Acoustic Length in Pipe/Tube Explained - Physics Lab

  • Thread starter Thread starter polaris90
  • Start date Start date
  • Tags Tags
    Acoustic
AI Thread Summary
Acoustic length in a pipe or tube refers to an imaginary measurement that exceeds the actual physical length of the tube. It is calculated using the formula L = λ/4, with higher harmonics being odd multiples of this fundamental length. This concept is crucial for accurately predicting sound behavior in tubes, as it allows for the use of acoustic length in relevant equations. The acoustic length is essential for understanding resonance and sound wave propagation in musical instruments and other applications. Further details and visual explanations can be found on dedicated resources like Flutopedia.
polaris90
Messages
45
Reaction score
0
What is acoustic length in a pipe/tube? On a physics lab, the lab write up mentions it but it doesn't explain what it is. I know it's give by L = λ/4 and higher ones will be odd multiples of the first one. But what does this actually mean and what is it for? I looked it up but couldn't find any information.
Some help would be appreciated.
 
Physics news on Phys.org
hi! polaris90! :smile:

acoustic length of a tube is an imaginary measurement that's longer than the actual length …

you put it into equations (instead of the actual length), and the equations work! :wink:

see eg http://www.flutopedia.com/acoustic_length.htm for details, and lots of pretty pictures​
 
ok, thank you. That was very helpful
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top