Interference of Sound Waves in a Circular Tube

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SUMMARY

The discussion centers on the interference of sound waves in a circular tube with a radius of 160 cm, where a sound wave of frequency 2300 Hz is analyzed for its interference effects at a receiver located at an angle of 130°. The speed of sound in air is noted as 330 m/s. Participants explore how changes in frequency to 230 Hz and 23 Hz affect interference levels, with initial calculations suggesting that constructive interference occurs when the path difference is close to a whole number of wavelengths. The relationship between frequencies and their multiples is also examined.

PREREQUISITES
  • Understanding of sound wave properties, including frequency and wavelength
  • Knowledge of interference patterns in wave physics
  • Familiarity with circular geometry and its application in wave propagation
  • Basic skills in calculating wave speed using the formula v = fλ
NEXT STEPS
  • Calculate the wavelength of sound waves at different frequencies using the formula λ = v/f
  • Explore the principles of constructive and destructive interference in wave mechanics
  • Investigate the effects of medium changes on sound wave properties, particularly frequency and amplitude
  • Learn about the mathematical modeling of sound wave propagation in circular tubes
USEFUL FOR

Students preparing for physics exams, educators teaching wave mechanics, and anyone interested in the practical applications of sound wave interference in various mediums.

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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