Frequency Equation: Help Finding an Equation Incorporating Tube Diameter

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Homework Help Overview

The discussion revolves around finding an equation for frequency that incorporates the diameter of a tube, particularly in the context of wave resonance in open and closed tubes. The original poster seeks alternatives to the standard velocity-frequency-wavelength relationship.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the concept of "end correction" in relation to standing waves and provide formulas for frequency based on tube length and diameter. The original poster questions how to account for differing diameters at each open end of the tube.

Discussion Status

Some participants have provided formulas related to the frequency of waves in tubes, including considerations for end corrections based on tube diameter. The original poster has raised a further question regarding the implications of having two different diameters, indicating ongoing exploration of the topic.

Contextual Notes

The original poster is working within the constraints of a homework assignment that requires the incorporation of tube diameter into the frequency equation, and there is a specific mention of differing diameters at each end of the tube.

myshiee
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Hey guys! i was wondering if anyone could help me find an equation to find frequency besides using the formula (velocity= frequency*wavelength).
My teacher said that we needed to find an equation that incorporated the use of the tube's diameter. I've been searching online but I can't find one that uses the diameter. Can anybody help me out?
 
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Go for "end correction" for standing waves in open or closed tubes.
 
For resonance tube experiment:

frequency of tuning fork [n] = velocity of wave / 2*L for tube opened at both ends

frequency [n] = velocity of wave / 4*L for tube opened at one ends.

where L [corrected length] = Resonating length + e [end correction]

where e=0.3 * inner diameter of tube for tube opened at one end

and e=0.6* inner diameter for tube opened at both the ends.
 
Grazie!

Thanks for the help!:smile:
However, I forgot to say that for the open tube, there are two different diameters.Each open side has a different diameter. How would I include that in?
 

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