The angular speed of a moton wheel is increased from `1200` rpm to 3120 rpm in `16` seconds. (i) What is the angular acceleration, assuming the acceleration to be uniform ? (ii) How many revolutions does the engine make during this time ?

Explanation

To solve the problem step by step, we will break it down into two parts: finding the angular acceleration and calculating the number of revolutions made during the time interval.

### Step 1: Convert angular speeds from rpm to radians per second

1. **Initial Angular Speed (ω_initial)**:
\[ \omega_{\text{initial}} = 1200 \text{ rpm} = 1200 \times \frac{2\pi \text{ radians}}{60 \text{ seconds}} = 40\pi \text{ radians/second} \]
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