// multi-utility computation suite · offline · instant · precise
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sci.doppler-effect Calculator
Calculates the observed frequency shift from the Doppler effect for a moving source or observer relative to the wave medium. A siren moving at 30 m/s toward you at 340 m/s sound speed raises the pitch by ≈9.7% — at recession, it drops by 8.1%.
Inputs
F0
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Vs
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Vo
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
V
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Results
observed frequency (Hz)
Sample size or count used in the calculation.
frequency shift (Hz)
Sample size or count used in the calculation.
% shift
Reference formula or conversion factor shown for context.
source Mach number
Speed relative to the speed of sound. Below 1: subsonic. Equal to 1: sonic. Above 1: supersonic. Above 5: hypersonic. At Mach 1, aerodynamic drag increases dramatically.
pitch
Reference formula or conversion factor shown for context.
f_obs = f₀(v+v_o)/(v+v_s)
Reference formula or conversion factor shown for context.