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The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel.

Problem 14.07The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel.Part AIf this is its height in winter when its temperature is -8.00 ∘C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 41.3 ∘C? Part BExpress the coefficient of linear expansion of steel in terms of Fahrenheit degrees.
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2 Answers

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Major Spinka DVM

Feb 20, 2025

Part A) I'll use α = 12e-6/ºCΔL = α L ΔT = 12e-6/ºC 984ft (41.3 - -8.00)ºC = 0.582 ft ◄ or almost 7 inches.Part B) 12e-6/ºC * 5ºC/9ºF = 6.67e-6/ºF ◄assuming the value of α that I have.Hope this helps!... Show More
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M
Major Spinka DVM

Feb 20, 2025

A)h = ho(1+λsΔT) = 984(1+1210^-6*49.3) = 984.58 feetΔh = h-ho = 984.58-984 = 0.58 feetB)λs = (12*49.3/120.75)*10^-6 = 4.90*10^-6 °F^-1... Show More
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