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Calculators / Science / Doppler shift from a moving source

Doppler shift from a moving source calculator

Estimate frequency heard by a stationary observer when a sound source moves toward or away from them.

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Your result

Observed frequency1,095.85Hz
Frequency shift95.85Hz

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How to calculate

Estimate frequency heard by a stationary observer when a sound source moves toward or away from them.

Observed frequency = f*c/(c-v) Hz; Frequency shift = f*c/(c-v)-f Hz

Worked example

Emitted frequency (Hz): 1000; Wave speed (m/s): 343; Source approach speed (m/s): 30.

Observed frequency: 1,095.85 Hz; Frequency shift: 95.85 Hz.

Assumptions and limits

Positive source speed means approach; negative means recession. Uses a stationary medium and observer, with source speed below wave speed; excludes shock waves and relativistic effects.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Estimate frequency heard by a stationary observer when a sound source moves toward or away from them.

When this tool is useful

Observed frequency = f*c/(c-v) Hz; Frequency shift = f*c/(c-v)-f Hz

Understanding your inputs

InputWhat to enter
Emitted frequency (Hz)Enter a number of at least 0 and no more than 1000000000000.
Wave speed (m/s)Enter a number of at least 1e-12 and no more than 1000000000000.
Source approach speed (m/s)Enter a number of at least -1000000000000 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Positive source speed means approach; negative means recession. Uses a stationary medium and observer, with source speed below wave speed; excludes shock waves and relativistic effects.

How is the result calculated?

Observed frequency = f*c/(c-v) Hz; Frequency shift = f*c/(c-v)-f Hz