Question

A particle is moving along a circular path with uniform speed. Through what angle does its angular velocity changes when it completes half of the circular path?

• A. $0^{\circ }$
• B. ${45}^{\circ }$
• C. ${180}^{\circ }$
• D. ${360}^{\circ }$

Answer 1

The correct option is A $0^{\circ }$

Angular velocity is a vector quantity which is defined as,
$\overrightarrow{\omega }=\frac{d\overrightarrow{\theta }}{dt}$
where $d\overrightarrow{\theta }$ is angular displacement.

Direction of angular velocity is always perpendicular to plane of the circular path. Hence change in angle is zero because direction of angular velocity is not changed.