Time required to empty a liquid filled contaier through an orifice

AI Thread Summary
To determine the time required to empty a liquid-filled spherical shell through a small hole at the bottom, Bernoulli's equation can be applied to find the exit speed of the liquid. It's important to also consider a hole at the top of the shell to allow air in, which facilitates the flow of liquid out. The discussion references Torricelli's Law, which relates to the speed of efflux of fluid under gravity. The conversation emphasizes that this is not a homework question, despite some playful banter about its nature. Understanding these principles is crucial for accurately calculating the emptying time of the shell.
supratim1
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This is not a homework question. I am trying to figure it out myself.

Let a spherical shell of radius R be filled with a liquid (full). Now let a small hole of area A be made at the bottom of the shell. Find the time required to empty the shell completely.
 
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hi supratim1! :wink:

use Bernoulli's equation along a streamline to find the exit speed …

what do you get :smile:​

(oh, and i think you'll need a hole at the top of the shell, also! :biggrin:)
 
can't we use the Toricelli's Law? I too think a hole should be there at top.
 
What you're describing is very similar to a Zahn cup.
 
supratim1 said:
This is not a homework question.


It indeed is... i am your classmate and i know it!

And yes, consider the top is open (you can imagine it to have a hole)
 
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