A solid cylinder of mass `20 kg` rotates about its axis with angular speed `100 s^(-1)`. The radius of the cylinder is `0.25 m`. What is the kinetic energy associated with the rotation of the cylinder ? What is the magnitude of angular momentum of the cylinder about its axis ?

Explanation

To solve the problem, we will calculate the kinetic energy associated with the rotation of the solid cylinder and then find the magnitude of its angular momentum about its axis.

### Step 1: Calculate the Moment of Inertia (I) of the Cylinder
The moment of inertia \( I \) for a solid cylinder rotating about its axis is given by the formula:
\[ I = \frac{1}{2} m r^2 \]
where:
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