Speed of Sound in a Solid: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
The speed of sound in solids <math> {V_{s}} </math> can be determined if the solids elasticity (Young's Modulus value) and density ,<math> {p} </math> , is known. | The speed of sound in solids <math> {V_{s}} </math> can be determined if the solids elasticity (Young's Modulus value) and density ,<math> {p} </math>, is known. | ||
<math> {V_{s}} = √ (Y/p) </math> | <math> {V_{s}} = √ (Y/p) </math> | ||
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<math> Stress = {\frac{F_{tension}}{Area_{Cross Sectional}}} </math> | <math> Stress = {\frac{F_{tension}}{Area_{Cross Sectional}}} </math> | ||
<math> Strain = {\frac{ΔL_{wire}}{L_{0}}} </math> | |||
Revision as of 17:18, 1 December 2015
This page discusses calculating the speed of sound in various solids and provides examples of such calculations. Claimed by Dpatel322 @ 12/1
The Main Idea
The speed of sound is the speed that sound wave travels through a particular medium. In comparison to air, sound travels considerably faster in solids. The speed that sound travels in various solids depends on the solid's density and elasticity, as these factors effect the ability of the sound waves vibrational energy to transfer across the solid medium.
A Mathematical Model
The speed of sound in solids [math]\displaystyle{ {V_{s}} }[/math] can be determined if the solids elasticity (Young's Modulus value) and density ,[math]\displaystyle{ {p} }[/math], is known.
[math]\displaystyle{ {V_{s}} = √ (Y/p) }[/math]
Youngs Modulus: [math]\displaystyle{ Y ={\frac{Stress}{Strain}} }[/math]
[math]\displaystyle{ Stress = {\frac{F_{tension}}{Area_{Cross Sectional}}} }[/math]
[math]\displaystyle{ Strain = {\frac{ΔL_{wire}}{L_{0}}} }[/math]
For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
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