A helicopter drops a paratrooper carrying a siren that emits a 555 Hz audible si

Question

A helicopter drops a paratrooper carrying a siren that emits a 555 Hz audible signal. The microphone (reciever) on the plane mon- itors the signal from the transmitter as the paratrooper falls. If the perceived frequency becomes con- stant at 446 Hz, what is the terminal speed of the paratrooper? Assume the paratrooper always remains below the helicopter and the velocity of sound in air is 343 m/s. Answer in units of m/s A helicopter drops a paratrooper carrying a siren that emits a 555 Hz audible signal. The microphone (reciever) on the plane mon- itors the signal from the transmitter as the paratrooper falls. If the perceived frequency becomes con- stant at 446 Hz, what is the terminal speed of the paratrooper? Assume the paratrooper always remains below the helicopter and the velocity of sound in air is 343 m/s. Answer in units of m/s

Explanation / Answer

from the doppler effect apparent frequency

f = fo* [ ( C + Vr) / (C+Vs)]

446 = 555*[ 343 / (343 + Vs)].

83.82 m/s.

Vs -----velocity of source or paratrooper.

Vr -----velocity of helicopter.

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