A motorcyclist is traveling 31 m/s due west relative the ground. A fire truck is traveling on the same road, going east at 41 m/s and away from the motorcyclist, having already passed it going the opposite direction. If the fire truck siren sounds at 575 Hz, what frequency does the motorcyclist hear? Sound speed in air: 342 m/s.

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A motorcyclist is traveling 31 m/s due west
relative the ground. A fire truck is traveling on the
same road, going east at 41 m/s and away from
the motorcyclist, having already passed it going
the opposite direction. If the fire truck siren
sounds at 575 Hz, what frequency does the
motorcyclist hear? Sound speed in air: 342 m/s.
Transcribed Image Text:A motorcyclist is traveling 31 m/s due west relative the ground. A fire truck is traveling on the same road, going east at 41 m/s and away from the motorcyclist, having already passed it going the opposite direction. If the fire truck siren sounds at 575 Hz, what frequency does the motorcyclist hear? Sound speed in air: 342 m/s.
Expert Solution
Introduction:

We are given velocity of motorcyclist and truck. We are given frequency of the sound. We are also given speed of sound in air. Since both truck and bike are moving in opposite direction away from each other, the apparent distance increases. Hence the apparent frequency decreases. We hence find this frequency.

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