Velocity of mechanical waves

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SUMMARY

The velocity of mechanical waves through a medium is determined by the square root of the ratio of an elastic property to an inertial property. This fundamental relationship is critical in understanding wave dynamics. Resources such as the Physics Classroom and Wolfram Science World provide further insights into the mechanics of wave velocity. The discussion emphasizes the need for a deeper exploration of the underlying principles governing wave behavior.

PREREQUISITES
  • Understanding of elastic properties in physics
  • Familiarity with inertial properties and their significance
  • Basic knowledge of wave mechanics
  • Ability to interpret mathematical relationships in physics
NEXT STEPS
  • Research the mathematical derivation of wave velocity in different media
  • Explore the relationship between elasticity and wave speed in solids
  • Learn about the impact of density on wave propagation in fluids
  • Investigate real-world applications of wave velocity in engineering and physics
USEFUL FOR

Students of physics, educators teaching wave mechanics, and professionals in engineering fields focused on wave dynamics will benefit from this discussion.

toam
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Ok, so the velocity of mechanical waves through a medium is equal to the square root of some elastic property divided by some inertial property...

I did a quick search on google and a couple of textbooks and cannot find any actual explanation as to why this is. It is intuitive, yes, but surely there is a decent explanation somewhere?
 
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Not sure exactly what you want, but for a http://www.physicsclassroom.com/Class/sound/U11L1a.html" description.

If you want http://www.mcasco.com/p1mw.html" .

If you want the http://scienceworld.wolfram.com/physics/WaveVelocity.html" .

If you want to know about http://www.vims.edu/physical/research/TCTutorial/longwaves.htm" , (not tidal), this goes into some description about what the water is actually doing in waves in general, tide waves in particular.
 
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