Radian per second

Radian per second is the SI unit of angular velocity, equal to a change of one radian in angle per second.

Radian: A unit of plane angle equal to the angle subtended at a circle’s center by an arc equal in length to its radius. It is the angle unit in the definition of one radian per second.
Angular frequency: The rate of phase change of a periodic process, commonly measured in radians per second. It uses the same unit to describe oscillations rather than bodily rotation.
Electric motor: A device that converts electrical energy into mechanical motion. Motor speed is often specified in revolutions per minute and converted to radians per second for calculations.
Cycles per second: A frequency unit counting complete periodic cycles in each second. Each cycle corresponds to 2π radians, so its numerical rate differs by that factor.
Angular velocity: The rate at which an object's angular position changes over time. Radian per second expresses this rate in a named unit.
Uniform circular motion: Motion along a circular path at constant speed. Its angular rate specifies how quickly the radius sweeps through angle.
Rotational speed: The rate at which an object rotates about an axis. Radian per second is a standard way to quantify this rate.
Degrees per second: An angular-rate unit measuring degrees of rotation per second. It measures the same kind of rate but uses 360 degrees per full turn.
Angular displacement: The change in angular position of a body, usually measured in radians. A change in this quantity forms the numerator of angular velocity.
Centripetal acceleration: The inward acceleration required to keep an object moving along a curved path. For circular motion, its magnitude depends on the square of angular velocity.

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