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6 November, 12:49

A steel aircraft carrier is 403 m long when moving through the icy North Atlantic at a temperature of 1.22 °C. By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of 24.0 °C?

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  1. 6 November, 16:09
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    it expands by 11 cm.

    Explanation:

    First we need the coefficient of linear thermal expansion of steel

    a = 12e-6/K

    Now we use the equation for linear thermal expansion

    L1 = L0 * (1 + a * (t1 - t0))

    Where

    L0: length before expansion

    L1: expanded length

    t0: temperature before expansion

    t1: temperature expanded

    L1 = 403 * (1 + 12e-6 * (24 - 1.22)) = 403.11 m

    It expanded 11 cm.
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