A commuter train blows its 200 Hz horn as it approaches a crossing. The speed of...
A commuter train blows its 200 Hz horn as it approaches a crossing. The speed of sound is 330 m/s.
(a) An observer waiting at the crossing receives a frequency of 210 Hz. What is the speed of the train (in m/s)?
(b) What frequency (in Hz) does the observer receive as the train moves away?
Homework Answers
a) fobs / fs = [vw / vw - vs]
210 / 200 = 330 / (330 - vs )
1.05 = 330 / (330 - vs )
(330 - vs ) = 330 / 1.05
vs = 15.7 m/s
b) fobs = f0 [vw / vw + vs]
= 200 [330 / 330 + 15.7]
= 191 Hz
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