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Question: the liquid depth to the horizontal portion of the gate...

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The liquid depth to the horizontal portion of the gate is 2 ft, and the gate itself is to be designed so that the oil depth does not exceed 5 ft. When the depth is greater than 5 ft, the fluid forces act to open the gate, and some oil escapes through it. The gate is 1.2 wide(into the page). Determine the angle \Theta required for the gate to open when necessary.

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