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Grade 11Mechanics

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. A small hole is made in the side of each tank at the same depth 11below the liquid surface, but the hole in tank 1 has half the cross-sectional area of the hole in tank 2. (a) What is the ratio p1/p2 of the densities of the fluids if it is observed that the mass flux is the same for the two holes? (b) What is the ratio of the flow rates (volume flux) from the two tanks? (c) It is desired to equalize the two flow rates by adding or draining fluid in tank 2. What should be the new height of the fluid above the hole in tank 2 to make the flow rate in tank 2 equal to that of tank 1?

Profile image of Radhika Batra
11 Years agoGrade 11
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1 Answer

Profile image of Kevin Nash
11 Years ago
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Therefore, the ratio of the flow rates of the liquids from the two tanks is \frac{1}{2}
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Therefore, the height of the liquid in the tank 1 should 4 times the height in the tank 2 for the flow rate to be same.

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