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,
[tex]\alpha=\frac{\Delta L}{L\times\Delta T}[/tex]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,
[tex]\Delta L=\alpha\times L\times\Delta T=11\times10^{-6}\times321\times15=0.053\text{ m}[/tex]Therefore at the end of the day, the increase in the height of the tower is 0.053 m
