Explanation Calculation: Assume the pool to be in an x y − coordinate plane. Now, draw the figure given below by labeling it with the required information. The fluid force exerted on the object is F = ∫ a b p h x w x d x . The weight density, ρ , of water is known to be 62.4 lb / ft 3 and the width of the pool is 10 ft . Hence, the depth is different at different points; the value of h x at each point is given by the equation of the inclined line in the figure. The value of sec θ can be determined by using the Pythagorean Theorem. At x = 0 , the point on the inclined line is 0 , 4 and at x = 16 , the point is 16 , 8 . The slope of the line is 1 4

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ISBN: 9781119778189

Author: Anton, Howard, Bivens, Irl C., Davis, Stephen

Publisher: WILEY

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Chapter 6.8, Problem 17ES

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To calculate: The fluid force on the bottom when the pool is filled to the top.

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Chapter 6.8, Problem 16ES

Chapter 6.8, Problem 18ES

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Calculus: Early Transcendentals

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The fluid force on the bottom when the pool is filled to the top.

Solution Summary: The author calculates the fluid force on the bottom, when the pool is filled to the top, and the weight density, rho , of water.

To calculate: The fluid force on the bottom when the pool is filled to the top.

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Chapter 6 Solutions