Q. What happens to the centripetal acceleration of a particle, when its speed is doubled and angular velocity is halved?
A) Doubled
B) Halved
C) Remains unchanged
D) Becomes 4 times
Explanation
(c) From $v = r\omega,$ when $v$ is doubled and $\omega$ halved, $r$ must be 4 times. Therefore, centripetal acceleration
$= \frac{v^{2}}{r} = r\omega^{2}$ will remain unchanged
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.