What is the Doppler Effect of a Car's Music at Different Positions?

[Intrusionv2]

Homework Statement

A car is driving down the road at 25m/s. Inside the car, the radio is blaring music at 1800Hz. How would it sound to a person standing still a) in front of the car b) behind the car?

Homework Equations

[fo/(vw+vo)] = [fs/(vw-vs)]

The Attempt at a Solution

a)
[fo/(vw+vo)] = [fs/(vw-vs)]
= [fo/350] = [1800/(350-25)]
= fo = 1938.5Hz

b)
[fo/(vw+vo)] = [fs/(vw-vs)]
= [fo/350] = [1800/(350+25)]
= fo = 1680Hz

 

[Kurdt]

That looks fine for sound traveling at 350m/s.

 

[nlightner]

The Doppler effect is a phenomenon that occurs when there is relative motion between a source of sound and a listener. In this case, the car is the source of sound and the person standing still is the listener. As the car approaches the person in front of it, the sound waves from the music are compressed, resulting in a higher frequency (1938.5Hz) being heard. This is because the car is moving towards the listener, causing the sound waves to reach them more quickly. On the other hand, as the car moves away from the person standing behind it, the sound waves are stretched, resulting in a lower frequency (1680Hz) being heard. This is because the car is moving away from the listener, causing the sound waves to take longer to reach them. Therefore, the Doppler effect of a car's music at different positions can be observed through changes in frequency based on the relative motion between the car and the listener.