1) A high speed train is traveling at a speed of 45 m/s when the engineer sounds

Question

1) A high speed train is traveling at a speed of 45 m/s when the engineer sounds the 411 Hz warning horn. The speed of sound is 340 m/s. What is the frequency of the sound as perceived by a person standing on at the crossing when the train is approaching?

f =?

2) What is the wavelength of the sound as perceived by a person standing on at the crossing when the train is approaching?

wavelength =?

3) What is the frequency of the sound as perceived by a person standing on at the crossing when the train is leaving?

f =?

4) What is the wavelength of the sound as perceived by a person standing on at the crossing when the train is leaving?

wavelength =?

Explanation / Answer

1) f = fo [(c + vr) / (c + vs)] = 411 * 340 / (340 - 45) = 473.7 Hz

2) = c/f = 340 / 473.7 = 0.72 m

1) f = fo [(c + vr) / (c + vs)] = 411 * 340 / (340 + 45) = 363 Hz

2) = c/f = 340 / 363 = 0.94 m

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