Posted in Health-01-02 by admin
on October 6, 2009
Formula Big
I want to learn how to tell the speed of a passing car via doppler sound shift and without using a big formula
I'm hoping that if I can convert the shift in pitch into the distance between 2 musical notes (1=oncoming hz and 2=departing hz), the interval between the 2 notes could show the mph. It could be figured so that the oncomming pitch would always be A 44 Hz.
Thanks in advance.
It would be ideal if a graph could be made showing a range of MPHs, incoming Hz and departing Hz.
Ok, I'm sorry but I have to lay some math on you. It's physics. We. Can't. Stop. Ourselves.
So you are standing on the curb and hear a car coming, lets say that the true frequency is called f_0 (f naught), then the shift is like this:
f = f_0(v/(v+v_s))
where f is the percieved frequency, v is the speed of sound, and v_s is the speed of the car (coming right past you). Near sea level, the speed of sound is pretty close to 340 m/s, and lets say we want the pitch you hear to be one octave up, that is the frequency should double to 88 Hz:
2f_0 = f_0(340/(340+v_s)) ...cancel the f_0s
2 = (340/(340+v_s))
2(340+v_s) = 340
2v_s = -340
v_s = -170
So that says that the source must be moving 170 m/s towards you. That's 380 mph. A graph of this looks like:
f = 1/x
That is, the frequency becomes higher and higher as the object comes towards you faster, whereas it approaches zero if it rushes away fast enough. This makes sense, the waves would bunch up completely if it came at you fast enough, and they would spread farther and farther apart as it moved away.
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