All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Science
Time to run out water (Posted on 2006-07-13) Difficulty: 3 of 5
Consider a solid sphere (capable of withstanding full vacuum) of 3m diameter filled completely with water resting at sea level. It has a 10cm hole at the bottom with a cork on it. If you open the cork, what is the time taken for water to completely drain out.

What happens for higher diameter spheres?

No Solution Yet Submitted by Salil    
Rating: 1.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Not so simple | Comment 8 of 11 |

Looking at this problem, the first thing that struck me is that it would probably take partial differentials to solve it. There are too many interdependant variables that prevent a simple solution. (i.e. flow rate, water pressure at the opening, coriolis effect, type of flow, air viscosity, water viscosity.) One could assume constant viscosity, and ignore the natural cohesion of the water, but this problem, as it is stated, is tougher than a 3 difficulty.

It could be simplified by allowing an opening at the top to allow air to enter from that direction. . .

Edited on July 18, 2006, 8:35 am
  Posted by Leming on 2006-07-14 08:10:01

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information