The radian per second is also the SI unit of angular frequency (symbol ω, omega).

One radian per second also corresponds to about 9.55 revolutions per minute (rpm).

A use of the unit radian per second is in calculation of the power transmitted by a shaft.

In the International System of Quantities (SI) and the International System of Units, widely used in physics and engineering, the power p is equal to the angular speed ω multiplied by the torque τ applied to the shaft: p = ω ⋅ τ.

When the units are not coherent (e.g. horsepower, turn/min, and pound-foot), an additional factor will generally be necessary.