   Chapter 14, Problem 25P

Chapter
Section
Textbook Problem

The Doppler EffectA baseball hits a car, breaking its window and triggering its alarm which sounds at a frequency of 1250 Hz. What frequency is heard by a boy on a bicycle riding away from the car at 6.50 m/s?

To determine
The frequency is heard by a boy on a bicycle riding away from the car

Explanation

Given Info: frequency of triggering is 1250 Hz, velocity of car is 6.50m/s and velocity of sound is 343m/s

Formula for frequency heard by the boy,

f0=f(v+v0vvs)

• f  is frequency of alarm.
• v0 is the velocity of car
• v is the speed of the sound
• vs is the velocity of the observer

The alarm producing sound is stationary but the boy is moving away from the alarm producing sound. So, v0=6.50m/s Negative sign indicates the observer is moving away from the source.

Substitute 1250 Hz for f, 6

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