Organ Pipe Harmonic Frequencies and Pipe Length Calculation

In summary, an open pipe is a pipe that is open at both ends and allows for free flow of air or fluid, while a closed pipe is sealed at one end and prevents flow. In terms of sound production, open pipes produce a fundamental frequency and overtones, while closed pipes only produce a fundamental frequency due to differences in resonance and standing waves. Real life examples of open pipes include flutes, whistles, and organ pipes, while closed pipes can be found in instruments like clarinets, oboes, and panpipes. In science, open and closed pipes have various applications such as in the study of sound waves, fluid dynamics, and acoustics, as well as in musical instruments and industrial processes.
  • #1
jackleyt
20
0

Homework Statement


An organ pipe has two successive harmonics with frequencies 1760 Hz and 2160 Hz. Is this an open or stopped pipe? Which two harmonics are these? What is the length of the pipe?


Homework Equations


L=v/2f


The Attempt at a Solution


I'm really just having trouble with the first question. How can you tell what kind of pipe it is?
 
Physics news on Phys.org
  • #2
For closed pipe, nth harmonic is
fn = (2n-1)fo, where fo is the fundamental frequency.
And f(n+1) = (2n+1)fo,
Solve for n. If n is integer, the pipe is closed. Otherwise it is open.
 

Related to Organ Pipe Harmonic Frequencies and Pipe Length Calculation

1. What is an open pipe?

An open pipe is a type of pipe or tube that is open at both ends, allowing air or fluid to flow through it freely.

2. What is a closed pipe?

A closed pipe is a type of pipe or tube that is sealed at one end, preventing air or fluid from flowing through it.

3. How do open and closed pipes differ in terms of sound production?

Open pipes produce a fundamental frequency and overtones when air is blown into them, while closed pipes only produce a fundamental frequency. This is due to the differences in resonance and standing waves in each type of pipe.

4. What are some examples of open and closed pipes in real life?

Examples of open pipes include flutes, whistles, and organ pipes. Closed pipes can be found in instruments such as clarinets, oboes, and panpipes.

5. What are the applications of open and closed pipes in science?

Open and closed pipes have various scientific applications, such as in the study of sound waves, fluid dynamics, and acoustics. They are also used in musical instruments and industrial processes.

Similar threads

Harmonic Series Emission in Organ Pipe Sound Sources
Replies
8
Views
1K
Determining if a pipe is open or closed from given the resonant frequencies
Replies
9
Views
17K
Find fundamental freq. and 1st overtone closed each end pipe
Replies
4
Views
2K
Waves in a closed organ pipe (homework check)
Replies
3
Views
2K
Find Length of Closed Pipe for Equal Frequency
Replies
4
Views
2K
Resonance in Organ Pipes: Exploring the Effects of Water on Standing Waves
Replies
10
Views
2K
How to find the wavelength of the sound of the tuning fork?
Replies
15
Views
8K
Organ Pipe Resonance - How long is the pipe?
Replies
10
Views
3K
Beat frequency and length question. (grade 11)
Replies
19
Views
2K
What Determines the Speed of Sound in an Organ Pipe?
Replies
31
Views
3K

Hot Threads

Recent Insights

Back
Top