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Consider a cylinder of base area 'A' containing water of volume 'V'. Let a small pipe of cross sectional area 'a' be attached at the bottom of the cylinder. Then, how does the velocity 'v' of water flowing through the pipe vary? i.e, what would be the instantaneous velocity for a given volume of water.

I thought of this problem after looking at my water filter. I tried deriving a formula, but I was unable to. enter image description here

P. S This question is not my homework. I was merely intrigued by what I observed on a day to day basis.

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closed as off-topic by ACuriousMind Mar 9 '18 at 17:01

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See our meta site for more guidance on how to edit your question to make it better" – ACuriousMind
If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ Hi and welcome to physics.SE! Please note that homework-like questions and check-my-work questions are generally considered off-topic here. We intend our questions to be potentially useful to a broader set of users than just the one asking, and prefer conceptual questions over those just asking for a specific computation. $\endgroup$ – ACuriousMind Mar 9 '18 at 17:01
  • $\begingroup$ Well, can you please tell me how to rephrase my question? This topic genuinely interested me and I did try finding a relation, but I was unable to understand all the factors that came into the equation. So I was hoping someone could help me with solving it. $\endgroup$ – TheAk Mar 9 '18 at 17:08

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