Posted by Anonymous on Sunday, March 25, 2012 at 12:43pm.
when the car is behind the train, the listener in the car is approaching the sound source in the train at 36-16 = 20 m/s
The listener will hear a higher frequency.
when the car is ahead of the train, the listener in the train is departing from the sound source in the car at 20 m/s and will hear a lower frequency.
In general:
Fl = frequency listener
Fs = frequency source
v = sound speed assume 340 m/s
vl is velocity of listener toward source. It is negative if in direction away from source.
(in part a it is +)
(in part b it is +)
vs is velocity of source. It is negative if opposite to the direction of the listener toward the source
(in part a it is +)
(in part b it is +)
Fl = Fs(v + vl)/(v + vs)
part a
Fcar = Ftrain whistle (340+36)/(340+16)
Fcar = 1.056 Fwhistle
pert b
Ftrain passenger= Fcar (340+16)/(340+36)
Ftrain passenger = .947 F car horn
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