Calculating the frequency of an open end pipe?

In summary, an open end pipe is a type of tube or conduit that is commonly used in musical instruments and ventilation systems, with one end open to allow for the passage of air or other substances. The frequency of an open end pipe can be calculated using the equation f = nv/2L, where n is the harmonic number, v is the speed of sound, and L is the length of the pipe. The speed of sound is the measure of how quickly sound waves travel through a medium, and is approximately 343 meters per second in dry air at room temperature. A harmonic number is a whole number that represents the number of half-wavelengths in the length of the pipe. The length of the pipe directly affects the frequency, with
  • #1
Qaiphyx
92
0
How can this be done. I know it has to do with the length, but what about the width? Does that have any bearing?
 
Physics news on Phys.org
  • #2
The pipe diameter has a slight influence because the antinode doesn't form exactly at the open end of the pipe. The effect is very small if the pipe is much longer than it is wide (but you will probably want to account for it if you're tuning a pipe organ!). A quick search on "pipe end correction" gives tons of references.
 

What is an open end pipe?

An open end pipe is a type of tube or conduit that has one end open, allowing air or other substances to pass through it freely. It is commonly used in musical instruments, such as flutes and clarinets, and in ventilation systems.

How do you calculate the frequency of an open end pipe?

The frequency of an open end pipe can be calculated using the equation f = nv/2L, where f is the frequency, n is the harmonic number, v is the speed of sound, and L is the length of the pipe. This equation assumes that the pipe is open at both ends and that there are no obstructions or irregularities in the pipe.

What is the speed of sound?

The speed of sound is a measure of how quickly sound waves travel through a medium, such as air or water. In dry air at room temperature, the speed of sound is approximately 343 meters per second.

What is a harmonic number?

A harmonic number is a whole number that represents the number of half-wavelengths that fit into the length of the pipe. For example, the first harmonic has one half-wavelength, the second harmonic has two half-wavelengths, and so on.

How does the length of the pipe affect the frequency?

The length of the pipe directly affects the frequency, as shown in the equation f = nv/2L. As the length of the pipe increases, the frequency decreases, and vice versa. This is because a longer pipe allows for more half-wavelengths to fit, resulting in a lower frequency.

Similar threads

Replies
5
Views
906
  • Electromagnetism
Replies
5
Views
774
  • Electromagnetism
Replies
1
Views
2K
  • Electromagnetism
2
Replies
59
Views
4K
  • Electromagnetism
Replies
5
Views
825
  • Classical Physics
Replies
5
Views
2K
  • Electromagnetism
Replies
1
Views
828
  • Mechanical Engineering
Replies
33
Views
2K
  • General Engineering
Replies
14
Views
540
Replies
2
Views
2K
Back
Top