Understanding the Doppler Effect Equation: Velocity and Frequency Relationship

AI Thread Summary
The discussion centers on the Doppler Effect equation and the confusion surrounding the signs of the observer's velocity (v_o) and the source's velocity (v_s) when a person with a tuning fork approaches a wall. Participants clarify that the wall can be treated as a source moving towards the observer, leading to different frequency outcomes depending on whether the observer or the source is moving. It is emphasized that the frequency heard will vary based on the relative motion, with sound waves compressing when the source approaches the observer. The distinction between the equations for different scenarios is crucial, as they yield different frequencies perceived by the listener. Understanding these nuances is essential for accurately applying the Doppler Effect in practical situations.
dekoi
Suppose a person is traveling towards a wall with a tuning fork at frequency 'f' at a speed of 'v*'. Using the doppler effect equation:
f' \ = \frac{v + v_o}{v - v_s}

What would the sign of v_o and v_s be? I don't understand, since the man is both the observer and the source. (Let - be receeding and + be approaching).
 
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Treat the wall as a source which is approaching the observer. Remember that observers are aways stationary.
 
Integral said:
Remember that observers are aways stationary.

Observers aren't always stationary though. The effect will be different if the wall approaches him than if he approaches the wall.
 
So which is the correct answer??
 
d_leet said:
Observers aren't always stationary though. The effect will be different if the wall approaches him than if he approaches the wall.
Why? (to b, not to a)
 
berkeman said:
Why? (to b, not to a)

Because if the sound is moving then the waves will be closer together or farther apart than if the sound is staionary.
 
No. In an approaching situation, the waves are compressed no matter what.
 
berkeman said:
No. In an approaching situation, the waves are compressed no matter what.

but if f is the frequency of the source.

then f(1+ v/v_sound) is noth the same thing as f/(1 - v/v_sound) the equations are different for each situation so the frequencies heard by the listener will be different in each case.
 
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