One of the tallest buildings in the world is the Taipei 101 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15.5o C. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the Taipei 101 is 0.471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?

Solution 12E Step 1 : Given data L = 1671 feet 0 T = 15.5 C L = 1671 feet + 0.471 feet = 1670.529 feet Expansion coefficient of steel = 12 × 10 6 We know that L L = T 1670.529 feet 6 1671 feet = 12 × 10 × T 0.9997 feet = 12 × 10 6 × T 0.9997 feet 12×106 = T T = 8.33 × 10 8 T = 15.5 8.33 = 7.17 C 0 0 Hence the if found to be 7.17 C for 0.471 feet increase in height