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Doppler Observed Frequency

Estimate a sound-frequency shift along one line.

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Local calculations. Results are estimates, not professional advice.

Observed frequency

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Collinear classical sound model in a stationary medium; positive velocities approach. Not relativistic light Doppler.

Formula

Use fₒ = fₛ(c+vₒ)/(c−vₛ). fₛ is emitted frequency, c is sound speed in the medium, vₒ is observer velocity toward the source, and vₛ is source velocity toward the observer. Velocities share a unit; both moving speeds must be subsonic.

Estimate a sound-frequency shift along one line.

Worked example

Emitted frequency (Hz)
1000
Sound speed in medium (m/s)
343
Observer speed toward source (m/s)
0
Source speed toward observer (m/s)
34.3
Observed frequency
1,111.11111111 Hz

Scope and limitations

Collinear classical sound model in a stationary medium; positive velocities approach. Not relativistic light Doppler.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 8ced4789d112 · Example checked:

Methodology

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