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keisanHigh-precision calculations for everyday life and work

Doppler Effect (Sound)

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This calculates the change in frequency due to the Doppler effect of sound.
Sound Source Frequency f0
Hz
Air Temperature T ℃
Source speed Vs
km/h Approaching: +, Receding: −
Observer velocity Vo
km/h Moving away: +, Moving toward: −
Frequency heard by the observer f  Hz
Vs is the speed at which the sound source is approaching the observer, and Vo is the speed at which the observer is moving away from the sound source.
When the sound source approaches the observer at 135 km/h, the note “Do” sounds like the note “Re.” (At an air temperature of 20°C)

\(\normalsize \hspace{20px}f=f_0{\large\frac{v-v_o}{v-v_s}},\hspace{20px}v=(331.5+0.61T)\ m/s\)

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