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# Doppler Effect Calculator and Sound Simulator

This phenomenon is familiar to many people: a source of noise, e.g. an ambulance, passes by, its sound changes from high to low. This is the acoustic Doppler effect. Sound is made of waves, which move at a certain speed. If sound source and listener are approaching to each other, the single waves come in with a smaller distance from each other, the sound appears higher. If sound source and listener are moving away from each other, the single waves come in with a larger distance from each other, the sound appears lower.

Original sound
 Tone pitch: Hertz Length: milliseconds
Can be loud, check sound volume before!

Speed of the listener:

Speed of the sound source:

Appearing sound, when source and listener are approaching to each other:
 Tone pitch: Hertz

Appearing sound, when source and listener are moving away from each other:
 Tone pitch: Hertz

The formula, when source and listener are approaching to each other, is:
fs = fu * (c + vz) / (c - vs)

The formula, when source and listener are moving away from each other, is:
fs = fu * (c - vz) / (c + vs)

fs = frequency of the appearing sound
fu = frequency of the original sound
c = speed of sound
vz = speed of the listener
vs = speed of the source

The speed of sound is 767.27 mph = 343 m/s = 1234.8 km/h

It makes a difference, if source or listener are in motion. When the source moves and the listener is standing still, the tone pitch is higher as if the listener moves with the same speed and the source of sound doesn't.

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