Constructing a Tubular Bell Array: Solving the Wave Equation

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Homework Help Overview

The discussion revolves around constructing a tubular bell array and formulating the wave equation specific to tubes, contrasting it with the wave equation for strings. The original poster seeks assistance in understanding how to derive the wave equation for tubular structures and subsequently determine the frequencies for standing waves.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the wave equation for tubes and that for strings, with some questioning the dependencies of wave propagation velocity in this context.

Discussion Status

The discussion is ongoing, with some participants providing insights about the wave equation for open-ended tubes and the nature of wave propagation velocity. However, there is no explicit consensus on the original poster's specific queries regarding the formulation of the wave equation.

Contextual Notes

Participants are navigating the complexities of sound wave behavior in tubular structures, with a focus on the theoretical aspects of wave equations and their practical implications in constructing the bell array.

ELESSAR TELKONT
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I have the next theoretical-practical problem. I have to build a tubular bell array (like that at symphonic orchrestas) with tubes (not rods) of aluminium or copper. The principal problem I have is I don't know how to state the wave equation for a tube (I have done it for a string). How I do it?

When I have the wave equation stated I must get the frecuencies to get a standing wave. Obviously this is what I want.

Could you help me?
 
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If the bells are open at both ends, the wave equation is the same as for strings.
 
Ok but of what quantities the velocity of propagation depends on that's my problem.
 
The velocity of propagation is the velocity of sound.
 

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