A tank is constructed of a series of cylinders having diameters of 0.30, 0.25, and 0.15 m as shown. The tanks contains oil, water and glycerin and a mercury manometer is attached to the bottom as illustrated. Calculate the manometer reading h. (Answer: h=0.0326 m) 0.1 m SAE 300 0.1 m + 0.1 m Water Glycerin Mercury 10. The rectangular gate CD shown is 1.8 m wide and 2.0 m long. Assuming the material of the gate to be homogeneous and neglecting friction at the hinge C, determine the weight of the gate necessary to keep it shut until the water level rises to 2.0 m above the hinge. (Answer: W-180 kN) 2 m Water 2 m hinge 11. Two square gates close two openings in a conduit connected to an open tank of water as shown. When the water depth h reaches 5 m, it is desired that both gates open at the same time. Determine the weight of the homogeneous horizontal gate and the horizontal force R acting on the vertical gate that is required to keep the gates closed until this depth is reached. The weight of the vertical gate is negligible, and both gates are hinged at one end as shown. Friction in the hinges is negligible. Clearly sketch the hydrostatic pressure distribution on the vertical gate. (Answer: R-497 kN) Fluid Horizontal gate Hinge 4m x 4m 3 R Vertical gate 4m x 4m Hinge 17. Water flows steadily through the large tanks shown where h-2 m. The diameters of the pipes exiting tanks A and B are 0.03 m and 0.05 m, respectively. Neglecting frictional losses, determine the water depth ha. (Answer: hA-15.4 m) 18. Water flows from a large tank through a large pipe that splits into two smaller pipes as shown. If viscous effects are negligible, determine the flowrate from the tank and the pressure at point (1). Determine the net horizontal force that the pipe and tank exert on the fluid. (Answer: p-57851 PaG) 3m 7m 0.03 m diameter 4m 0.02mdiameter 0.05mdiameter 3m 19. A hydroelectric power plant operates under the conditions illustrated. The frictional losses associated with the flow from the water upstream of the dam, section (1), to the turbine discharge at atmospheric pressure, section (2), is 196 J/kg. How much power is transferred from the water to the turbine blades? (Answer: P-23.5 MW) Section (1) Q-30 m 100m Turbine Section (2) 0. Air flows into the atmosphere from a nozzle and strikes a vertical plate as shown. A horizontal force of 12 N is required to hold the plate in place. Determine the reading on the pressure gage if the pipe's cross-sectional area is 0.01 m² and the free jet's cross- sectional area is 0.003 m². Assume the flow to be incompressible and frictionless. (Answer: 1.82 kPaG) 12 N 21. Two water jets of equal size and speed strike each other as shown. The diameter of these jets is 0.0348 m. Determine the speed v in m/s and direction 0 of the resulting combined jet to the horizontal, where is the angle measured from the horizontal. Gravity is negligible. Convert all units to standard SI before solving. Note that 1 ft-0.3048 m. (Answer: v=2.155 m/s) v,-10 / st 90° v₂-10/T 22. Assuming frictionless, incompressible, one-dimensional flow of water through the horizontal tee connection sketched below, estimate values of the x and y components of the force exerted by the tee on the water. The flowrate in Section 3 is 10 m³/s. The velocity and pressure in Section 1 are 6 m/s and 200 kPaG, respectively. Each pipe has an inside diameter of 1 m. (Answer: R,-185 kN) Section (3)- -Section (2) Section (1) 24. Oil (SG-0.9) flows downward through a vertical pipe contraction as shown. If the mercury manometer reading h is 100 mm, determine the volumetric flowrate for frictionless flow. Is the actual flowrate more or less than the frictionless value? Explain. (Answer: Q=0.042 m³/s) -300 mm 100 mm 25. Water is pumped from the tank shown. The frictional head loss is 1.2v2/2g, where v is the average velocity in the pipe. The vertical distance between the free surface and centerline of the pipe is 6 m, and the pipe's diameter is 7 cm. According to the pump manufacturer, the relationship between the pump head and the flowrate is as shown, where hp is in meters and Q is in m³/s. Determine the flowrate Q. (Answer: Q=0.052 m³/s) 20 Pump 10 h, 20-200002 0.05 Q. m³/s 0.1