Interference of Sound Waves in a Circular Tube

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Homework Help Overview

The discussion revolves around the interference of sound waves in a circular tube, specifically examining how different frequencies affect the level of interference observed at a receiver point. The problem involves sound waves with a frequency of 2300 Hz and explores the implications of lowering the frequency to 230 Hz and 23 Hz.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the circumference of the tube and relate it to the wavelength to determine the interference pattern. They question whether the change in frequency affects the interference level, suggesting that lower frequencies might not change the interference due to their relationship as multiples of the original frequency.

Discussion Status

Some participants are engaging with the original poster's calculations and assumptions, prompting them to clarify their results. There is a suggestion to reconsider the impact of frequency changes on interference, indicating a productive exploration of the topic.

Contextual Notes

One participant expresses urgency due to an upcoming exam, indicating a potential constraint on time for understanding the concepts discussed. Additionally, there is a reference to sound wave behavior when transitioning between different media, which may introduce further complexity to the discussion.

JeanDucreaux
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1. A sound wave with frequency f = 2300Hz is sent into a circular tube of radius R=160cm through an opening at some point A.
A receiver lies at point B, separated from A by an angle α=130°. The speed of sound in air is v=330 m/s.
Sound propagates from A to B in both directions along the tube.
(a) What level of interference do you observe at B?
(b) What happens if the frequency is lowered to f1=230 Hz?
(c) And to f2= 23Hz?

2. I guess, I have to calculate the periphery of the circle with given R, and hence divide Δx with λ, which would give me n. If its closer to a whole number, it would result in a constructive interference. With questions (b) and (c), my guess is, that it does not change the level of interference, since 230 and 23 are multiple integers of 2300 (factor 10).
 
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Hello Jean, and welcome to PF.

Well, what do you find under (a)? What's against showing your results ?
And for (b) and (c) I wouldn't guess, but either see that yes, it is as you suspect, or no, factors of 10 can make a considerable difference!
 
can u guys help me pls?
i got an exam tomorrov and I really need your help!
When the sound goes from surface to another(for example from water to air) what satys the same
a)period b)amplituda c) elongacioni d) frekuenc
 

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