A whistle of frequency 540 Hz is moving in a circle of radius 2 ft at a constant angular speed of 15 rad/s. What are the lowest and highest frequencies heard by a listener standing at rest, a long distance away from the centre of the circle? (Velocity of sound in air is 1100ft/s)

Explanation

To solve the problem, we need to determine the lowest and highest frequencies heard by a listener standing at rest while the whistle is moving in a circular path. We will use the Doppler effect formula for a moving source and a stationary observer.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Frequency of the whistle (source frequency, \( f_0 \)) = 540 Hz
- Radius of the circle (r) = 2 ft
- Angular speed (\( \omega \)) = 15 rad/s
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