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 solve the problem of finding the moment of inertia of the flywheel, we can follow these steps:

### Step 1: Understand the relationship between kinetic energy and moment of inertia
The change in kinetic energy (ΔKE) of a rotating object is given by the formula:
\[ \Delta KE = \frac{1}{2} I \omega_f^2 - \frac{1}{2} I \omega_i^2 \]
where:
...