Physics - Heat & Thermo Question with Solution | TestHub

A uniform cylinder of steel of mass $M$, radius $R$ is placed on frictionless bearings and set to rotate about its axis with angular velocity ${\omega }_0$. After the cylinder has reached the specified state of rotation, it is heated from temperature $T_0$ to $\left(T_0+\Delta T\right)$ without any mechanical contact. If $\frac{\Delta \mathrm{I}}{\mathrm{I}}$ is the fractional change in moment of inertia of the cylinder and $\frac{\Delta \omega }{{\omega }_0}$ be the fractional change in the angular velocity of the cylinder and $\alpha$ be the coefficient of linear expansion, then