Physics

A steel bar has an initial length of 40 meters when the temperature is 20 oC. At what final
temperature will the steel bar have a final length of 40.01 meters? The coefficient of linear expansion of steel is 12E-6 (1/C).

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  1. L = 40 + 12*10^-6/Co(T-20) = 40.01.
    40 + 12*10^-6T - 240*10^-6 = 40.01.
    40 - 0.00024 + 12*10^-6T = 40.01.
    39.99976 + 12*10^-6 = 40.01.
    12*10^-6T = 40.01 - 39.99976 = 0.01024.
    T = 853.333 Degrees C.

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