How Do You Derive the Doppler Effect for Moving Observers and Sources?

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SUMMARY

The discussion focuses on deriving the Doppler Effect for scenarios involving a moving observer and a moving source. The key equation presented is f' = f*(v +/- vo)/(v +/- vs), where f' represents the observed frequency, f is the source frequency, v is the speed of sound, vo is the observer's velocity, and vs is the source's velocity. The contributor initially struggled with the derivation but concluded that the wavelength changes with a moving source and that the observer's velocity affects the perceived frequency.

PREREQUISITES
  • Understanding of wave frequency and wavelength concepts
  • Familiarity with the speed of sound in a medium
  • Basic knowledge of relative motion principles
  • Ability to manipulate algebraic equations
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  • Explore the impact of different mediums on sound wave propagation
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tjaeger
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Homework Statement



I have a problem that asks to derive the doppler effect for the two different cases of a moving observer and a moving source.

Homework Equations



I should get f' = f*(v +/- vo)/(v +/- vs) as my general equation, where f' is the observed frequency and f is the frequency of the wave.

The Attempt at a Solution



I wish I had more work to show, but I'm not really sure how to derive formulas. Where should I begin?
 
Last edited:
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Nevermind, I figured it out. Wavelength changes with a moving source and velocity of the sound wrt the observer changes when the observer is moving.
 

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