Speed of Sound in a Solid

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]

Speeds of Various Compositions

Examples

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