A fan is rotating with a speed of 450 rec/minute. After being switched off it comes to rest in 10s. Assuming constant angular deceleration, calculate the number of revolutions made by it before coming to rest.

Explanation

To solve the problem step by step, we will follow the same logic as presented in the video transcript:

### Step 1: Convert the initial angular velocity to radians per second
The initial angular velocity (ω₀) is given in revolutions per minute (rpm). We need to convert this to radians per second.

\[ \omega_0 = 450 \text{ rpm} = 450 \times \frac{2\pi \text{ radians}}{60 \text{ seconds}} = 15\pi \text{ radians/second} \]
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