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2 November, 14:01

A steel railroad track has a length of 40 m when the temperature is - 5 ◦C. What is the increase in the length of the rail on a hot day when the temperature is 35 ◦C? The linear expansion coefficient of steel is 11 * 10-6 (◦C) - 1. Answer in units of m.

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  1. 2 November, 16:15
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    0.0176m

    Explanation:

    Given that,

    railroad track has a length of 40 m

    temperature is T₁ - 5 ◦C

    temperature is T₂ 35 ◦C

    linear expansion coefficient of steel is 11 * 10-6 (◦C) - 1

    Lo = 40 m

    T₁ = - 5° C

    T₂ = 35° C

    dT = T₂ - T₁

    = 35 - (-5)

    = 40°C

    L = Lo * (1+alpha*dT)

    dL = Lo*alpha*dT

    dT = 40°C

    alpah = 11 x 10⁻⁶

    Lo = 40 m

    dL = 40 * 11 x 10⁻⁶ * 40

    = 0.0176m
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