1. Most bridges contain interlocking steel grates (α steel = 1.2 x 10 - 5 ºC -1 ) that allow the bridge to expand and contract with the changes in temperature. The Golden Gate Bridge in San Francisco is about 1350 meters long. (A) The seasonal temperature variation in San Francisco ranges from about 0ºC to 30ºC. How much will the bridge expand between these two extremes? (B) What percent of the length of a subcompact automobile, 2.5 meters, does this gap represent?
1. Most bridges contain interlocking steel grates (α steel = 1.2 x 10 - 5 ºC -1 ) that allow the bridge to
expand and contract with the changes in temperature. The Golden Gate Bridge in San Francisco is
about 1350 meters long.
(A) The seasonal temperature variation in San Francisco ranges from about 0ºC to 30ºC. How
much will the bridge expand between these two extremes?
(B) What percent of the length of a subcompact automobile, 2.5 meters, does this gap
represent?
2. Selena has a fire in her fireplace to warm her 20ºC apartment. She realizes that she has
accidentally left the iron poker (α iron = 1.2 x 10 -5 ºC -1 ) in the fire. How hot is the fire if the 0.60-
meter poker lengthens 0.30 cm?
3. Just before midnight, when the air temperature of 10.0ºC, Karl stops and fills the 0.0600 m 3 gas
tank in his car. At noon the next day, when the temperature has risen to 32ºC, Karl finds a puddle of
gasoline (βgas = 3 x 10 -4 ºC -1 ) beneath his car.
(A) How much gasoline spilled out of Karl's car? (assume that there was virtually no change
in the volume of his tank)
4. As he rides the train to work on a - 4ºC winter day, Mr. Trump notices that he can hear the click of
the train going over the spaces between the rails. Six months later, on a 30ºC summer day, the rails
are pushed together and he hears no clicks. If the rails are 5 meters long when the temperature is
30ºC, how large a gap is left between the steel rails (α steel = 1.2 x 10 - 5 ºC -1 ) on the cold winter day?
5. A popular winter activity of many college students is "traying," or sliding down a snow-covered hill
on a tray borrowed from the dining hall. If Joanne removes a 0.35-meter x 0.65-meter aluminum
tray (α aluminum = 2.4 x 10 - 5 ºC -1 ) from the 20ºC dining hall to go traying outside in the brisk - 8ºC
winter air, how much will the tray shrink when it is taken outside?
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