Problem 14.07 The Eiffel Tower in Paris is 984 f t tall and is made mostly of st

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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-8.00C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.5 C? d = ft SubmitGive Up Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees. = (F)1 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-8.00C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.5 C? d = ft SubmitGive Up Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees. = (F)1 Problem 14.07 Problem 14.07 The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel. The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel. 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-8.00C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.5 C? d = ft SubmitGive Up Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees. = (F)1 Part A If this is its height in winter when its temperature is-8.00C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.5 C? d = ft SubmitGive Up Part A If this is its height in winter when its temperature is-8.00C, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.5 C? d = ft SubmitGive Up d = ft d = ft SubmitGive Up Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees. = (F)1 Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees. = (F)1 = (F)1 = (F)1 d = ft

Explanation / Answer

Assuming linear thermal expansion is the only factor at play here:

delta(L) = L*alpha*delta(T), where L is the length, alpha is the thermal coeff, and T is the temperature

alpha = 12 * 10^-6 per degree C ---approximation given by wiki
convert to F:
= 12 * 10^-6 * 5/9 = 60/9 * 10^-6

convert the temperature difference to degrees F
49.5*9/5 = 89.1F

delta(L) = 984ft * 60/9 * 10^-6F^-1 * 89.1F
delta(L) = 0.5845 ft

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