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

Problem 14.07

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

Part A

If 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 B

Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees.

2 Answers

  • Part A) I'll use α = 12e-6/ºC

    ΔL = 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!

  • A)

    h = ho(1+λsΔT) = 984(1+1210^-6*49.3) = 984.58 feet

    Δh = h-ho = 984.58-984 = 0.58 feet

    B)

    λs = (12*49.3/120.75)*10^-6 = 4.90*10^-6 °F^-1

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