Explanation Given information: The depth of the water reservoir dropped 20 feet in a drought. Formula used: The Nth Trapezoidal Rule approximately to ∫ a b f ( x ) d x is T N = 1 2 Δ x ( y 0 + 2 y 1 + 2 y 2 + ... + 2 y N − 1 + y N ) Where Δ x = b − a N a n d y j = f ( x j ) 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 = 6.367 is the water density and g = 9.8 m / s 2 is the acceleration due to gravity. Then F = 6.367 × 9.8 ∫ 0 100 y f ( y ) d y = 62.4 ∫ 0 100 y f ( y ) d y = 62.4 × 1 2 Δ x ( y 0 + 2 y 1 + 2 y 2 +

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 9.3, Problem 12E

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To estimate:The fluid force on the wall using Trapezoidal Rule.

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Chapter 9.3, Problem 11E

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CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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To estimate: The fluid force on the wall using Trapezoidal Rule.

Solution Summary: The author estimates the fluid force on the wall using the Trapezoidal Rule. The depth of the water reservoir dropped 20 feet in a drought.

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To estimate:The fluid force on the wall using Trapezoidal Rule.

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