounded) to get RPM.

Only if its metres / sec in a circular path, then you would need the radius to work out its revs per second, then multiply by (2 * pi) to get radians / sec.>Example 10 m/s at 10 m...

the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius

You cannot.Radians per second is a measure of angular speed whereas degrees are an angular measure.

1 rotation/1 min * 1 min/60s * (2*Pi radian/1 rotation)