The angular velocity of a motor wheel changes from `180` rpm to `300` rpm in `4` seconds. Calculate the no. of revolutions does the engine make during this time.

Explanation

To solve the problem step by step, we will follow the calculations outlined in the video transcript.

### Step 1: Convert Angular Velocities from RPM to Radians per Second
The initial angular velocity (ω₀) is given as 180 rpm. To convert this to radians per second, we use the conversion factor \( \frac{2\pi \text{ radians}}{60 \text{ seconds}} \).

\[ \omega_0 = 180 \, \text{rpm} = 180 \times \frac{2\pi}{60} = 6\pi \, \text{radians/second} \]
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