To increase the speed of a flywheel from 60 rpm to 360 rpm, energy of 490 J is spent. Calculate the moment of inertia of wheel.

Explanation

To find the moment of inertia of the flywheel, we can 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).

1. **Initial Speed (ω_initial)**:
\[
\omega_{\text{initial}} = 60 \, \text{RPM} \times \frac{2\pi \, \text{rad}}{60 \, \text{s}} = 2\pi \, \text{rad/s}
...