ACOUSTICS & VIBRATIONS

Acoustic Doppler in stationary media

calculates the change in received frequency when the observer and the sound source move along the line connecting them.

f′=fc+voc−vsf'=f\frac{c+v_o}{c-v_s}

symbols, variables and units

c: speed of sound; v_o: speed of the observer toward the sound source; v_s: speed of the sound source toward the observer, m/s.

applicable conditions and boundaries

Classic sound wave, uniform stationary medium, subsonic speed; the velocity takes the radial component.

formula source code

The following is a copyable LaTeX expression.

f'=f\frac{c+v_o}{c-v_s}

Reference and Extended Learning

OpenStax · University Physics Volume 1, Sound ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

Dopplerfrequency shift

Same subject formula

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