Find Wavelength of 8cm Closed Pipe: 7th Harmonic

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Homework Help Overview

The discussion revolves around finding the wavelength of sound in an 8 cm closed pipe at the 7th harmonic. The problem involves concepts related to wave mechanics and harmonics in closed systems.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the length of the pipe and the wavelength, questioning whether the calculations pertain to the pipe length or the wavelength itself. There are attempts to clarify the correct formula for calculating wavelength in the context of harmonics.

Discussion Status

Participants are actively engaging with the problem, with some providing calculations and others questioning the assumptions and equations used. There is recognition of the correct application of the formula for a pipe closed at one end, though some participants express uncertainty about the size of the resulting wavelength.

Contextual Notes

There is a mention of the pipe being closed on one end, which is relevant to the harmonic calculations. Participants are also encouraged to verify their understanding of the equations involved.

ThePhysicsXV
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Homework Statement


What is the wavelength of an 8cm closed pipe when it is sounding the 7th harmonic?

Homework Equations


L=λn/4

The Attempt at a Solution


L=(.08m*7)/(4)
L=0.14m
Am I correct?
 
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ThePhysicsXV said:
L=(.08m*7)/(4)
L=0.14m
Am I correct?

check your calculation-are you finding out the pipe length or wavelength?
 
drvrm said:
check your calculation-are you finding out the pipe length or wavelength?
Wavelength
 
drvrm said:
check your calculation-are you finding out the pipe length or wavelength?
Oh yeah wavelength, so is
λ=4L/n
λ=4(.08)/7
Since is 7th harmonic.
λ= .045m
 
ThePhysicsXV said:
Oh yeah wavelength, so is
λ=4L/n
λ=4(.08)/7
Since is 7th harmonic.
λ= .045m
I think its correct!
 
Seems a bit small to me. Is the pipe closed on both ends ? Can you check your relevant equation? Where does it come from ? Do you understand it ? Can you make a drawing ?

[edit] I was mistaken. Your answer is right for a pipe that is closed on one end and open on the other.
 
Last edited:

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