A solid sphere of radius 25 cm and mass 25 kg rotates about an axis through its centre. Calculate its moment of inertia if its angular velocity changes from 2 rad/s to 22 rad/s in 5 seconds.
Also calculate the torque applied.

Explanation

To solve the problem step by step, we will first calculate the moment of inertia of the solid sphere and then calculate the torque applied.

### Step 1: Calculate the Moment of Inertia

The formula for the moment of inertia \( I \) of a solid sphere about an axis through its center is given by:

\[
I = \frac{2}{5} m r^2
...