Harmonics terminology for an open-closed tube

Click For Summary
SUMMARY

The discussion clarifies the terminology surrounding harmonics in an open-closed tube. The equation λ = 4L/m is used, where m represents the harmonic mode with odd integers (1, 3, 5, 7, ...). The consensus is that m = 1 corresponds to the 1st harmonic, m = 3 to the 2nd harmonic, and m = 5 to the 3rd harmonic, as per the physics professor's explanation. This distinction is crucial for understanding the harmonic series in acoustics.

PREREQUISITES
  • Understanding of wave equations and harmonic frequencies
  • Familiarity with the concepts of open-closed tubes in acoustics
  • Basic knowledge of fundamental modes and harmonic series
  • Ability to interpret mathematical equations related to sound waves
NEXT STEPS
  • Study the derivation of the wave equation for open-closed tubes
  • Learn about the differences between open-open and open-closed tube harmonics
  • Explore the concept of standing waves and their formation in tubes
  • Investigate the application of harmonics in musical acoustics
USEFUL FOR

Students in physics, music educators, and anyone interested in the principles of sound waves and harmonics in acoustics.

jumbogala
Messages
414
Reaction score
4

Homework Statement


When you have an open-closed tube, I was taught in high school that when using the equation

λ = 4L/m, m = 1, 3, 5, 7, ... where m = 1 corresponds to the fundamental mode.

I was taught that m = 1 is the 1st harmonic, m = 3 is the 3rd harmonic, etc.

But my physics prof says m = 1 is the 1st harmonic, m = 3 is the 2nd, m = 5 is the 3rd, and so on. I'm just really confused about which one is right... can anyone explain?


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
m=3 is the second harmonic because when m=2 then it's a closed tube.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
Replies
3
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 15 ·
Replies
15
Views
9K