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In a fluid system, the point of intersection of the line of action of the resultant hydrostatic force and the corresponding surface is known as:
- a)centre of locust
- b)centre of velocity
- c)centre of momentum
- d)centre of pressure
Correct answer is option 'D'. Can you explain this answer?
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In a fluid system, the point of intersection of the line of action of ...
Centre of Pressure
The centre of pressure is the point of intersection of the line of action of the resultant hydrostatic force and the corresponding surface in a fluid system. This point plays a crucial role in determining the stability and equilibrium of submerged or floating bodies.
Significance
- The centre of pressure helps in understanding the distribution of pressure forces acting on a surface immersed in a fluid.
- It is essential for calculating the net hydrostatic force acting on a submerged object.
- Knowing the centre of pressure is crucial for designing structures like dams, ships, and offshore platforms to ensure stability and prevent structural failure.
Calculation
- The centre of pressure can be determined by analyzing the moments of the hydrostatic forces acting on the surface.
- It is usually located below the centroid of the submerged surface, depending on the shape and orientation of the object.
Applications
- In civil engineering, the concept of the centre of pressure is used in designing water-retaining structures, such as retaining walls and dams.
- In naval architecture, understanding the centre of pressure is vital for designing ships and submarines to ensure they remain stable under different loading conditions.
In conclusion, the centre of pressure is a critical concept in fluid mechanics and plays a significant role in engineering design and analysis. Understanding its significance and calculation is essential for ensuring the safety and stability of various structures in fluid systems.
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In a fluid system, the point of intersection of the line of action of ...
Centre of pressure:
The point of intersection of the line of action of the resultant hydrostatic force and the corresponding surface is called the center of pressure. The Centre of pressure is also defined as the point of application of the total pressure on the corresponding surface.
The point of intersection of the line of action of the resultant hydrostatic force and the corresponding surface is called the center of pressure. The Centre of pressure is also defined as the point of application of the total pressure on the corresponding surface.
- According to Pascal’s Law, the pressure or intensity of pressure at a point in a static fluid is equal in all directions.
- For a plane surface of arbitrary shape immersed in a liquid in such a way that the plane of the surface makes an angle θ with the free surface of the liquid:
A = Total area of an inclined surface, h̅ = Depth of centre of gravity of inclined area from a free surface, h* = Distance of centre of pressure from the free surface of a liquid
For vertical plane surface: θ = 90°
The following facts can be concluded from the above equations:
For vertical plane surface: θ = 90°
The following facts can be concluded from the above equations:
- The Center of pressure lies below the centroid because for any plane surface, the factor IG/Ah is always positive
- The deeper the surface is lowered into the liquid (i.e. greater is the value of h̅), the closer comes the center of pressure to the centroid of the area
- The depth of the center of pressure is independent of the specific weight of the liquid and is consequently the same for all liquids
Total Pressure:
The total pressure on a surface immersed in a liquid depends on its inclination to the liquid surface.
The total pressure on a surface immersed in a liquid depends on its inclination to the liquid surface.
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In a fluid system, the point of intersection of the line of action of the resultant hydrostatic force and the corresponding surface is known as:a)centre of locustb)centre of velocityc)centre of momentumd)centre of pressureCorrect answer is option 'D'. Can you explain this answer?
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