Question

The Eiffel Tower is a steel structure whose height increases by 19.4 cm when the temperature changes from -9 to 41 oC. What is the approximate height (in meters) at the lower temperature?

Answer 1

Initial height L = 323.3m

Step-by-step explanation:

Given:

Change in Length ∆L = 19.4cm 0.194m

Change in temperature ∆T = 41 -(-9) = 50°C

Coefficient of linear Thermal expansion of steel k = 12 × 10^-6 m/mK

Using the formula for linear expansion:

∆L = Lk∆T

L = ∆L/k∆T ....1

Substituting the given values into equation 1

L = 0.194/(12 × 10^-6 × 50)

Initial height L = 323.3m