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A steel cable 10 m long is pulled in tension with a stress of 350 MPa. Assume that the Young's modulus of the steel cable is about 200 GPa. If only elastic deformation occurs, what is the resultant elongation in cm?

  • science -

    L=10 cm,
    E= 200 GPa=200•10⁹ Pa
    σ=F/A =350 MPa =350•10⁶ Pa
    ε= ΔL/L
    Hook's law E=
    σ=E•ε=E•ΔL/L,
    ΔL= σ•L/ E =350•10⁶•10/200•10⁹ =0.0175 cm

  • science -

    1.75 cm that is the correct one

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