$\"\"$

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The rectangular plate is submerged vertically in a tank of fluid that weights

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$\"\"$ .

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The height of the rectangular plate is $\"\"$ base is $\"\"$ .

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Consider the depth of the plate is $\"\"$ .

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The horizontal length of the plate is $\"\"$ .

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Therefore, $\"\"$ .

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The center of the circle is $\"\"$ $\"\"$ feet below the surface of the fluid.

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Consider the center of the circular end of the plate is at origin.

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The $\"\"$ ranges from $\"\"$ to $\"\"$ .

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$\"\"$

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The fluid force is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Fluid force on a rectangular plate is $\"\"$ .

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$\"\"$

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Fluid force on a rectangular plate is $\"\"$ .