Question

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 0.000012 per degree Celsius.)

Answer 1

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

Step-by-step explanation:

Thermal expansion is given by the expression

`\Delta L=L\alpha \Delta T \\`

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

`\Delta L=L\alpha \Delta T= 300* 0.000012* 59=0.2124m \\`

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