Question

A wheel of radius 10 cm can rotate freely about its center as shown in figure. A string is wrapped over its rim and is pulled by a force of 5.0 N. It is found that the torque produces an angular acceleration $2.0rad/s^2$ in the wheel. Calculate the moment of inertia of the wheel.

Answer 1

Torque produced is $\tau =Fr=I\alpha$

$⟹I=\frac{Fr}{\alpha }$

$⟹I=\frac{5\times 0.1}{2}$

$⟹I=0.25kg-m^2$