Question

Single Correct Answer Type
A particle is moving along a circular path with uniform speed. Through what angle does its angular velocity change when it completed half of the circular path?

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

Answer 1

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

angular velocity $\overrightarrow{\omega }$, velocity $\overrightarrow{v}$ and radius $\overrightarrow{r}$ are related as $\overrightarrow{v}=\overrightarrow{\omega }\times \overrightarrow{r}$. that means all three vectors are perpendicular to each other. velocity $\overrightarrow{v}$ and radius $\overrightarrow{r}$ are always in the plane of revolution implying that the angular velocity $\overrightarrow{\omega }$ is always along the axis of rotation.So the angular velocity does not changes its angle i.e. change in the angle is zero degrees.