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CP A metal wire, with density and Young’s modulus Y, is
Chapter 17, Problem 86P(choose chapter or problem)
CP A metal wire, with density \(\rho\) and Young’s modulus Y, is stretched between rigid supports. At temperature T, the speed of a transverse wave is found to be \(v_1\). When the temperature is increased to \(T+\Delta T\), the speed decreases to \(v_2 < v_1\). Determine the coefficient of linear expansion of the wire.
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QUESTION:
CP A metal wire, with density \(\rho\) and Young’s modulus Y, is stretched between rigid supports. At temperature T, the speed of a transverse wave is found to be \(v_1\). When the temperature is increased to \(T+\Delta T\), the speed decreases to \(v_2 < v_1\). Determine the coefficient of linear expansion of the wire.
ANSWER:Solution 86P The suppose F is the tension on the string at temperature T . If is the density of the material, then the linear mass density of the material is = A F F So the speed of the sound i1 v= =