Doppler effect

If a train sound and an observer are moving relative to each other, the frequence of the sound is not the same as the original frequence.

By the change of the sound, we can determine whether the train is coming nearer or moving farther apart. If we measure the ratio of change of the sound, we can determine the train's speed.

This is called "Doppler effect"

When an observer is stationary,

f' ( the frequence received as the train is moving)

f ( the source frequence )

v ( train velocity )

u (the source velocity )