Q1) Water flows from a pressurized tank (in figure below), through a 10.0 cm diameter pipe, exits from a 5.0 cm diameter nozzle, and rises 5.0 m above the nozzle. Determine the pressure in the tank if the flow is steady, frictionless, and incompressible.
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- 3. In scuba diving, a regulator is used so that the pressure of the air the diver breathes is close to that of the ambient water. A reckless swimmer decides to use a hose sticking out of the surface to breathe underwater while diving in a lake. When the air pressure in the lungs is at a pressure of around 0.155 atmospheres below the ambient pressure, lung injury may occur. Find the depth at which the swimmer would experience such a pressure differential.1. The 3 cm diameter water pipe in the figure splits into two 1 cm diameter pipes. All pipes are circular and at the same elevation. At point A, the water speed is 2 m/s and the gauge pressure is 50 kPa. Assume Pwater = 103 kg/m³. The viscocity of water n = 0.001 Pa.s Cross-section view of pipe AO B a) What is the water speed at point B? m/s b) Calculate the Reynolds number, Re, for the fluid flow in region A and region B. Re in pipe A = Re in pipe B = c) The flow is at point A and at point B.8. A piece of copper has a mass of 2.6 kg. a. What is the volume of this piece of copper?b. The copper is then totally submerged in water. What is the buoyant force acting on it? c. What is the piece of copper’s apparent weight in the water?
- 3. What is the laminar flow rate of water in a pipe with an internal radius of r and a length of L m if the pressure difference across the pipe is 2.0 kPa? The water in the pipe has a viscosity of approximately 0.6 mPa-s. let r =2.5 cm let L=0.5m Describe the effect on the flow rate given each of the following changes. Each change is to the original system and all other variables are held constant. The radius decreases The pipe length decreases The fluid viscosity decreases The pressure difference decreases4Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is water light) a. What mass of water is displaced? b. What is the volume of the bone? c. What is its average density?
- Assume that the left side of your heart creates a pressure of 121 mm Hg by exerting a force directly on the blood over an effective area of 16.0 cm2. What force (in N) does it exert to accomplish this? N9. A liquid is flowing through a horizontal pipe whose radius is 2.18 x 10-2 m. The pipe bends straight upward through a height of 10.6 m and joins another horizontal pipe whose radius is 4.36 x 10-2 m. What is the speed of the liquid in the lower horizontal pipe if the pressure in both horizontal pipes is the same? m/s MAR 27 888 5 T G 6 B tv MacBook Air H 8 N 8 DIE A F10 zoom oup by mi 04 M vauies or the puffer AmB
- 10. A container is filled with water as shown in the figure. Points A, B, C, and D indicates the pressure exerted by the liquid. Arrange the points based on the magnitude of the pressure exerted by the liquid in a descening order. D. Ignore the question number, just try it out! O D. B, A, C О В. С, А, D O C, A, B, D O A. C, B, DTwo identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve that is closed. Both containers are filled initially to the same height of 1.00 m, one with water, the other with mercury, as the drawing indicates. The valve is then opened. Water and mercury are immiscible. Determine the fluid level in the left container when equilibrium is reestablished. Number Units Water Valve Mercury 100 m 43. Water at a pressure of 4.30 atm at street level flows into an office building at a speed of 0.75 m/s through a pipe 4.60 cm in diameter. The pipes taper down to 1.70 cm in diameter by the top floor, 22.0 m above. Calculate the water pressure in such a pipe on the top floor. Pa