What is the significance of relative velocity in the Doppler effect?

Click For Summary
SUMMARY

The discussion centers on the significance of relative velocity in the Doppler effect, specifically addressing the confusion surrounding frequency changes when a sound source moves towards a listener. The correct Doppler formula for an approaching source is given as f' = (v / (v - v_s)) f, where v_s is the speed of the source. The participants clarify that the relative velocity of the source and observer does not directly factor into the Doppler formula, as the speeds are relative to the medium (air) rather than each other. Understanding this distinction is crucial for accurately applying the Doppler effect in practical scenarios.

PREREQUISITES
  • Understanding of the Doppler effect and its applications
  • Familiarity with the formula for calculating observed frequency
  • Basic knowledge of sound wave propagation in a medium
  • Concept of relative velocity in physics
NEXT STEPS
  • Review the derivation of the Doppler effect formula for sound waves
  • Explore the differences between moving sources and moving observers in the context of the Doppler effect
  • Study the implications of relative velocity in various wave phenomena
  • Investigate applications of the Doppler effect in real-world scenarios, such as radar and astronomy
USEFUL FOR

Physics students, educators, and anyone interested in understanding wave behavior and the Doppler effect in sound and other mediums.

PsychonautQQ
Messages
781
Reaction score
10

Homework Statement


http://grephysics.net/ans/8677/12

I don't understand how it increases it's frequency by a factor of 10, I mean the total velocity goes from 1 to 1.9, therefore It seems like it should increase from 1kHz to 1.9kHz. Why is my 'common sense' wrong?
 
Physics news on Phys.org
PsychonautQQ said:
I don't understand how it increases it's frequency by a factor of 10, I mean the total velocity goes from 1 to 1.9, therefore It seems like it should increase from 1kHz to 1.9kHz. Why is my 'common sense' wrong?
What does the Doppler formula give you for the observed frequency when the source is moving? Not sure what you mean by "total velocity"--realize that the source is moving towards the listener.

(I misread the problem myself, the first time through.)
 
frequency receiver = (velocity sound + velocity sender) * frequency sender
with velocity of sound = c and velocity of sender = .9c, It seems the frequency received is 1.9 the original frequency. No?
 
PsychonautQQ said:
frequency receiver = (velocity sound + velocity sender) * frequency sender
with velocity of sound = c and velocity of sender = .9c, It seems the frequency received is 1.9 the original frequency. No?
No.

The Doppler formula for an approaching source is:
##f' = \frac{v}{v - v_s} f##
where ##v_s## is the speed of the source.

See: Doppler Effect
 
Okay so the correct Doppler effect the source is in the denominator, I don't understand qualitatively why it matters though. Whether it's the receiver or sender that's movie, the relative velocity between them is going to be the same?
 
PsychonautQQ said:
Okay so the correct Doppler effect the source is in the denominator, I don't understand qualitatively why it matters though. Whether it's the receiver or sender that's movie, the relative velocity between them is going to be the same?
Note that relative velocity (of source and observer) doesn't enter into the Doppler formula (at least for sound). The speeds are relative to the air. And that a moving source differs from a moving observer. (Compare the two cases, even for the same speed.)

To understand how this is, you'll need to review the details of the derivation of the formula.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
911
Replies
8
Views
1K
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K