# Frequency of a steam train whistle: How fast is the train moving?

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The frequency of a steam train whistle as it approaches you is 538Hz. After it passes you, its frequency is measured as 509 Hz., how fast the train moving (assume constant velocity)? Assume the speed of sound is 343m/s.

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Let f_L be frequency at the listener, f_s be frequency of the sound, v be the speed of the sound in air, v_s be the speed of the train.

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