The flywheel of a gasoline engine is required to give up 300 J of kinetic energy while its angular velocity decreases from 600 rev `min^(-1)` to 540 rev. `min^(-1)`. What is the moment of inertia of the flywheel ?

Explanation

To find the moment of inertia of the flywheel, we can follow these steps:

### Step 1: Understand the relationship between work done and kinetic energy
The work done on the flywheel is equal to the change in its kinetic energy. We know that the flywheel gives up 300 J of kinetic energy.

### Step 2: Write the equation for kinetic energy
The kinetic energy (KE) of a rotating object is given by the formula:
\[
...