Calc 2 Fluid Force(hydrostatic force probelm) Boston Aquarium?

The viewing portion of the rectangular glass window in a typical fish tank at the New England Aquarium inBoston is 63 in wide and runs from 0.5 inches below the water's surface to 33.5 inches below the surface. The weight-densit of seawater is p= 64lb/ft^3. Find the fluid force against the viewing portionof the window. (Be careful of your units).

176 :)

P=hpg, where
P=pressure at height h.
p= density
g=acceleration due to gravity

F=int P dA, where A is area the pressure is acting on.
= int hpg w dh, where w is 63 in.
= pgw int h dh from 0.5 to 33.5 in
= pgw (h^2)/2 from 0.5 to 33.5 in
= pgw [ (33.5^2 - 0.5^2)/2]

Be careful of your units.