An energy of `484 J` is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm. Calculate moment of inertia of flywheel.

Explanation

To solve the problem of calculating the moment of inertia of the flywheel, we will follow these steps:

### Step 1: Convert RPM to Radians per Second
First, we need to convert the initial and final speeds from revolutions per minute (rpm) to radians per second (rad/s).

- **Initial speed (ω₁)**:
\[
ω₁ = 60 \, \text{rpm} = 60 \times \frac{2\pi \, \text{rad}}{60 \, \text{s}} = 2\pi \, \text{rad/s}
...