This butterfly valve (D = 12 ft) is used to control the flow in a 12 ft diameter outlet pipe in a dam. In the position shown, the valve is closed. The valve is supported by a horizontal shaft through its center. The shaft is located H = 60 ft below the water surface. What torque would have to be applied to the shaft to hold the valve in the position shown?

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Water Butterfly valve H Shaft Atmospheric pressure 30° Diameter = D