Question

How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15°C? Its original height is 321 m and you can assume it is made of steel.

a) 0.126 m
b) 0.189 m
c) 0.252 m
d) 0.315 m

Answer 1

The Eiffel Tower becomes approximately 0.057 m taller at the end of the day when the temperature has increased by 15°C.

Step-by-step explanation:

To calculate how much taller the Eiffel Tower becomes when the temperature increases by 15°C, we can use the concept of thermal expansion.

Steel has a coefficient of linear expansion of 0.000012/°C.

We can calculate the change in height using the formula:

Change in height = Original height * Coefficient of linear expansion * Change in temperature

Plugging in the values:

Change in height = 321 m * 0.000012/°C * 15°C

= 0.057 m

Therefore, the Eiffel Tower becomes approximately 0.057 m taller at the end of the day when the temperature has increased by 15°C.