Question

I challenge you to solve this integral calculus question...

Answer 1

Here's the textbook question. I'm working on part (d):

"A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9ft. If the pool is full of water, find the hydrostatic force on (a) the shallow end, (b) the deep end, (c) one of the sides, and (d) the bottom of the pool."

I figured (d) to be exactly 300,000 lb.

Water: 62.5 lb/cu. ft.

Textbook solution is slightly different. Any takers?

Answer 2

My disdain for this type of question overwhelms me.

Answer 3

A swimming pool is 20 ft wide
and 40 ft long

and its bottom is an inclined plane,

the shallow end having a depth of 3 ft
and the deep end, 9ft.

If the pool is full of water, find
the hydrostatic force on

(a) the shallow end,
(b) the deep end,
(c) one of the sides, and
(d) the bottom of the pool.

Answer 4

How do we measure hydrostatic pressure?

Answer 5

The "weight density" of water is 62.5 lb/cu. ft.

Answer 6

Note that this already includes gravity!

Answer 7

and is bottom refer to that lowest angle? or the slant itself?

Answer 8

The bottom is an *inclined* plane, so I believe that it is slanted. The deep end of the plane is 9 feet.