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The Effiel tower is 315 meters tall on a day when it’s -10 degrees C outside. What is the new height On a hot day when the temperature is 28°C? The tower is made of iron which has a coeffiencent of linear expansion of 12x10^-6 /degrees C

Sagot :

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.