Angular velocity is a concept in physics that describes the rate at which an object rotates or moves around a circular path. It is a measure of how quickly an object changes its angular position with respect to time.

In simpler terms, angular velocity tells us how fast something is spinning or rotating.

Mathematically, angular velocity (ω) is defined as the change in angular displacement (θ) divided by the change in time (t):

where:

– ω is the angular velocity,

–  ∆θ is the change in angular displacement, and

–  ∆t is the change in time.

Angular velocity is measured in units like radians per second (rad/s) or degrees per second (°/s), depending on the units used to measure angular displacement.

Angular velocity is crucial in understanding rotational motion in various fields such as physics, engineering, and astronomy. It helps describe the speed and direction of rotation of objects such as wheels, gears, planets, and galaxies.