Pressure of a Tank hatch

  • #1
Force of a Tank Hatch in terms of Pressure

Homework Statement



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.

Homework Equations


F=[tex]\int^{H1-H2}_{0} W\rho g(H1-y)dy[/tex]

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[tex]\rho[/tex]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?
 
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Answers and Replies

  • #2
mgb_phys
Science Advisor
Homework Helper
7,774
13
Before you do the maths, think about the answer.
Specifically think about what a integral means in this case.

(hint - 'average' pressure on the hatch?)
 
  • #3


EDIT: Nevermind, I figured it out.
 
Last edited:

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