The Eiffel Tower in Paris stands 300.0 m tall on a day of average temperature, 22.0°C. How much taller is the steel tower on a hot summer day (T = 40°C) in centimeters? (αsteel = 11 x 10-6 °C-1)
Let's use the GRASS method to solve this problem.
Coefficient of Linear expansion of steel
Required to find: Change in length
Analysis: The formula for figuring out this question is
The unknown value is already isolated, so we do not need to manipulate the formula.
Solve and Significant Figures:
Convert to centimeters by multiplying by 100:
This means the Eiffel Tower is 5.94 cm taller on a hot day of 40 degrees than it is at 22 degrees.