fluid problem 2 - Fluid Mechanics Problems 2 Consider a...

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Fluid Mechanics Problems 2 Consider a gate CD , which is shown below and can be (a) rectangular, (b) circular, and (c) triangular in shape. The gate is only hinged at the top, and has no support elsewhere. Find the moment to be applied at the hinge in each case to keep the gate in equilibrium. Density of water = 1,000 kg/m 3 . D C air hinge water 5 m 6 m 2 m 6 m sectional view front view Rectangluar gate Circular gate Triangular gate Area of the gate ( A ) Depth of the center of area ( h c ) Magnitude of the resultant force due to hydrostatic pressure on the gate F R = Second moment of area about the horizontal axis through the center of area ( I c ) Depth of the center of pressure h R = Applied moment about the hinge to keep the gate in equilibrium M = For each part, write down the formula (or give the right-hand side of the equation) before plugging in. State clearly the units and the direction of the moment.
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