Explanation Given: The figure is And, the end of trough is an equilateral triangle of side 3 . The trough is filled with water to height H. Calculation: Consider the figure The end of trough is an equilateral triangle of side 3 . The trough is filled with water to height H. The objective is to calculate the fluid pressure on each side of the trough Place the origin at the lower vertex of the trough and orient the positive y − axis pointing upward. First consider the faces at the front and back of the trough. A horizontal strip at height y has a length of 2 y 3 . And is at a depth of ( H − y ) . Therefore, F = ρ g ∫ 0 H ( H − y ) . 2 y 3 d y F = 2 ρ g 3 ∫ 0 H ( H y − y 2 ) d y F = 2 ρ g 3 [ H y 2 2 − y 3 3 ] 0 H F = 2 ρ g 3 [ H

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ISBN: 9781319055844

Author: FRANZOSA

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Chapter 9.3, Problem 27E

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To calculate:The fluid pressure on each side of the trough

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Chapter 9.3, Problem 26E

Chapter 9.3, Problem 28E

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The fluid pressure on each side of the trough

Solution Summary: The author calculates the fluid pressure on each side of the trough by orienting the positive y axis pointing upward.

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