Explanation Calculation: Consider the dam whose face is an inclined rectangle, The fluid force exerted on the face of the dam is, F = ∫ a b p h x w x d x Here, ρ = 9810 N / m 3 is the weight density of water. The flat surface immersed in fluid forms a right-angle triangle with hypotenuse x . θ = 60 ° Use Pythagorean Theorem to find the height, h x = x sin 60 ° The width of the dam is w x = 200 m . The limits are the height of the damâ€™s wall, that is from 0 ≤ x ≤ 100 . Therefore, the fluid force exerted on the face of the dam is, F = ∫ 0 100 9810 200 x sin 60 ° d x = ∫ 0 100 9810 200 x 3 2 d x = 9

Calculus Early Transcendentals, Binder Ready Version

11th Edition

ISBN: 9781118883822

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

Publisher: WILEY

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Question

Chapter 6.8, Problem 19ES

To determine

To calculate: The fluid force exerted on the face when the water is level with the top of this dam. The figure shows a dam whose face is an inclined rectangle.

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Chapter 6.8, Problem 18ES

Chapter 6.8, Problem 20ES

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Chapter 6 Solutions

Calculus Early Transcendentals, Binder Ready Version

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