A fan is making `600` revolutions per minute. If after some time it makes `1200` revolutions per minute, then the increase in its angular velocity is

Options

A. `10 pi rad//s`
B. `20 pi rad//s`
C. `40 pi rad//s`
D. `60 pi rad//s`

Explanation

To find the increase in angular velocity of the fan, we will follow these steps:

### Step 1: Convert revolutions per minute to radians per second
1. **Initial angular velocity (ω₁)**: The fan is initially making 600 revolutions per minute (rpm).
- To convert this to radians per second:
\[ \omega_1 = 600 \text{ revolutions/minute} \times \frac{2\pi \text{ radians}}{1 \text{ revolution}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \]
...