A commuter train passes a passenger platform at a constant speed of 38.0 m/s. Th

Question

A commuter train passes a passenger platform at a constant speed of 38.0 m/s. The train horn is sounded at its characteristic frequency of 320 Hz.
(a) What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? (Indicate whether the frequency increases of decreases with the sign of your answer.)
__________ Hz

(b) What wavelength is detected by a person on the platform as the train approaches?
_______ m

please show all work by plugging in values! Thanks

Explanation / Answer

Assuming sound velocity c = 343 m/s, f0 = 320 Hx. A. f (approaching) = f0*c/(c-ve) = 356.3636 Hz f (receding) = f0*c/(c+ve) = 290.3704 deltaF = 65.9933 Hz B. lambda = c/f0 * (c-ve)/c = 0.9625 m

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