Explanation Given information: A swimming pool, part of whose bottom is an inclined plane is shown as the follows: Formula used: Suppose a flat surface is submerged vertically in a fluid of weight density δ and that the submerged portion of the plate extends from h = a to h = b on the vertical axis. Then the total force exerted by the fluid is given by of area A is submerged horizontally at a depth h in a fluid, the weight of the fluid exert a force called fluid force which is given by F = ∫ a b δ h L ( h ) d h Calculation: tan θ = 7 14 = 1 2 Then sec θ = 1 + tan 2 θ = 1 + 1 4 = 5 2 The weight density of wateris 62.4 l b / f t 3 . The height of the inclined plane is 7 ft. The thin slab has thickness Δ y and length L = 2 x = 12 f t

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.5, Problem 49PS

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To set up and analyse:A model for determine the fluid force on the bottom when the pool is filled to the top with water.

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Chapter 6.5, Problem 48PS

Chapter 6.5, Problem 50PS

Chapter 6 Solutions

Calculus

Ch. 6.1 - Prob. 1PS Ch. 6.1 - Prob. 2PS Ch. 6.1 - Prob. 3PS Ch. 6.1 - Prob. 4PS Ch. 6.1 - Prob. 5PS Ch. 6.1 - Prob. 6PS Ch. 6.1 - Prob. 7PS Ch. 6.1 - Prob. 8PS Ch. 6.1 - Prob. 9PS Ch. 6.1 - Prob. 10PS

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To set up and analyse: A model for determine the fluid force on the bottom when the pool is filled to the top with water.

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To set up and analyse:A model for determine the fluid force on the bottom when the pool is filled to the top with water.

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Chapter 6 Solutions