radian/second [rad/s] Unit Converter

Definition of radian/second [rad/s] unit

Radian per second (rad/s) is the SI unit of angular velocity. It describes how quickly an object’s angular position changes, with one radian of rotation occurring each second. It indicates rotational speed and direction when signed.

History of radian/second [rad/s] unit

The radian developed from the mathematical study of circles, where arc length divided by radius provides a natural measure of angle. Although this relationship was recognized earlier, the term “radian” became established during the nineteenth century. As science and engineering adopted coherent measurement systems, the radian was treated as a dimensionless SI derived unit. Pairing it with the second created radian per second, a consistent measure of angular velocity. It became especially important in mechanics, astronomy, electrical engineering, and control theory, where rotational motion and oscillation must be analyzed quantitatively.

Applications of radian/second [rad/s] unit

Radian per second is used to express the rotational speed of shafts, wheels, turbines, motors, gears, and robotic joints. In physics, it describes angular frequency in oscillations and waves. Engineers use it in control systems, navigation, and signal processing. For example, a motor rotating at 10 rad/s changes its angular position by 10 radians every second.

Complete list of radian/second [rad/s] unit conversion