A pressurized cylindrical tank, 5.0m in diameter, contains water which emerges f
ID: 1294453 • 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 13 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 0.08m^2 and the pipe narrows to an area of 0.04m^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, is closest to:
a) 470kg/s
b) 310kg/s
c)360kg/s
d) 520kg/s
e) 420kg/s
For full points/best answer you MUST provide a detailed step by step solution. Define all variables and equations. Do not copy and paste the answer from another Chegg post because I've seen them all and they are not thorough enough. Thank you
A pressurized cylindrical tank, 5.0m in diameter, contains water which emerges from the pipe at point C, with a velocity of 13 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 0.08m^2 and the pipe narrows to an area of 0.04m^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, is closest to: a) 470kg/s b) 310kg/s c)360kg/s d) 520kg/s e) 420kg/s For full points/best answer you MUST provide a detailed step by step solution. Define all variables and equations. Do not copy and paste the answer from another Chegg post because I've seen them all and they are not thorough enough. Thank youExplanation / Answer
Use the Continuity Equation for an incompressible fluid:
A1v1 = A2v2
where 1 refers to point A and 2 to point C.
A1 = pi*(2.5)2 = 19.625 m2
A2 = 0.04m2
v2 = 13 m/s.
v1 = 0.04 * 13/19.625
v1 = 26.5 mm/s
You require the answer in mm/s then why are the given options in kg/s
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