Closed End Tubes: Length, End Correction & Resonance

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In summary, the conversation discusses the details of tuning a closed end tube, including the use of a sliding collar, stopper, or coning the mouth. It is mentioned that a wrong length of tube can be cut, but the correct length can also be achieved. The question arises whether an end correction is needed when cutting to the correct length, and if the anti-node should be at the mouth. It is concluded that the end correction should be taken into account when cutting the tube for the correct frequency resonance at a certain volume of air and temperature.
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BHarvey
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I been doing a lot of research on this subject and have learned a great deal, but there are a few details I need some answers on. From what I have read, you can have a wrong length of closed end tube, and you will need to tune it by means of a sliding collar, stopper, or coning the mouth. So, if you can cut one the wrong length, then obviously you can cut one the correct length as well. If cutting to a correct length, do you still need an end correction, or is this what you are taking into account when cutting?
On a resonance tube, for a certain frequency to cause it resonate at a certain volume of air, at a certain temperature, if this the true center of the anti-node?

Do you want the anti-node at the mouth?

Thanks.
 
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  • #2
Yes, I believe this is what I'm looking for. So, if the anti-node is at the mouth, then when cutting the tube, you would need to take into account the end correction, since this would affect the overall length of the tube and thus the frequency it resonates at?
 
  • #3


First of all, it's great that you have been doing research on closed end tubes and have learned a lot. To answer your questions, yes, it is possible to cut a closed end tube to the wrong length. This can result in the tube not producing the desired resonance or frequency. In order to correct this, as you mentioned, you can use a sliding collar, stopper, or coning the mouth to adjust the length and achieve the desired resonance.

When cutting a closed end tube to the correct length, it is still important to take into account the end correction. This correction factor accounts for the additional length needed due to the closed end of the tube, which affects the resonance frequency. The exact amount of end correction needed will depend on the specific dimensions and materials of the tube.

As for your question about the true center of the anti-node, it is typically located at the open end of the tube, not the closed end. This means that the anti-node is not at the mouth, but rather at the open end where the sound waves can escape. The length of the tube and the position of the anti-node are important factors in determining the resonance frequency.

I hope this helps clarify some of your questions. Keep up the research and experimentation, and you will continue to learn more about closed end tubes and their properties.
 

Related to Closed End Tubes: Length, End Correction & Resonance

1. What is a closed end tube?

A closed end tube is a type of pipe or tube with one end sealed off and the other end open. This creates a resonating chamber when air is blown through the tube, producing a specific sound or pitch.

2. How does the length of a closed end tube affect its resonant frequency?

The length of a closed end tube directly affects its resonant frequency. The longer the tube, the lower the resonant frequency, and the shorter the tube, the higher the resonant frequency. This is due to the relationship between the wavelength of the sound wave and the length of the tube.

3. What is end correction in a closed end tube?

End correction refers to the adjustment in length that needs to be made to a closed end tube in order to accurately determine its resonant frequency. This is because the end of the tube acts as a boundary for the sound wave, causing the effective length of the tube to be slightly longer than its physical length.

4. How is the resonant frequency of a closed end tube calculated?

The resonant frequency of a closed end tube can be calculated using the formula f = (n/2L) * v, where n is the mode number (1, 2, 3, etc.), L is the length of the tube, and v is the speed of sound in the medium (air in most cases). This formula takes into account the relationship between the length of the tube and the wavelength of the sound wave.

5. What factors can affect the resonant frequency of a closed end tube?

The resonant frequency of a closed end tube can be affected by several factors, including the length of the tube, the diameter of the tube, the material of the tube, and the temperature and humidity of the surrounding air. Changes in any of these factors can alter the resonant frequency, so it is important to control these variables when conducting experiments with closed end tubes.

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