Speed of Sound in a Solid: Difference between revisions
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<math> {V_{s}} = √ (Y/p) </math> | <math> {V_{s}} = √ (Y/p) </math> | ||
Youngs Modulus: <math> Y ={\frac{Stress}{Strain}}</math> | |||
<math> Stress = {\frac{F_{tension}}{Area_{Cross Sectional}}} </math> | |||
For example <math>{\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=== | ===A Computational Model=== | ||
Revision as of 17:13, 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 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]
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
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
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