The motor of an engine is rotating about its axis with an angular velocity of 100 rev/minute. It comes to rest in 15 s, after being switched off. Assuming constant angular deceleration, calculate the number of revolutions made by it before coming to rest.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert the initial angular velocity from revolutions per minute to radians per second.
The initial angular velocity (\( \omega_0 \)) is given as 100 revolutions per minute (rev/min). We need to convert this to radians per second (rad/s).

\[ \omega_0 = 100 \, \text{rev/min} \times \frac{2\pi \, \text{rad}}{1 \, \text{rev}} \times \frac{1 \, \text{min}}{60 \, \text{s}} = \frac{100 \times 2\pi}{60} = \frac{10\pi}{3} \, \text{rad/s} \]
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