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

AI Thread Summary
The discussion focuses on deriving the Doppler effect for scenarios involving a moving observer and a moving source. The general equation presented is f' = f*(v +/- vo)/(v +/- vs), where f' represents the observed frequency and f is the source frequency. The user initially expressed uncertainty about how to derive the formulas but later realized that the wavelength changes with a moving source and the velocity of sound relative to the observer changes when the observer is in motion. This highlights the importance of understanding both the source's motion and the observer's motion in calculating the Doppler effect. The conversation underscores the fundamental principles behind the Doppler effect in wave mechanics.
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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?
 
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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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