A whistle of frequency 540 Hz moves in a circle of radius 60.0 cm at an angular speed of 20.0 rad/s. What are the (a) lowest and (b) highest frequencies heard by a listener a long distance away, at rest with respect to the center of the circle?

Explanation

To solve the problem, we need to determine the lowest and highest frequencies heard by a listener due to the Doppler effect as the whistle moves in a circular path. Here’s a step-by-step breakdown of the solution:

### Given Data:
- Frequency of the whistle (source frequency, \( f_s \)) = 540 Hz
- Radius of the circular path (R) = 60.0 cm = 0.6 m
- Angular speed (\( \omega \)) = 20.0 rad/s
- Speed of sound in air (\( v \)) = 343 m/s (approximately)

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