Force of Water on L-Shaped Tank Faces

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The L-shaped tank shown in Figure 14-33 is filled with water and is open at the top.

hrw7_14-33.gif



(a) If d = 5.0 m, what is the force on face A due to the water?
N (up)
(b) What is the force on face B due to the water?
N (right)

The Force of water on the face A
FA = PA*AA
= rwg hA* AA
= rwg ( 2d ) * AA
0r FA = rwg ( 2d ) * d2
putting the values we get FA = 2.5*106 N
The atmospheric force on the face A = FA= ( 1.013*105 )*( 52)
= 2.5*106 N
Therefore Net force FAnet = Fatmp + FA
FAnet = 5*106 N

b) Force on the face B due to the water alone = FB
FB = PB*AB
= rwg ( 5d /2) d2
FB = 3.1*106 N
Thus, net force on face B FBnet = Fatmp + FBnet
FBnet = 5.6*106 N

I have given the problem a try. Please confirm the answer
 
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I'll leave this problem in Advanced Physics (Instead of Intro Physics) for now, because it appears to require an integration for (b).

Premed -- why do I think you need to use integration for part (b)?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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