Question

A car sounding its horn (rated by the manufacturer at 600 Hz) is moving at 15.0...

A car sounding its horn (rated by the manufacturer at 600 Hz) is moving at 15.0 m/s toward the east. A stationary observer is standing due east of the oncoming car.

1) What frequency will he hear assuming that the speed of sound is 343 m/s? (Express your answer to two significant figures.)

2) What if the observer is standing due west of the car as it drives away? (Express your answer to two significant figures.)

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Answer #1

fd=f*(v+vr)/(v-vs).
receiver is moving towards the source: (v+vr).
receiver is moving away from the source: (v-vr).
source is moving towards the receiver: (v-vs).
source is moving away from the receiver: (v+vs).

(a) source is moving towards the receiver: (v-vs)
fd=f*(v+vr)/(v-vs) ,vr=0
fd= 600*343/(343-15)
fd= 627.43 [Hz].

(b) source is moving away from the receiver: (v+vs)
fd=f*(v+vr)/(v+vs) ,vr=0
fd= 600*343/(343+15)
fd= 574.86 [Hz].

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