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The Bucket (Posted on 2006-09-28) Difficulty: 2 of 5
Consider a bucket of water with two holes of equal area through which water is discharged. The water can flow out through hole ( B ), at the bottom, or through the down-spout, which begins at the top ( T ) and has its opening the same distance below the water level as the center of hole ( B).

   \                       /
    \                     /__
     \                  T/--+|
      \                 /   ||
       \               /    ||
    ____\             /     ||
    -----\B          /      ||
Ignoring any friction effects, out of which opening will the water flow faster, and why?

No Solution Yet Submitted by Salil    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
In theory... | Comment 3 of 14 |

siddesh gives an answer, Leming explains it, but theoretically, in my opinion, more water will flow through T.
I fully agree with above commenters that the water flow is a function of pressure differential at the outlet points (Considering all other influencing properties the same). 
Why then more water through T?
If the atmospheric pressure integrated over B is higher then over T, then it is solved.  Now that is indeed the fact, atmospheric pressure is not a linear function.  The total force above the center of B is lower then half of the force at T's outlet, but that will be more then compensated by the larger force in the lower half of B .

Hey, I said "In theory..."

  Posted by Hugo on 2006-09-28 16:04:56
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