Fastest Terrestrial Sound Conduction Speed

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Discussion Overview

The discussion centers around the fastest terrestrial sound conduction speed, exploring various materials and their properties that influence sound velocity. Participants examine theoretical aspects, empirical data, and specific examples from geology and material science.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest that diamond has a high speed of sound at approximately 12 km/s, with graphene and carbon nanotubes also being potential candidates due to their properties.
  • Typical P-wave velocities in earthquakes range from 5 to 8 km/s, varying by region within the Earth's interior, with speeds up to 13 km/s in the core.
  • Sound waves are identified as compression waves, and the relationship between sound velocity, bulk modulus, and density is expressed mathematically as c = √(K/ρ).
  • Concerns are raised regarding the applicability of Birch's law, particularly in relation to materials under pressure and the implications for sound velocity measurements.
  • A participant questions the validity of Birch's law as a general law derived from limited data points, suggesting a need for further clarification on assumptions in Newton-Laplace theory.
  • Links to external resources are provided to support claims and offer additional context on sound speed in different materials.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the applicability of Birch's law and the relationship between density and sound velocity, indicating that the discussion remains unresolved.

Contextual Notes

There are limitations regarding assumptions made about material properties, the dependence on specific conditions such as pressure, and the scope of empirical data referenced in the discussion.

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Don't know for certain, but diamond's speed of sound is pretty fast (12 km/s). Graphene and carbon nanotubes probably also have a high speed of sound in-plane/along the tube's axis. What you're looking for is a large bulk modulus (a measure of stiffness) and a low density, so your best bet is to look for light, strong materials.
 
Typical values for P-wave velocity in earthquakes are in the range 5 to 8 km/s. The precise speed varies according to the region of the Earth's interior, from less than 6 km/s in the Earth's crust to 13 km/s through the core.
https://en.wikipedia.org/wiki/P-wave P-waves from earthquakes are very low frequency sound waves.

Sound waves are in fact compression waves: http://www.physicsclassroom.com/class/sound/Lesson-1/Sound-is-a-Pressure-Wave

See Birch's law : https://en.wikipedia.org/wiki/Birch's_law which holds for materials not under enormous pressure. Which seems to be somewhat at odds to what @TeethWhitener indicated.
 
jim mcnamara said:
See Birch's law : https://en.wikipedia.org/wiki/Birch's_law which holds for materials not under enormous pressure. Which seems to be somewhat at odds to what @TeethWhitener indicated.

well not entirely, as in the earth, higher density will generally be directly proportional higher pressure, so no problem there
It's just that you can have high density materials that don't need to be under high pressure, eg a block of lead
 
jim mcnamara said:
https://en.wikipedia.org/wiki/P-wave P-waves from earthquakes are very low frequency sound waves.

Sound waves are in fact compression waves: http://www.physicsclassroom.com/class/sound/Lesson-1/Sound-is-a-Pressure-Wave

See Birch's law : https://en.wikipedia.org/wiki/Birch's_law which holds for materials not under enormous pressure. Which seems to be somewhat at odds to what @TeethWhitener indicated.
The velocity of sound has a very simple functional form:
[tex]c=\sqrt{\frac{K}{\rho}}[/tex]
Where c is velocity of sound, K is bulk modulus, and [itex]\rho[/itex] is density.
EDIT: The discrepancy between Birch's law and the Newton-Laplace law (above) really bugged me, so I did some digging, thinking maybe Birch's law was the first few terms of a Taylor series approximating Newton-Laplace. The only thing I could really find were some "Birch Diagrams" from old geology papers, where the empirical linear velocity-density relationship from Birch's law is given by two points per material.
Example: http://onlinelibrary.wiley.com/doi/10.1029/JB078i029p06926/epdf
So here's where I'm stuck (and maybe we need a geologist to sort this out): are they really drawing a general law from two points of data? Because in that case, of course you get a linear relationship. So what gives? Is there some assumption in Newton-Laplace that doesn't apply here? Inhomogeneity, shear, dispersion, etc.? I dunno.
 
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