A flywheel rotating at `420` rpm slows sown at a constant rate `2 rad s^(-2)`. What time is required to stop the flywheel ?

Explanation

To solve the problem of how long it takes for the flywheel to stop, we can follow these steps:

### Step 1: Convert the initial angular velocity from rpm to rad/s
The initial angular velocity (ω_initial) is given as 420 revolutions per minute (rpm). We need to convert this to radians per second (rad/s).

1. **Conversion Formula**:
\[
\text{Angular velocity in rad/s} = \text{rpm} \times \frac{2\pi \text{ rad}}{1 \text{ rotation}} \times \frac{1 \text{ minute}}{60 \text{ seconds}}
...