Question 825803: What diameter hole at the bottom of a bucket is needed to allow 3 gallons of water to empty from the bucket in one hour at an altitude of 1117 feet above sea level?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! I do not think this is a math problem, and as a physics problem it seems too complicated to be solved by a simple calculation.
If there is a hole at the bottom of a bucket at some point on the surface of planet Earth, the flow rate of water out of the bucket will depend on
the acceleration of gravity at that particular location, but gravity does not change that much with latitude or altitude. At the top of a 1117-foot cliff above the shore, the acceleration of gravity should be the same as at sea level, and the water would not care how high above sea level the hole in the bucket is.
The shape of the bucket will determine what the level of the water is as a function of volume of water in the bucket, and I expect the flow rate to depend on
the level of the water above the hole, and
the size, shape, and location of the hole.
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