Question

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

Answer 1

Given:

The height of Effiel tower is h1 = 315 m

The temperature on a cold day is

`T_c=-10^(\circ)C`

The temperature on a hot day is

`T_h=28^(\circ)C`

The linear expansion coefficient is

`\alpha=12*10^(-6\circ)C^(-1)`

To find: The new height of the tower on a hot day,h2.

Step-by-step explanation:

The formula to calculate new height is

`(h2-h1)/(h1)=\alpha(T_h-T_C)`

Substituting the values, the new height will be

`\begin{gathered} (h2-315)/(315)=12*10^(-6)(28+10) \\ h2=315.10584 \end{gathered}`

Final Answer: The new height of the tower on a hot day is 315.10584.