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I need help manipulating the equation for the doppler effect?
The original equation is fd=(vw/(vw+/-vs)) fs
fd=apparent frequency
vw=velocity of the wave, or the speed of sound
vs=velocity of the source, +if its moving away from you, - if its moving toward you
fs=actual frequency
so if i have to solve for vw, what would the formula look like, and how did you figure it out? and for vs?
2 Answers
- PearlsawmeLv 79 years agoFavorite Answer
We shall use vw as C and Vs as simply V
fd= C fs / (C ± vs)
fd * (C ± vs) = C fs
fd * C ± fd * vs = C fs
fd * C - C fs = (minus or plus) fd * vs
C * (fd - fs) = (minus or plus) fd * vs
C = (minus or plus) fd * vs / (fd - fs)
Where +if its moving away from you, - if its moving toward you
=============================
And
(minus or plus) fd * vs = C *(fd - fs)
Vs = C *( fd - fs ) / (minus or plus) fd
Where +if its moving away from you, - if its moving toward you
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