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).
\ / ||
\ / ||
____\ / ||
-----\B / ||
Ignoring any friction effects, out of which opening will the water flow faster, and why?
Will the flow rate through T increase if you extend it further down for another 100ft? No! Imagine cutting the vertical section laterally in half and (slowly:) removing the parts. Nothing would change. The vertical section of T doesn't matter since water in it is in free fall. It would only matter if there was a U turn at the end of it. In real world things are different because of friction. Then the vertical section would make a difference depending its diameter. B is the correct answer.
Edited on September 29, 2006, 12:37 pm
Posted by Art M
on 2006-09-29 11:58:06