Q. If $\alpha$ is angular acceleration, $\omega$ is angular velocity and $a$ is the centripetal acceleration then, which of the following is true?
A) $\alpha = \frac{\omega a}{v}$
B) $\alpha = \frac{v}{\omega a}$
C) $\alpha = \frac{va}{\omega}$
D) $\alpha = \frac{a}{\omega v}$
Explanation
(a) Centripetal acceleration
$a = \frac{v}{t}$
$Angular\ acceleration\ \propto = \frac{\omega}{t} = \frac{\omega v}{vt}$
$\therefore\ \ \propto = \frac{\omega\ a}{v}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.