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Assume the water flows from the faucet sufficiently slow.
Depends on how you define "full". I am assuming it means "overflowing". Then, it is still a function of how fast water is added from the tap. Or, more precisely, it depends on whether the water is added faster than it can flow through the tubes connecting tanks.
If it is added slow enough, 3 and 4 with overflow at almost the same time. If it is added pretty fast, it will overflow the first tank first.
I disagree. The only way there would be positive pressure from 3 into 4 (once they're at the same height) is if 3 is slightly more full. The water still has to get to 4 by going from high water level to low water level - even if it's one drop at a time. It ain't going to flow uphill.Four. Water pressure from tank #3 will make the level of tank 4 slightly higher than the level of tank 3.
Consider the force balance for water in the tube connecting tanks 3 and 4. If tanks 3 and 4 have the same height of water (above the inlet to tank 4), how much water is pushing on the outlet from tank 3? Is this more or less than the amount of water pushing on the inlet to tank 4?I disagree. The only way there would be positive pressure from 3 into 4 (once they're at the same height) is if 3 is slightly more full. The water still has to get to 4 by going from high water level to low water level - even if it's one drop at a time. It ain't going to flow uphill.
And remember, it states the water is filling sufficiently slow.
Is this more or less than the amount of water pushing on the inlet to tank 4?
It's the same. Otherwise there would be flow.Is this more or less than the amount of water pushing on the inlet to tank 4?
It's the same. Otherwise there would be flow.
There can never be more water in 4 than in 3.
At some point, when 3 and 4 are equal, a subsequent drop will enter 3, making it one drop higher. Only then will water flow from 3 to 4.
See rebellis post, above.
Consider the force balance for water in the tube connecting tanks 3 and 4. If tanks 3 and 4 have the same height of water (above the inlet to tank 4), how much water is pushing on the outlet from tank 3? Is this more or less than the amount of water pushing on the inlet to tank 4?
you were right the other time.¨ROFL, completely missed the description below the image.
For engineering, there really is "insufficient" description. We also could add viscosity together with L/d of the tubes connections,, capillary and surface tension if the tubes are small and/or long. A real world engineering challenge.Hard water forms a mineral deposit in the outlet from 1 to 2, thus, one is the answer.