029 (part 1 of 2) 10.0 points The equation for the Doppler shift of a sound wave

Question

029 (part 1 of 2) 10.0 points 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 away from a detector fixed to the ground, at 40 m/s, blows a horn which has a rest frequency of 276 Hz What frequency would be found by such a detector, or a detector on a another, but stationary train? The velocity of sound in air is taken to be 343 m/s. Answer in units of Hz 030 (part 2 of 2) 10.0 points What frequency is detected by a train mov- ing away from the first train at a speed of 16 m/s with respect to the ground? Answer in units of Hz

Explanation / Answer

29.

Vs = - 40 m/s

f = 276 Hz

Vd = 0 m/s

V = speed of sound = 343 m/s

f' = f ((V + Vd)/(V - Vs)

f' = (276) ((343 + 0)/(343 - (- 40)))

f' = 247.2 Hz

2)

Vs = - 40 m/s

f = 276 Hz

Vd = - 16 m/s

V = speed of sound = 343 m/s

f' = f ((V + Vd)/(V - Vs)

f' = (276) ((343 + (- 16))/(343 - (- 40)))

f' = 235.6 Hz

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