Looking for classes? Ksquare Career Institute, Bengaluru →
Torque and angular acceleration
-
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?
$\alpha = F/(MR)$ for a hollow cylinder.
$\tau = I\alpha$ $F\times R = MR^2\alpha$ $30\times0.4 = 3\times(0.4)^2\alpha$ $12 = 3\times0.16\,\alpha$ $\alpha = 25\ rad/s^2$
