Question

The Eiffel tower is made of iron and is about 300 m tall. Due to thermal expansion, its height changes between winter and summer. Estimate the height change the tower undergoes if the difference in temperature between the seasons is 23º C. Enter your answer in meters but do not include units. Provide your answer to the hundredths place.

Answer 1

Change in length is 8.3 cm

Step-by-step explanation:

Coefficient of thermal expansion for iron is given as

`\alpha = 12 * 10^(-6) per ^0C`

now as we know that the change in the length due to thermal expansion depends of change in temperature and initial length of the object

so here we will have

`\Delta L = L_o \alpha \Delta T`

here we know that

`L_o = 300 m`

`\Delta T = 23^o C`

now we will have

`\Delta L = (300)(12 * 10^(-6))(23)`

`\Delta L = 0.083 m`

so change in length is approx 8.3 cm