A pressurized cylindrical tank, 5.0m in diameter, contains water which emerges f
ID: 2214736 • Letter: A
Question
A pressurized cylindrical tank, 5.0m in diameter, contains water which emerges from the pipe at point C, with a velocity of 14 m/s Point A is 10m above point B and point C is 3m above point B. The area of the pipe at point B is 8?10?2 m^2 and the pipe narrows to an area of 1?10?2 m^2 at point C. Assume the water is an ideal fluid in laminar flow. The density of water is 1000 kg/m^3. In the figure, the rate at which the water level is falling in the tank, in mm/s
A pressurized cylindrical tank, 5.0m in diameter, contains water which emerges from the pipe at point C, with a velocity of 14 m/s Point A is 10m above point B and point C is 3m above point B. The area of the pipe at point B is 8?10?2 m^2 and the pipe narrows to an area of 1?10?2 m^2 at point C. Assume the water is an ideal fluid in laminar flow. The density of water is 1000 kg/m^3. In the figure, the rate at which the water level is falling in the tank, in mm/sExplanation / Answer
volume flow rate of water is constant at different cross sections from continuity principle A1*v1=A2*v2
therefore at C: vc = 14m/s;Ac = 1*10^-2 m^2 ; Q=Ac*vc = 14 m^3/s
flow rate at A shall be the same = VA * AA = 14 m^3/s
AA = 52 /4 =19.625 m^2 VA = 0.7134m/s=713.4 mm/s
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