Question

Two cars have identical horns, each emitting a frequency of $f_{s}=395 Hz.$ One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

Name: Problem 24, Chapter 17: Physics
Uploaded: 2020-04-19T06:32:59-08:00
Duration: 1 min 57 s
Channel: Farnaz Mohseni
Description: Two cars have identical horns, each emitting a frequency of fs=395 Hz. One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

   Two cars have identical horns, each emitting a frequency of $f_{s}=395 Hz.$ One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

Physics

John D. Cutnell,… 9th Edition

Chapter 17, Problem 24

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Solved by Expert Farnaz Mohseni

04/19/2020

Step 1

This can be calculated using the Doppler effect formula for frequency, which is given by: \[f_o = f_s \frac{1}{1 - \frac{v_s}{v}}\] where $f_o$ is the observed frequency, $f_s$ is the source frequency, $v_s$ is the speed of the source, and $v$ is the speed Show more…

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Two cars have identical horns, each emitting a frequency of $f_{s}=395 Hz.$ One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

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Key Concepts

Doppler Effect

The Doppler Effect describes the change in frequency or wavelength of a wave for an observer moving relative to the source of the wave. In this context, the moving car’s horn produces a shifted frequency due to the car moving towards the bystander, which results in the observer perceiving a higher frequency than the emitted one.

Beat Frequency

Beat frequency is the result of the interference between two similar frequencies, and it is calculated as the absolute difference between them. Here, the beat frequency is determined by the difference between the Doppler-shifted frequency from the moving car and the unshifted frequency from the parked car.

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