Harmonics terminology for an open-closed tube

In summary, an open-closed tube is a tube that is open on one end and closed on the other, resulting in different harmonics and sound frequencies. The fundamental frequency of an open-closed tube is the lowest frequency that can be produced, determined by its length and the speed of sound. The length of the tube affects its harmonics by determining the wavelengths of the standing waves. The harmonics of an open-closed tube are multiples of the fundamental frequency and are determined by the tube's length. An open-closed tube has odd-numbered harmonics only, while a closed-closed tube has both odd and even-numbered harmonics due to its different boundary conditions.
  • #1
jumbogala
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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

 
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  • #2
m=3 is the second harmonic because when m=2 then it's a closed tube.
 

What is an open-closed tube?

An open-closed tube is a tube that is open on one end and closed on the other. This means that one end of the tube is free to vibrate, while the other end is fixed, resulting in different harmonics and sound frequencies.

What is the fundamental frequency of an open-closed tube?

The fundamental frequency of an open-closed tube is the lowest frequency that can be produced by the tube. It is determined by the length of the tube and the speed of sound in the medium it is placed in.

How does the length of an open-closed tube affect its harmonics?

The length of an open-closed tube affects its harmonics by determining the wavelengths of the standing waves that can be produced within the tube. Longer tubes will have longer wavelengths and therefore lower harmonics, while shorter tubes will have shorter wavelengths and higher harmonics.

What are the harmonics of an open-closed tube?

The harmonics of an open-closed tube are the different frequencies of sound that can be produced within the tube. These frequencies are multiples of the fundamental frequency and are determined by the length of the tube.

How does an open-closed tube compare to a closed-closed tube in terms of harmonics?

An open-closed tube and a closed-closed tube have different harmonics due to their different boundary conditions. An open-closed tube has odd-numbered harmonics only, while a closed-closed tube has both odd and even-numbered harmonics. This is because the open end of an open-closed tube allows for displacement, while the closed end of a closed-closed tube does not.

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