Explanation Given information: The top of the plate is at the depthof D = 2 m . Formula used: The formula for fluid force is F = ρ g ∫ a b y f ( y ) d y where ρ is the fluid density and g = 9.8 m / s 2 is the acceleration due to gravity, y is the depth from a to b and f ( y ) is the horizontal width of the side at depth y. Calculation: ρ = 800 is the fluid density and g = 9.8 m / s 2 is the acceleration due to gravity. From the figure, we can see that for the depth up to 2 m, the width of the plate at depth y is y , and for depths from 2 m to 6 m, the width of the plate is a constant 2 m. Then, the fluid force is given by F = ρ g ∫ a b y f ( y ) d y Substituting all values, we get F = 800 × 9.8 ∫ 0 2 y f ( y ) d y + 800 × 9

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 8.3, Problem 15E

To determine

To estimate:

The fluid force on the side of the plate.

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Chapter 8.3, Problem 14E

Chapter 8.3, Problem 16E

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Chapter 8 Solutions

Calculus: Early Transcendentals

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To estimate: The fluid force on the side of the plate.

Solution Summary: The author calculates the fluid force on the side of the plate using the formula 8153603 N.