Fluid Mechanics: Net Force & Point of Action Calculation

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In summary, the question asks for the net force on a vertical lock gate with water levels of 10.0 m and 4.0 m on either side. The relevant equation is Bernoulli's Equation. The solution involves finding the pressure difference on the wall at each height and integrating the difference in forces from the bottom to the top. A diagram may be needed for further clarification.
  • #1
noah176
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Homework Statement



Question 1. Water is stored either side of a vertical lock gate as shown in Figure Q1 The water level on one side of the wall is 10.0 m, on the other side it is 4.0 m. Determine the net force on the wall, per metre length, and the location of the point of action of the force.
10.0
4.0

Homework Equations



Bernoulli's Equation

The Attempt at a Solution



I wasn't sure at all how to answer the question
 
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  • #2
Is there meant to be a diagram attached?

This looks like a hydrostatics question so Bernoulli's eqn is not what you want.
 
  • #3
noah176 said:

Homework Statement



Question 1. Water is stored either side of a vertical lock gate as shown in Figure Q1 The water level on one side of the wall is 10.0 m, on the other side it is 4.0 m. Determine the net force on the wall, per metre length, and the location of the point of action of the force.
10.0
4.0

Homework Equations



Bernoulli's Equation


The Attempt at a Solution



I wasn't sure at all how to answer the question

Welcome to the PF.

If you could scan & post a copy of the figure being referenced, that would help out some. And what do you mean by Bernoulli's Equation being the only relevant equation?

So it sounds like you need to figure out the pressure difference on the wall at each height h, and integrate the difference in forces on the wall from the bottom to the top. Does that make any sense?
 

Related to Fluid Mechanics: Net Force & Point of Action Calculation

1. What is fluid mechanics?

Fluid mechanics is the branch of physics that deals with the study of fluids (liquids and gases) and the forces that act on them. It involves the analysis of how fluids behave under different conditions, such as when they are in motion or at rest.

2. What is net force in fluid mechanics?

Net force in fluid mechanics refers to the sum of all the forces acting on a fluid in a particular direction. It is calculated by taking into account all the external and internal forces that act on the fluid, such as pressure, gravity, and viscous forces.

3. How do you calculate net force in fluid mechanics?

The net force on a fluid can be calculated using the fundamental laws of fluid mechanics, namely the continuity equation, Bernoulli's equation, and the Navier-Stokes equations. These equations take into account factors such as fluid density, velocity, and pressure to determine the net force acting on the fluid.

4. What is the point of action in fluid mechanics?

The point of action in fluid mechanics refers to the location where a force is applied on a fluid. This point is important in determining the effect of the force on the fluid, as it can influence factors such as fluid flow and pressure distribution.

5. How do you calculate the point of action in fluid mechanics?

The point of action can be calculated by using the principle of moments, which states that the moment of a force about a point is equal to the product of the force and the perpendicular distance from the point to the line of action of the force. By considering all the forces acting on a fluid and their respective moments, the point of action can be determined.

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