Angular velocity is defined as the rate of change of angular displacement (d$\theta$) with respect to time (d$t$). Angular velocity ($\omega$) is a measure of the rate of change of angular displacement with respect to time. It describes how fast an object is rotating or how quickly its angular position is changing. Mathematically, it can be expressed as:

Where:

• $\omega$ is the angular velocity (in radians per second, rad/s),
• $d\theta$ is the angular displacement (in radians, rad),
• $dt$ is the time (in seconds, s).