Why Is There an Antinode at the Open End of an Organ Pipe?

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SUMMARY

The discussion clarifies that in an organ pipe, the open end exhibits a displacement antinode and a pressure node. This occurs because gas particles at the open end can move freely, allowing maximum displacement, while the pressure remains stable due to the absence of confinement. The relationship between displacement and pressure in standing waves is emphasized, confirming that an antinode at the open end corresponds to a pressure node.

PREREQUISITES
  • Understanding of standing waves in physics
  • Familiarity with displacement and pressure nodes/antinodes
  • Basic knowledge of organ pipe acoustics
  • Experience with wave behavior in confined mediums
NEXT STEPS
  • Explore the principles of standing waves in different types of pipes
  • Investigate the mathematical representation of wave functions in organ pipes
  • Learn about the effects of pipe length and diameter on sound frequency
  • Examine the use of simulation tools like the Walter Fendt applet for visualizing wave behavior
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, acoustics, and sound engineering. This discussion is also beneficial for educators seeking to explain the concepts of standing waves in organ pipes.

VictoriaWoo
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Homework Statement


Why it is the antinode at the open end?

Homework Equations





The Attempt at a Solution

 
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VictoriaWoo said:

Homework Statement


Why it is the antinode at the open end?

Homework Equations





The Attempt at a Solution


For the standing wave in an organ pipe, displacement nodes correspond with pressure anti-nodes, and displacemment antinodes correspond with pressure nodes.

If you have an antinode at an open end, you must be referring to a displacement antinode [because that is what you get there].

That means a pressure node.

Pressure wise - at an open end, there is no reason for the gas to build up pressure, as it is unconfined.
Displacement wise: being an open end, the gas particles can move in and out at will, so maximum movement is possible → an antinode.

This applet should clarify:
Read carefully, notice which way the particles move and when the particles are crowded together or not.

http://www.walter-fendt.de/ph14e/stlwaves.htm
 

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