What is the relationship between Doppler Effect and frequency?

AI Thread Summary
The discussion centers on the Doppler Effect and its relationship with frequency, specifically how to calculate the speed of a train based on observed frequencies of 1000 Hz while approaching and 800 Hz while receding. The observer is unsure how to determine the actual frequency emitted by the train to solve for its speed, given the equation provided. Another participant clarifies that there are two equations available: one for the approaching train and one for the receding train, allowing for the calculation of both the train's speed and its emitted frequency. This dual-equation approach resolves the issue of having two unknowns. Understanding this relationship is crucial for accurately applying the Doppler Effect in practical scenarios.
studentmom
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I have a question regarding the doppler effect and frequency:

You (a stationary observer) are standing by the railroad tracks and hear a frequency of 1000 Hz as the train approaches... as the train goes away, the frequency changes to 800 Hz. Knowing that the speed of sound is 340 m/s, how fast is the train moving?

Now, I understand that the observed frequency seems different (larger) as the train approaches, and smaller when the train leaves. However, I cannot figure out how to find the actual frequency from the source in order to calculate the speed of the train. It seems to me that I have 2 unknowns. The equation I was trying to use was:
f (observed) = f (source) * (speed of sound/
speed of sound -
speed of train)

Any help would be appreciated!
 
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Thanks, but the information states the same thing that I already knew... the equation is the same, and it offers no explanation of how to figure out the actual frequency of the train's noise...

??
 
studentmom said:
Thanks, but the information states the same thing that I already knew... the equation is the same, and it offers no explanation of how to figure out the actual frequency of the train's noise...
??
You don't have only one equation, you have two equations: in the first one you put vd as the train's speed, in the second you put -vd.
So you have two equations in the two unknowns vd and f (train's frequency).
 
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