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The equation for the Doppler shift of a sound wave of speed v reaching a moving

ID: 2236393 • Letter: T

Question

The equation for the Doppler shift of a sound wave of speed v reaching a moving detector is where vd is the speed of the detector, vs is the speed of the source, f is the frequency of the source, and f' is the frequency at the detector. If the detector moves toward the source, vd is positive; if the source moves toward the detector, vs is positive. A train moving toward a detector at 26 m/s blows a 345 Hz horn What frequency is detected by a stationary train? The velocity of sound is 343 m/s. Answer in units of Hz What frequency is detected by a train moving toward the first train at a speed of 25 m/s? Answer in units of Hz

Explanation / Answer

1) f'=f*(Vs+Vd)/(Vs-Vt)=345*343/(343-26)=373 hz

2) f'=f*(Vs+Vd)/(Vs-Vt)=345*(343+25)/(343-26)=400.50 hz

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