Free Doppler Frequency Calculator

Calculate the observed frequency due to the Doppler effect: f_obs = f_source * (c + v_observer) / (c + v_source), with sign convention for approach/recession.

Hz
m/s
m/s
m/s

Observed Frequency

404.6113 Hz

Frequency Shift-35.3887 Hz

Observed Frequency vs Source Frequency

Doppler Effect for Sound

The Doppler effect shifts the observed frequency when the source or observer is moving relative to the medium.

Formula

f_obs = f_s * (c + v_obs) / (c + v_src)

Sign convention: v_obs is positive when moving toward the source; v_src is positive when moving away from the observer.

  • Source approaching: lower denominator, higher f_obs
  • Source receding: higher denominator, lower f_obs
  • Example Calculation

    A 440 Hz siren moves away at 30 m/s, observer stationary.

    1. 01f_obs = 440 * (343 + 0) / (343 + 30)
    2. 02f_obs = 440 * 343 / 373
    3. 03f_obs = 440 * 0.9196
    4. 04f_obs = 404.6 Hz (lower pitch)

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