Basics of hydrostatic force on a plane surface

In summary, the conversation discusses the concept and calculation of hydrostatic thrust on a surface immersed in water. The pressure of a fluid on a surface is dependent on the area and direction, and the total thrust can be found by multiplying the pressure with the area. However, if the surface is not horizontal, the calculation becomes more complex. The homework task is to determine the hydrostatic thrust and its line of action on a non-horizontal surface, which involves understanding the equation h''' = sin 90 ( Ixx / Pcg A ). The speaker requests guidance in understanding this equation.
  • #1
Mohammad Danial
1
0
1. Introduction

Pressure of a fluid exerts thrust on each part of a surface with which the fluid made contact. Each forces distributed over the area have a resultant magnitude and direction that is very crucial. For a horizontal surface, the pressure does not vary over the plane. Thus, the total force is the product of the pressure and the area. Its direction is perpendicular to the plane. But if the surface is not horizontal, the pressure varies at each point of the surface. Thus, the calculation of the total thrust is different.

2. Homework Statement

To determine the hydrostatic thrust acting on a plane surface immersed in water. Besides that, identify the position of the line of action of the thrust

Homework Equations


No.1.png
No.2.png


i don't get it how to get h''' especially the part sin 90( Ixx/Pcg A ). I would really appreciate it if someone can give me some guidance to understand it. Thank you

The Attempt at a Solution

 
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  • #2
That's quite a complicated diagram, and far from self-explanatory. A textual description would help.
 

Related to Basics of hydrostatic force on a plane surface

1. What is hydrostatic force?

Hydrostatic force is the force exerted by a fluid at rest on a surface. It is a result of the weight of the fluid above the surface and is perpendicular to the surface.

2. How is hydrostatic force calculated?

Hydrostatic force is calculated by multiplying the density of the fluid by the acceleration due to gravity and the surface area. The formula is F = ρghA, where ρ is the density of the fluid, g is the acceleration due to gravity, h is the height of the fluid above the surface, and A is the surface area.

3. What is a plane surface in relation to hydrostatic force?

A plane surface is a flat surface that is perpendicular to the direction of the hydrostatic force. In other words, it is a surface that is facing directly towards or away from the fluid.

4. How does the depth of the fluid affect hydrostatic force?

The depth of the fluid affects hydrostatic force because the pressure of the fluid increases with depth. This means that the hydrostatic force also increases with depth, as there is more weight of the fluid above the surface.

5. What is the principle of Pascal's law and how does it relate to hydrostatic force?

Pascal's law states that pressure applied to a fluid in a closed system will be transmitted equally in all directions. This means that the hydrostatic force acting on a surface is distributed evenly, regardless of the shape or size of the surface. In other words, the amount of hydrostatic force on a plane surface is the same no matter where the force is applied on the surface.

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