Explanation Given: A square plate of side 3 m is submerged in water at an inclined of 30 ∘ with the horizontal. Calculation: Consider that a square plate of side 3 m is submerged in water at an inclined of 30 ∘ with the horizontal. We have to calculate the force on plate. The top edge of the plate lies at a depth of 6 m . Since the side of the plate i.e. 3 m behaves as hypotenuse of a right-angle triangle whose base angle is 30 ∘ . And height of the triangle gives the depth of bottom edge of the plate from the top edge. So, sin 30 ∘ = D 3 ⇒ D = 3 sin 30 ∘ That means that the bottom edge of the plate is located at a depth of 6 + 3 sin 30 = 6 + 3 × 1 2 = 15 2 meters Let y denote the depth at any point of the plate. The width of which horizontal strip of plate is then, = △ y sin 30 = △ y 1 2 = 2 △ y Therefore, force is F = ρ g ∫ 6 15 2 3 y ...

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Chapter 9.3, Problem 24E

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To calculate:The fluid force on one side of the plate if the top edge of the plate lies at a depth of $6 m$ .

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Chapter 9.3, Problem 23E

Chapter 9.3, Problem 25E

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The fluid force on one side of the plate if the top edge of the plate lies at a depth of 6 m .

Solution Summary: The author calculates the fluid force on a plate if the top edge of the plate lies at 6 m.

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To calculate:The fluid force on one side of the plate if the top edge of the plate lies at a depth of $6 m$ .

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Chapter 9 Solutions

The fluid force on one side of the plate if the top edge of the plate lies at a depth of 6 m .

Solution Summary: The author calculates the fluid force on a plate if the top edge of the plate lies at 6 m.

Concept explainers

Videos

To calculate:The fluid force on one side of the plate if the top edge of the plate lies at a depth of 6 m.

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Chapter 9 Solutions

To calculate:The fluid force on one side of the plate if the top edge of the plate lies at a depth of $6 m$ .