Final answer:
When the temperature increases by 15°C, the Eiffel Tower, made of steel with an original height of 321 m, would expand by approximately 5.778 centimeters due to its coefficient of linear expansion for steel.
Step-by-step explanation:
According to the coefficient of linear expansion for steel, which is given as 1.2×10-5/°C, the change in height (ΔL) of the tower can be calculated when subjected to a 15°C temperature increase. We start with the original height of the Eiffel Tower, 321 meters, and use the formula ΔL = α × L × ΔT, where α is the coefficient of linear expansion, L is the original length, and ΔT is the change in temperature. By substituting the known values, we obtain ΔL = (1.2×10-5/°C) × (321 m) × (15°C) = 0.05778 m or approximately 5.778 centimeters. Therefore, the height of the Eiffel Tower would increase by nearly 5.778 cm at the end of a day with a 15°C temperature rise.