A person with perfect pitch sits on a bus bench listening to the 444 Hz horn of an approaching car. If the person detects a frequency of 480 Hz, how fast is the car moving?
physics - Henry, Tuesday, December 4, 2012 at 7:43pm
F = ((V+Vr)/(V-Vs))*Fs = 480 Hz.
((343+0)/(343-Vs))*444 = 480
((343)/(343-Vs))*444 = 480
152292/(343-Vs) = 480
164640-480Vs = 152,292
-480Vs = 152,292-164,640 = -12,348
Vs = 25.725 m/s.
physics - Henry, Tuesday, December 4, 2012 at 7:54pm
F = Frequency as heard by receiver(man).
V = Velocity of sound in air.
Vr = Velocity of the receiver(man).
Vs = Velocity of source(car).
Fs = Frequency of source.