Physics

Calculate the percentage increase in length of a wire of diameter 2.2 mm stretched by a load of 100 kg.Young's modulus of wire is 12.5 × 10^10 N/m^2

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  1. https://www.ajdesigner.com/phpstress/stress_strain_equation_stress.php

    r =1.1*10^-3 meter
    A = pi r^2 = 3.8 * 10^-6 m^2
    F = m g =100*9.81 = 981 Newtons
    stress = sigma= F /A = 981/3.8*10^-6 = 258 * 10^6 N/m^2

    change in length/length = stress/Young's = 258*10^6 / 12.5*10^10 = 20.6*10^-4
    multiply by 100 for percent
    20.6*10^-2 = 0.206 percent
    check my arithmetic

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