Explanation Given information: The fluid has density ρ = 900 kg / m 3 . 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 = 900 kg / m 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 fluid is at the height of y = 1 , the horizontal strip at height y is at a depth of ( 1 − y ) , and the strip has width f ( y ) = e y . Therefore, the fluid force is given by F = ρ g ∫ a b y f ( y ) d y F = 900 × 9

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ISBN: 9781319323394

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Chapter 9.3, Problem 20E

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To estimate:The fluid force on one side of the ‘infinite’ plateB.

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Chapter 9.3, Problem 19E

Chapter 9.3, Problem 21E

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To estimate: The fluid force on one side of the ‘infinite’ plateB.

Solution Summary: The fluid force on one side of the ‘infinite’ plateB is 17640 N.

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To estimate:The fluid force on one side of the ‘infinite’ plateB.

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Chapter 9 Solutions