Given:
The height of Effiel tower is h1 = 315 m
The temperature on a cold day is
[tex]T_c=-10^{\circ}C[/tex]The temperature on a hot day is
[tex]T_h=28^{\circ}C[/tex]The linear expansion coefficient is
[tex]\alpha=12\times10^{-6\circ}C^{-1}[/tex]To find: The new height of the tower on a hot day,h2.
Explanation:
The formula to calculate new height is
[tex]\frac{h2-h1}{h1}=\alpha(T_h-T_C)[/tex]
Substituting the values, the new height will be
[tex]\begin{gathered} \frac{h2-315}{315}=12\times10^{-6}(28+10) \\ h2=315.10584 \end{gathered}[/tex]Final Answer: The new height of the tower on a hot day is 315.10584.