Calculating Beat Frequency for Two Loudspeakers

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In summary, the scenario is of two loudspeakers facing each other in a long corridor connected to a source producing a pure tone of 343Hz. A person walks at a speed of 0.7ms-1 from one speaker to the other, and the question is about the beat frequency he hears. The beat frequency is equal to the difference between the two frequencies, which in this case would be 343Hz minus the second frequency. Using the Doppler effect, the expression for the apparent frequency of the source heard by the observer can be written while moving between the two speakers.
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inflames829
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Homework Statement


Two loudspeakers face each other at opposite ends of a long corridor. They are connected to the same sourrce that produces a pure tone of 343Hz. A person walks from one speaker towards the other at a speed of 0.7ms-1
What beat frequency does the person hear?
speed of sound= 343ms-1


Homework Equations





The Attempt at a Solution


I know the beat frequency equals the frequency of one take the frequency of the second. So if this is right does that mean it is 343 minus the second frequency. Can someone pleasae tell me if this is correct and any hints on how to work out the second frequency please. Thankyou
 
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  • #2
Using the doppler effect wright down the expression for the apparent freqency of the source heard by the observer while moving from one speaker to another. Note that he is going away from one speaker and moving towards the other.
 
  • #3
thanks for the help. I got the right answer
 

What is beat frequency?

Beat frequency is the difference in frequency between two sound waves that are interfering with each other. It is perceived as a pulsing or throbbing sound.

How do you calculate beat frequency for two loudspeakers?

To calculate beat frequency, you need to know the frequency of each speaker and subtract them from each other. The resulting number will be the beat frequency.

Why do two loudspeakers create a beat frequency?

When two sound waves with slightly different frequencies overlap, they interfere with each other, creating areas of reinforcement and cancellation. This interference causes the beat frequency to be produced.

Can beat frequency be adjusted?

Yes, the beat frequency can be adjusted by changing the frequency of one of the speakers. The closer the frequencies are to each other, the faster the beat frequency will be.

How is beat frequency used in music?

In music production, beat frequency is used to create interesting effects and textures in songs. It is also used in tuning instruments to ensure they are in harmony with each other.

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