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14 January, 00:33

The Golden Gate Bridge is made of steel and has a span of 1300 m. How much does its length change over the course of a year? Assume the temperature range f the bridge is between 0 degrees C and 30 degrees C.

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  1. 14 January, 00:46
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    0.507 m

    Explanation:

    L = Length of the golden gate bridge = 1300 m

    α = Coefficient of linear expansion of steel = 13 x 10⁻⁶ °C⁻¹

    T₀ = Lower temperature = 0 °C

    T = Higher temperature = 30 °C

    ΔL = Change in length of the golden gate bridge

    Change in length of the golden gate bridge is given as

    ΔL = L α (T - T₀)

    ΔL = (1300) (13 x 10⁻⁶) (30 - 0)

    ΔL = 0.507 m
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