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12 February, 10:52

Aluminum has a coefficient of linear expansion of 2.4x10^-5 C^-1 and a coefficient of volume expansion of 7.2x10^-5 C^-1. An aluminum wire at 20 degrees C has a length of 10 m and a cross-sectional area of 1 cm^2. It is then heated to 100 degrees C. What is the new length of the wire?

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  1. 12 February, 12:33
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    New length = 10.2 m

    Explanation:

    Let ΔL = change in length

    ΔT = change in the temperature

    L (0) = intial length

    α = coeffient of linear expansion

    Then

    ΔL = αL (0) ΔT

    = (2.4*10^-5) (10) (100-20)

    =0.0192 m

    New length = L (0) + ΔL

    = 10 + 0.0192

    = 10.2 m
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