Question

A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration, and centripetal acceleration of the particle at any instant, respectively are $\overrightarrow{\omega },\overrightarrow{v},\overrightarrow{\alpha }$ and $\overrightarrow{a_c}$. Which of the following relations is not correct?

• A. $\overrightarrow{\omega }\perp \overrightarrow{v}$
• B. $\overrightarrow{\omega }\perp \overrightarrow{\alpha }$
• C. $\overrightarrow{\omega }\perp \overrightarrow{a_c}$
• D. $\overrightarrow{v}\perp \overrightarrow{a_c}$

Answer 1

The correct option is B $\overrightarrow{\omega }\perp \overrightarrow{\alpha }$

Angular acceleration and angular velocity are along the axis of the circular path. so they cannot be perpendicular to each other.

Centripetal acceleration is in the plane of the circle and is perpendicular to tangential velocity and angular velocity.