You know those (somewhat) interesting problems about water troughs you slugged through in high school Calculus?

http://www.mathalino.com/reviewer/differential-calculus/04-05-water-flowing-triangular-trough

http://www.mathalino.com/reviewer/differential-calculus/04-05-water-flowing-triangular-trough

Well, unlike the similar triangles of a whale tale, this problem might actually be of real use. Behold:

It takes about 8ish hours of driving rain to fill this thing. Something I've witnessed twice in less than a year (maybe you've heard of us?). Surprisingly it doesn't overflow the bank (though it will spill into a road upstream). How many parachutes did this civil engineer pack? How many sources feed this thing? What keeps it from overflowing? Is there a bigger outlet upstream? What kind of flow rates are possible? How long after the rain stops would it drain? And biggest of all, just how much water is that?

Posted
AuthorJonathan Claydon