How Many Beats per Second Will the Runner Hear Due to Sound Interference?

In summary, the problem at hand involves a car honking a 2kHz tone and a man running parallel to a high wall. The man is 10m away from the wall and is currently 30m away from the closest point to the wall where he can hear the car's whistle. The man is moving at a speed of 5 m/s, but it is important to consider his velocity component along the line from the car to the man. The solution involves using the Doppler effect and treating the echo as coming from an image of the car reflected in the wall. The man's velocity towards the car's image must be taken into account when calculating the number of beats/second that he will hear.
  • #1
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Homework Statement


A car honks a 2kHz tone and is 40m from a long high wall. A man is running parallel to the wall, 10m away from it, at 5 m/s, and is presently 30m away from where the whistle is closest to the wall. How many beats/second will be heard by the runner as he will hear the direct whistle signal and the one reflected from the wall.


Homework Equations


The Attempt at a Solution



I have drawn a diagram and also knw that this problem has to do with the Doppler effect.
But i am not sure where to start.
 

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  • #2
You can treat the echo as coming from another source, being the image of the car reflected in the wall. How fast is the man moving away from the car? From the image car?
 
  • #3
okay so i know that the man is moving 5m/s and the frequency at the source will be
2kHz but how would i found the seed of the wave...will it just be speed of sound?
 
  • #4
He's moving at 5m/s, but how fast is he moving away from the car?
 
  • #5
aright the man is 42.42m away from the car and 31.62m away from the reflection...but would he not be moving away at 5m/s from both these points aswell?
if not how would u figure that out?
 
  • #6
Velocity is a vector. What is the component of the man's velocity along the line from car to man?
What do you mean by "the man is 31m from the reflection? It's the distance and speed from the car's 'image' reflected in the wall that matters.
 

FAQ: How Many Beats per Second Will the Runner Hear Due to Sound Interference?

What is sound interference?

Sound interference is the phenomenon that occurs when two or more sound waves interact with each other, resulting in a change in the overall sound. This can either amplify or diminish the sound, depending on the type of interference.

How does sound interference affect whistle sounds?

In the case of a whistle, sound interference can cause the pitch to change. This is because the sound waves produced by the whistle can interact with each other, resulting in constructive or destructive interference. This can lead to a higher or lower pitch, respectively.

What causes sound interference?

Sound interference is caused by the superposition of sound waves. When two sound waves overlap, they can either add up or cancel each other out, resulting in constructive or destructive interference, respectively.

Can sound interference be controlled or manipulated?

Yes, sound interference can be controlled and manipulated. This is often done in sound engineering and music production to create certain effects or to improve sound quality. Techniques such as phase shifting and equalization can be used to control sound interference.

How does sound interference impact everyday life?

Sound interference plays a role in many aspects of everyday life. It can affect the sound quality of music and audio recordings, impact communication through phone calls or video chats, and even cause unwanted noise in certain environments. Understanding sound interference can help improve sound experiences in daily life.

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