Frequency Equation: Help Finding an Equation Incorporating Tube Diameter

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To find a frequency equation that incorporates tube diameter, the end correction is essential for standing waves in open or closed tubes. For tubes open at both ends, the frequency is calculated using the formula: frequency = velocity of wave / 2*L, while for tubes open at one end, it is frequency = velocity of wave / 4*L. The corrected length (L) includes the resonating length plus an end correction (e), which is 0.6 times the inner diameter for open tubes at both ends and 0.3 times for those open at one end. When dealing with tubes that have different diameters on each open side, adjustments to the end correction must be made to account for both diameters. Accurate calculations will yield the desired frequency based on the specific dimensions of the tube.
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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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