Doppler effect (source and detector moving together)

In summary, the conversation discussed the problem of finding the frequency that an observer riding with a source hears when the source emits sound with a frequency of 860 Hz and is moving at 20.0 m/s towards a stationary reflecting wall. Using the equation FL=Fs, the frequency received at the wall was determined to be 976 Hz. The conversation also touched on the concept of treating the reflected sound from the wall as a new source.
  • #1
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Homework Statement



A source emits sound with a frequency of 860 Hz. It is moving at 20.0 m/s toward a stationary reflecting wall. If the speed of sound is 343 m/s, what frequency does an observer riding with the source hear?


  • A

    860 Hz


  • B

    913 Hz


  • C

    910 Hz


  • D

    765 Hz

  • E

    967 Hz

Homework Equations


CodeCogsEqn-4.gif

WHERE FL and vL are the frequency and velocity of sound heard by the personL
fs and vs are the frequency and velocity of sound emmited by the source

The Attempt at a Solution

:[/B]
v=343 m/sec
vs=20 m/sec
vL=-vs=-20 m/sec since if it is moving away from the source
fs=860Hz
then using the aboove equation
CodeCogsEqn-4.gif

FL=860Hz=Fs
but it is incorrect? Why?
 
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  • #2
You need to do this in two steps. Step one: What is the frequency received at the wall? (Then treat the reflected sound from the wall as the new source.)
 
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  • #3
Doc Al said:
You need to do this in two steps. Step one: What is the frequency received at the wall? (Then treat the reflected sound from the wall as the new source.)
Ah then vs=vL since both are coming toward each other.
then fL=976 Hz which is correct :) thanks
 
  • #4
Doc Al said:
You need to do this in two steps. Step one: What is the frequency received at the wall? (Then treat the reflected sound from the wall as the new source.)
Suppose we don't have a wall, then how are we supposed to find that frequency received by the person?
 
  • #5
Any Help said:
Suppose we don't have a wall, then how are we supposed to find that frequency received by the person?
Not sure what you mean. What is he hearing? (There needs to be a source of sound.)
 

FAQ: Doppler effect (source and detector moving together)

What is the Doppler effect?

The Doppler effect is a phenomenon in which the frequency of a wave appears to change when there is relative motion between the source of the wave and the observer. This effect is commonly experienced with sound waves, such as when a siren on a moving vehicle appears to have a higher pitch as it approaches and a lower pitch as it moves away.

How does the Doppler effect occur when the source and detector are moving together?

When the source and detector are moving together, the Doppler effect still occurs, but the frequency of the wave remains the same. This is because the relative motion between the source and detector is not changing, so there is no apparent change in the frequency of the wave.

Can the Doppler effect be observed with light waves?

Yes, the Doppler effect can be observed with light waves as well. This is known as the Doppler shift and is commonly used in astronomy to determine the motion of stars and galaxies.

What is the difference between the Doppler effect and the Doppler shift?

The Doppler effect refers to the change in frequency of a wave perceived by an observer in relation to the motion of the source. The Doppler shift, on the other hand, refers to the change in frequency of a wave due to the motion of the observer or the source. In other words, the Doppler effect is observer-dependent, while the Doppler shift is dependent on the motion of either the source or the observer.

How is the Doppler effect used in everyday life?

The Doppler effect has many practical applications in everyday life. It is used in radar technology to measure the speed of moving objects, in medical ultrasound to measure blood flow, and in police radar guns to measure the speed of vehicles. It is also used in astronomy to determine the motion of celestial bodies.

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