Force of Water on L-Shaped Tank Faces

Because the force on face B is not constant. It is a function of the distance in the tank from face A. In other words, the pressure is not constant.In summary, we are given an L-shaped tank filled with water and open at the top. The force on face A due to the water is 2.5*10^6 N and the force on face B due to the water is 3.1*10^6 N. The net force on face A is 5*10^6 N and the net force on face B is 5.6*10^6 N. These values were found by using the equations FA = rwghA*AA and FB = rwg(P
  • #1
PremedBeauty
25
0
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
 
Last edited:
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  • #2
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)?
 

FAQ: Force of Water on L-Shaped Tank Faces

What is the force of water on L-shaped tank faces?

The force of water on L-shaped tank faces is the pressure exerted by the weight of the water on the walls of the tank. This force is determined by the volume of water, the height of the water level, and the shape of the tank.

How is the force of water on L-shaped tank faces calculated?

The force of water on L-shaped tank faces is calculated using the formula F = ρghA, where ρ is the density of water, g is the gravitational acceleration, h is the height of the water level, and A is the surface area of the tank walls.

What factors can affect the force of water on L-shaped tank faces?

The factors that can affect the force of water on L-shaped tank faces include the shape and size of the tank, the volume of water, the height of the water level, and the density of water. Changes in any of these factors can alter the force of water on the tank walls.

How does the force of water on L-shaped tank faces impact the structural integrity of the tank?

The force of water on L-shaped tank faces can put pressure on the walls of the tank, which can lead to structural damage if the tank is not designed to withstand this force. It is important for engineers to consider the force of water when designing and constructing L-shaped tanks to ensure their structural integrity.

Are there any precautions that should be taken to reduce the force of water on L-shaped tank faces?

Yes, there are precautions that can be taken to reduce the force of water on L-shaped tank faces. These include using thicker and stronger materials for the tank walls, designing the tank with reinforcements, maintaining proper water levels, and using supports or braces to distribute the force of water evenly across the tank walls.

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