You are driving down a road at a constant speed of 17.8 m/sand another car drive

Question

You are driving down a road at a constant speed of 17.8 m/sand another car drives toward you. (The other car is in the otherlane, but you can ignore the slight lateral difference in the pathsand treat the problem as if the car drives directly toward you. Orelse assume that you are foolishly playing "chicken" and itis driving directly toward you.) The other car hasa constant speed of 20.1 m/s from the viewpoint of someonestanding by the side of the road. If you sound your horn at455 Hz, what frequency do the people in the other carhear?

Explanation / Answer

Given v = 17.8 m / s          v ' = 20.1 m/ s Speed of sound V = 343 m / s Actual frequency f = 455 Hz Frequency do the people in the other car hear f ' = [ (V+ v ' ) / ( V - v ) ] f                                                                           =[ ( 343+20.1) / ( 343-17.8) ] 455                                                                          = [363.1 / 325.2] 455                                                                          = 508.02 Hz

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