Q. A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ?
A) 25 $m/s^2$
B) 0.25 $rad/s^2$
C) 25 $rad/s^2$
D) 5 $m/s^2$
Explanation
[Solution] $\tau = FR = 12$ N m; $I = MR^2 = 0.48$ kg $m^2$; $\alpha = 25$ $rad/s^2$. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.