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# worksheet10 - Worksheet #10 - PHY102 (Spr. 2006) The wave...

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Worksheet #10 - PHY102 (Spr. 2006) The wave and difusion equations Due Thursday March 30th In this worksheet we will study two partial diferential equations that are very important in physics. Many wave motions can be described by the linear wave equation. We shall do problems concerning waves on a string, but the equation we study has many other applications. For example atomic vibrations in solids, light waves, sound waves and water waves are all described by similar equations. The linear wave equation ±or the waves on a string is the partial diferential equation, 1 v 2 2 y ( x, t ) ∂t 2 = 2 y ( x, t ) ∂x 2 , (1) where y ( x, t ) is the distance by which the string is displaced at location x , at time t . v = ( T /μ ) 1 / 2 is the wave speed and is related to the tension T and mass density μ o± the string(see Halliday and Resnick ±or the derivation). A second partial diferential equation that is very important in physics is the difusion equation. Atoms in a gas difuse around in a manner described

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## This note was uploaded on 07/25/2008 for the course PHY 102 taught by Professor Duxbury during the Spring '08 term at Michigan State University.

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worksheet10 - Worksheet #10 - PHY102 (Spr. 2006) The wave...

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