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22 March, 18:41

How much taller (in m) does the Eiffel Tower become at the end of a day when the temperature has increased by 17°C? Its original height is 324 m and you can assume it is made of steel.

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  1. 22 March, 19:20
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    324.066096 m.

    Explanation:

    Given that

    height of the tower, h = 324 m

    The increase in temperature,ΔT = 17°C

    We know that coefficient of thermal expansion for steel,α = 12 x 10⁻⁶ C⁻¹

    The increase in height is given as

    Δ h = α h ΔT

    Now by putting the values in the above equation we get

    Δ h = 12 x 10⁻⁶ x 324 x 17 m

    Δ h=66096 x 10⁻⁶ m

    Δ h=0.066096 m

    Therefore the height of the tower become 324.066096 m.
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