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, we need to calculate the number of revolutions made by the engine as the angular velocity changes from 180 rpm to 300 rpm over a period of 4 seconds. Here’s a step-by-step solution:

### Step 1: Convert Angular Velocities from RPM to RPS
- The initial angular velocity (ω_initial) is given as 180 revolutions per minute (rpm).
- To convert this to revolutions per second (rps), we use the conversion factor:
\[ \omega_{\text{initial}} = 180 \, \text{rpm} \times \frac{1 \, \text{minute}}{60 \, \text{seconds}} = 3 \, \text{rps} \]
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