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Assignment 3 - (b the horizontal force applied at A...

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CHEE 3363---Fluid Mechanics Assignment 3 Problem 3.27 Water flows downward along a pipe that is inclined at 30° below the horizontal, as shown. Pressure difference ? ? − ? ? is due partly to gravity and partly to friction. Derive an algebraic expression for the pressure difference. Evaluate the pressure difference if ? = 5 ft and = 6 in . Problem 3.49 Find the pressures at points A, B, and C, as shown, and in the two air cavities.
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Problem 3.50 A triangular access port must be provided in the side of a form containing liquid concrete. Using the coordinates and dimensions shown, determine the resultant force that acts on the port and its point of application. Problem 3.70 The parabolic gate shown is 2 m wide and pivoted at ? ; 𝑐 = 0.25 𝑚 1 , 𝐷 = 2 𝑚 and 𝐻 = 3 𝑚 . Determine (a) the magnitude and line of action of the vertical force on the gate due to the water,
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Unformatted text preview: (b) the horizontal force applied at A required to maintain the gate in equilibrium, and (c) the vertical force applied at A required to maintain the gate in equilibrium. Problem 3.73 A spillway gate formed in the shape of a circular arc is ´ m wide. Find the magnitude and line of action of the vertical component of the force due to all fluids acting on the gate. Problem 3.84 The cylinder shown is supported by an incompressible liquid of density ° , and is hinged along its length. The cylinder, of mass ? , length ? , and radius ± , is immersed in liquid to depth ² . Obtain a general expression for the cylinder specific gravity versus the ratio of liquid depth to cylinder radius, ³ = ² ± , needed to hold the cylinder in equilibrium for ≤ ³ < 1 . Plot the results....
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