Explanation Given information: The top of the plate is at the depthof D = 4 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 = 10 3 is the fluid density and g = 9.8 m / s 2 is the acceleration due to gravity. From the figure, we can see that the width of the plate varies linearly from 4 m at a depth of 4 m to 7 m at a depth of 6 m, therefore, at depth y, the width of the plate is given by We Can write the points as ( 2 , 4 ) and ( 3.5 , 6 ) ( y − y 1 ) = ( y 2 − y 1 ) ( x 2 − x 1 ) ( x − x 1 ) , where, ( x 1 , y 1 ) = ( 2 , 4 ) and ( x 2 , y 2 ) = ( 3.5 , 6 ) . ( y − 4 ) = ( 6 − 4 ) ( 3.5 − 2 ) ( x − 2 ) ( y − 4 ) = 2 1.5 ( x − 2 ) 1

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 8.3, Problem 14E

To determine

To estimate:

The fluid force on the side of the plate.

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Chapter 8.3, Problem 13E

Chapter 8.3, Problem 15E

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Chapter 8 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

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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.