Find the expression for the frequency emitted if the source

AI Thread Summary
To find the expression for the frequency emitted by a stationary source, the relevant equations are fr = fs/(1±u/v) and f = v/λ. The measured frequencies f1 and f2 correspond to the frequency received when the source approaches and recedes, respectively. By substituting the values of f1 and f2 into the Doppler effect equation, two equations can be established to solve for the emitted frequency fs. The goal is to eliminate the variable u, which represents the speed of the source, to express fs solely in terms of f1, f2, and wave speed v.
grapejellypie
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Homework Statement


A wave source approaches you at constant speed and you measure a wave frequency f1. As the source passes and then recedes, you measure frequency f2. Find the expression for the frequency emitted if the source were stationary in terms of f1, f2, and wave speed v.

Homework Equations


I'm not sure which equations are relevant, but here are some:
f=v/λ (where λ = wavelength)
for situations in which the source is in motion relative to a stationary receiver
fr=(fs)/(1±u/v) where fr=frequency the receiver receives; fs= frequency emitted by source, u=speed of source, and v= wave speed)

The Attempt at a Solution


I'm not sure how to go about solving this problem. I know that the answer will be in terms of variables...
I also know that fs= fr when the source and receiver are stationary
 
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grapejellypie said:
... for situations in which the source is in motion relative to a stationary receiver
fr=(fs)/(1±u/v) where fr=frequency the receiver receives; fs= frequency emitted by source, u=speed of source, and v= wave speed)

That's the equation to use here. Plug in the variables for the 2 situations given, to get 2 equations in the 2 "unknowns" fs and u. Ultimately you want an expression for fs that does not contain u.
 
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