In a water pollution control project, the polluted water is pumped vertically upward 80 ft and then sprayed into the air to increase the oxygen content in the water and to evaporate volatile materials. The system is sketched in Fig. 11.28. The polluted water has a specific weight of 64.0 lb/ft3 and a dynamic viscosity of 4.0 × 10-5 lb∙s/ft2. The flow rate is 0.50 ft3/s. The pressure at the inlet to the pump is 3.50 psi below atmospheric pressure. The total length of discharge pipe is 82 ft. The nozzle has a resistance coefficient of 32.6 based on the velocity head in the discharge pipe. Compute the power delivered by the pump to the fluid. If the pump efficiency is 76 percent, compute the power input to the pump.
Refer to Fig. 5.35. The vessel shown is to be used for a special experiment in which it will float in a fluid having a specific gravity of 1.16. It is required that the top surface of the vessel is 0.25 m above the fluid surface.
a. What should be the total weight of the vessel and its contents?
b. If the contents of the vessel have a weight of 5.0 kN, determine the required specific weight of the material from which the vessel is made.
c. The center of gravity for the vessel and its contents is 0.40 m down from the rim of the open top of the cylinder. Is the vessel stable?
Referring to Problem 5.30, assume that the steel bar is fastened to the bottom of the cup with the long axis of the bar horizontal. Will the cup float stably?
Repeat Problem 5.29, but consider that the steel bar is fastened outside the bottom of the cup instead of being placed inside.
A light foam cup similar to a disposable coffee cup has a weight of 0.05 N. A steel bar is placed inside the cup. The bar has a specific weight of 76.8 kN/m3, a diameter of 38.0 mm, and a length of 80.0 mm. How much of the height of the cup will be submerged if it is placed in water? The cup has a uniform diameter of 82.0 mm and a length of 150 mm.