# Pressure of a Tank hatch

1. Nov 12, 2009

### VelvetRebel

Force of a Tank Hatch in terms of Pressure

1. The problem statement, all variables and given/known data

The tank shown in the figure below is filled with water to a depth of H1 = 1.88 m.
http://educog.com/res/brookscole/serway/Physics_for_Scientists_and_Engineers_6ed/Chap14/graphics/serb1514.gif
At the bottom of one of the side walls is a rectangular hatch H2 = 1.15 m high and W = 1.90 m wide. The hatch is hinged at its top. Determine the magnitude of the force that the water exerts on the hatch.

2. Relevant equations
F=$$\int^{H1-H2}_{0} W\rho g(H1-y)dy$$

3. The attempt at a solution
The equation above is what my professor gave us in class to use for this problem.
For the solved integral, I got:
W$$\rho$$g[H1y-y2/2]
After putting in all the numbers, I don't get the right answer. Is my solved integral wrong? Or did my professor give us the wrong integral?

Last edited by a moderator: Apr 24, 2017
2. Nov 12, 2009

### mgb_phys

Specifically think about what a integral means in this case.

(hint - 'average' pressure on the hatch?)

3. Nov 12, 2009

### VelvetRebel

Re: Force of a Tank Hatch in terms of Pressure

EDIT: Nevermind, I figured it out.

Last edited: Nov 12, 2009