00:01
Okay, a tank with a flat bottom area a and vertical sides is filled to a depth h with water.
00:08
We've got a tank, maybe it looks like this.
00:14
The bottom has an area a.
00:18
It's filled with water to a depth h.
00:25
The pressure at the top is p -0.
00:31
So what is the pressure at the bottom of the tank? well, the hydrostatic pressure equation tells us that pressure at the bottom will be equal to the pressure at the top plus density of the fluid times g times the height of the fluid.
00:57
And where this comes from is if you pretended like you were at the bottom of the tank and you wanted to look at the force on something there due to the fluid, would the force on that little object down there from the fluid would be the weight of the fluid.
01:23
So that's what's pushing down on you, right? is the weight of all that fluid above you? so what's the weight of the fluid? well, it's equal to the mass times the acceleration of gravity.
01:36
The mass is just the density times the volume.
01:41
And then pressure is equal to a force divided by an area...