A pressurized cylindrical tank, 5.0 m in diameter, contains water which emerges

Question

A pressurized cylindrical tank, 5.0 m in diameter, contains water which emerges from the pipe at point C, with a velocity of 15 m/s. Point A is 10 m above point B and point C is 3 m above point B. The area of the pipe at point B is 6?10?2 m^2 and the pipe narrows to an area of 2?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, is closest to:

a) 11 mm/s

b) 13 mm/s

c) 8.1 mm/s

d) 18 mm/s

e) 15 mm/s

Explanation / Answer

e) 15 mm/s

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