How do you finish rearranging the Doppler shift formula

AI Thread Summary
The discussion centers on rearranging the Doppler shift formula, specifically addressing the formula Fs=F0(1/1+-(vsource/c). The user initially struggles with the correct arrangement and consistently finds the need to divide their answer by two to achieve the correct value for Vsource. It is identified that the user had reversed the frequency ratio, which affected the sign of their results. Despite correcting the ratio, the user still encounters the issue of needing to divide by two to obtain the accurate answer. Clarification on the reasoning behind this division is sought to better understand the calculations involved.
McWilliams
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Homework Statement



i am using the Doppler shift formula Fs=F0(1/1+-(vsource/c) i can rearrange it to an extent but when i use it to find my answer i i need to divide it by two in order to do it, every time. I would just like to understand why this is, or if i am doing it completely wrong.


The Attempt at a Solution


((Fs/F0)-1)*V(sound)=Vsource
but if i turn it into 2Vsource it comes out that i will get the right answer when i divide it by two to get vsource, so please explain why there is a two there.

Please and thank you for your help.
 
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McWilliams said:
((Fs/F0)-1)*V(sound)=Vsource
If I understand your symbols, I think you've got the ratio of the frequencies upside down.
 
Yes, thank you, they were reversed, that created my formula to be positive instead of a negative end number, but i still need to divide Vsource by 2 in order to get the correct answer.
 
McWilliams said:
Yes, thank you, they were reversed, that created my formula to be positive instead of a negative end number, but i still need to divide Vsource by 2 in order to get the correct answer.
Show your work, then.
 

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