00:01
Determine the water depth h.
00:03
So here i've just drawn a picture depicting our word problem.
00:10
So we'd like to find h.
00:12
We can consider this formula to find the center of our pressure.
00:17
Our h prime is equal to h plus our moment of inertia about g divided by a times h.
00:27
But a is just our area.
00:29
So now we can plug in our values.
00:31
We have h minus 2 .5, that's at 2 .5 feet, equal to h minus 6 plus 3, plus that moment of inertia at g, which is 6 times 5 cubed divided by 12, and divide by our area, which is 6 times 5, times h, which is h minus 6 plus 3.
00:59
So now we're just setting this up to solve for h.
01:03
If we multiply all the required values and try to bring h to one side, we can get h squared minus 5 .5h plus 7 .5 is equal to h squared plus 9 minus 6h plus 2 .08...