River physics

how  high,and fast does a river have to get to move a 450 lbs. box 2ft x 3ft x 8 inches and how far will it travel ?


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Love is the battery of life....

Hi,


I am surprised that no one answered your question.  In fact the size of the box is not the issue, what matters is how much does it float.  If it floats well it might be immersed only several c"m / inches in the water and that should be the minimum river's depth.  No way to answer how far will it go:  It all depends on many factors: The stream's speed, the width of the river, the type of the river's banks, is the river straight or with many curves, are there obstacles in the river that might block the box, etc.  So the box can have a very short way or go all the way to the very end (or anything inbetween).
Best regards,

Posted 1 year ago ( permalink )
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I dont believe it would float it is full of coins, river width is about 50ft.,the bed is mostly gravel, river is very twisted, the banks one side is mostly rock bluff the other side is a wooded area I have an avg height & flow for the past 22 yrs.just not with me today may be  some of this can help.


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My Brain is my second preferred organ.

The first step is to know if your box floats or sinks. I converted everything in MKSA standard, aka metric units, the only way to make physics ;-) :

Your box weights 204 kg for a volume of 0.111 m3. So your box has twice the density of water : it sinks like a stone.

Then Archimede's law says a force of 111 kg, a bit more than half of your box weight pushes it upwards, which lets 204-111 = 93 kg of apparent weight in water.

Now you need to know the friction of your box with the river bottom, and the speed water to know if it is strong enough to move or roll the box in the current. I can make a calculation with a CFD software, but you'd have to pay for it ;-)


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