Question

Define and explain the following terms of circular motion: (1) angular velocity (2) angular speed (3) angular acceleration.

Answer 1

$\left(1\right)$Angular velocity is the rate at which a particle rotates around the a particular chosen center point, that is time rate change of angular dispalcement relative to the origin. Its SI unit is radians per second

$\overrightarrow{w}=d\overrightarrow{\theta /}dt$

$\left(2\right)$ Angular speed is the time rate of change of angular distance relative to the origin. The difference between angular speed and angular velocity is that angular velocity is a vector quantity and also contains information about the direction of rotation. SI unit of angular speed is also radians per second

$w=d\theta /dt$

$\left(3\right)$ Angular acceleration is the time rate of change of angular velocity relative to the origin.

$\overrightarrow{\alpha }=\frac{\overrightarrow{dw}}{dt}$

It is measured in radian per second squared $\left(rad/s^2\right)$