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The frequency of a steam train whistle as it approaches you is 552 Hz. After it passes you, its frequency is measured as 486 Hz. How fast was the train moving (assume constant velocity)?

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musiclover10045

Approaching frequency= 552 Hz  

Passing frequency = 486 Hz  

The actual whistle frequency is (552 + 486)/2 Hz = 519 Hz  

Assume the speed of sound = 340 m/s  

Using the Doppler formula: (519/486) -1 = 0.0679

The train speed  = 0.0679 * 340 m/s = 23.09  m/s

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