Longitudinal Waves: Compression or Rarefaction at Displacement 0?

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SUMMARY

The discussion clarifies the relationship between longitudinal waves and their graphical representations, specifically focusing on pressure/position and displacement/position graphs. At displacement zero, a longitudinal wave can represent either a compression or rarefaction, depending on the molecular movement. Compression peaks occur when molecules are densely packed, resulting in displacements directed towards the compression point, averaging to zero. Conversely, rarefaction peaks occur when molecules are spread apart, with displacements directed away from the rarefaction point, also averaging to zero.

PREREQUISITES
  • Understanding of longitudinal waves and their properties
  • Familiarity with pressure and displacement graphs
  • Basic knowledge of molecular behavior in wave mechanics
  • Concept of wave displacement and its implications
NEXT STEPS
  • Research the mathematical representation of longitudinal waves
  • Explore the concept of wave interference in longitudinal waves
  • Study the effects of medium density on wave propagation
  • Learn about the applications of longitudinal waves in acoustics
USEFUL FOR

Students of physics, educators teaching wave mechanics, and professionals in acoustics or related fields will benefit from this discussion.

duckandcover
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Why is it that when a longitudinal wave is represented by a (pressure/position) and a (displacement/position) graph does the displacement 0 represent a compression or rarefaction
(maximum or minimum pressure)?
 
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You can think of it as the average of what the molecules are doing there. The compression peaks occur where the molecules are coming together, so the displacements of the molecules are all directed towards that point and they average out to zero. Similarly for rarefaction, except that they are direcected away from that point.
 
turin said:
You can think of it as the average of what the molecules are doing there. The compression peaks occur where the molecules are coming together, so the displacements of the molecules are all directed towards that point and they average out to zero. Similarly for rarefaction, except that they are direcected away from that point.

thanks that clears it up
 

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