Unless indicated otherwise,

Chapter 16, Problem 49E

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QUESTION:

Problem 49E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

A car alarm is emitting sound waves of frequency 520 Hz. You are on a motorcycle, traveling directly away from the parked car. How fast must you be traveling if you detect a frequency of 490 Hz?

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QUESTION:

Problem 49E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

A car alarm is emitting sound waves of frequency 520 Hz. You are on a motorcycle, traveling directly away from the parked car. How fast must you be traveling if you detect a frequency of 490 Hz?

ANSWER:

Step 1 of 3

We need to find the velocity of the motorcycle as it moves away from the car whose alarm is emitted at a frequency of

It is a clear case of doppler shift. As the motorcycle which is the listener moves away from  the car alarm, the frequency drops.

Listener's frequency:

Source frequency:

Speed of sound:

Speed of sound:

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