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A) A train is moving parallel and adjacent to a highway with a constant speed of

ID: 1471365 • Letter: A

Question

A) A train is moving parallel and adjacent to a highway with a constant speed of 22 m/s. A car is traveling in the same direction as the train at 45 m/s. The car’s horn sounds at 510 Hz and the train’s whistle sounds at 340 Hz. When the car is behind the train what fre- quency does an occupant of the car observe for the train whistle? The speed of sound is 343 m/s. Answer in units of Hz.

B) When the car is in front of the train what frequency does a train passenger observe forthe car’s horn? Answer in units of Hz.

Explanation / Answer

speed of the car = 45 m/s

speed pf train = 22 m/s

frequesncy of whistle = 510 Hz

speed of sound = 343 m/s

1) f=fw(v+vc)/(v+vt)

f = 510(343+45)/(343+22) = 542.136 Hz

2) f = 510*(343-45)/(343+22) = 416.38 Hz

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