The eiffel tower in paris is 300 meters tall on a cold day (t = -24 degrees celsius), what is its height on a hot day when the temperature is 35 degrees? (it is made of iron which has a coefficient of linear expansion of 0.12 per degree celsius.)

Length of Eiffel tower, when the temperature is 35 degrees = 300.21 m

Explanation:

Thermal expansion is given by the expression

Here length of Eiffel tower, L = 300 m

Coefficient of thermal expansion, α = 0.000012 per degree Celsius

Change in temperature, = 35 - (-24) = 59degrees Celsius

Substituting

Length of Eiffel tower, when the temperature is 35 degrees = 300 + 0.2124 = 300.21 m

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