A vertical steel piano wire of lenght 1.5m and cross-sectional area 1.3*10^-6m^2 supports a load of 80N. Given that the Youngs Modulus for steel=2.10*10^11Pa
Calculate the extension in the wire produced by this load
Calculate the extension in the wire produced by this load
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stress = load /c.s.area = 80 / 1.3 * 10^-6 = 6.15 * 10^7 N/m² [Pa]
Young's Modulus = stress / strain so
strain = stress / Young's Modulus = (6.15 * 10^7 Pa) / (2.10 * 10^11 Pa) = 2.93 * 10^-4
strain = extension / original length
extension = strain * original length = 2.93 * 10^-4 * 1.5 m = 4.4 * 10^-4 m { 0.44 mm}
Young's Modulus = stress / strain so
strain = stress / Young's Modulus = (6.15 * 10^7 Pa) / (2.10 * 10^11 Pa) = 2.93 * 10^-4
strain = extension / original length
extension = strain * original length = 2.93 * 10^-4 * 1.5 m = 4.4 * 10^-4 m { 0.44 mm}
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easy i guess