Question

. How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15ºC? Its original height is 321 m and you can assume it is made of steel.book answer is 0.058 m

Answer 1

Given,

Change in the temperature, ΔT=15 °C

The original height of the tower, L=321 m

The formula for the coefficient of thermal expansion is,

`\alpha=(\Delta L)/(L*\Delta T)`

Where ΔL is the change in the length of the tower due to a change in the temperature ΔT

The coefficient of linear expansion for steel is 11×10⁻⁶ /°C

On rearranging the equation and substituting the known values,

`\Delta L=\alpha* L*\Delta T=11*10^(-6)*321*15=0.053\text{ m}`

Therefore at the end of the day, the increase in the height of the tower is 0.053 m