**To convert radians per second to meters per second, multiply theta, the rate of motion in radians per second, by the radius of the arc along which the motion is taking place.** The radius measurement must be in meters.

The conversion of radians per second to meters per second is equivalent to finding the length of the arc traveled in one second. Arc length is equal to the arc radius multiplied by the angle covered by the arc, provided the angle is measured in radians. The unit of the resulting arc length is the same as the unit of the radius measurement.