Q. A flywheel gains a speed of $540\ r.p.m.$ in $6\ sec$. Its angular acceleration will be

A) $3\pi\ rad/s{ec}^{2}$
B) $9\pi\ rad/s{ec}^{2}$
C) $18\pi\ rad/s{ec}^{2}$
D) $54\pi\ rad/s{ec}^{2}$
Explanation

(a) $\alpha = \frac{\omega}{t} = \frac{2\pi n}{t} = \frac{2\pi\left( \frac{540}{60} \right)}{6} = 3\pi\ rad/s^{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.