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Doppler Effect Calculator

Compute observed frequency f′ = f·(v+vₒ)/(v−vₛ) for sound.

Input Data

Input Source freq f.
Hz
Input Sound speed v.
m/s
Input Observer speed vₒ (toward +).
m/s
Input Source speed vₛ (toward +).
m/s

Results

440Hz
f′ = f·(v+vₒ)/(v−vₛ).

At a glance:Doppler Effect Calculator: enter parameters to compute results; complements related calculators.

Formula

f′ = f·(v+vₒ)/(v−vₛ).

vₒ toward source, vₛ toward observer (approach positive).

How to Use

  1. Enter source frequency, sound speed and both speeds (approach positive).
  2. It returns observed frequency.

Case Studies

f=440, v=340, vₒ=34 → f′=484 Hz

f′ = 440·374/340 = 484 Hz (rising pitch when approaching).

FAQ

Why does an approaching train sound higher?

Wavefronts arrive denser, raising frequency—the Doppler effect.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Doppler Effect Calculator/physics/doppler-sound)。