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Which one of the following statements is correct?
The pressure centre is:
The pressure centre is:
- a)The cycloid of the pressure prism
- b)A point on the line of action of the resultant force
- c)At the centroid of the submerged area
- d)Always above the centroid of the area
Correct answer is option 'B'. Can you explain this answer?
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Which one of the following statements is correct?The pressure centre i...
Ans. (b)
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Which one of the following statements is correct?The pressure centre i...
Explanation:
The pressure centre refers to the point on the line of action of the resultant force, where the entire pressure force acting on a submerged surface can be assumed to act. This point is also known as the center of pressure.
Importance of Pressure Centre:
Understanding the concept of the pressure centre is important in fluid mechanics and hydrodynamics because it helps in analyzing the forces and moments exerted on submerged surfaces. By knowing the location of the pressure centre, engineers can predict the behavior and stability of structures such as dams, ships, and submarines.
Options:
Let's analyze the given options to determine the correct statement.
a) The cycloid of the pressure prism: This option is incorrect as the cycloid of the pressure prism refers to the locus of points traced by the pressure center as the surface rotates. It does not represent the pressure center itself.
b) A point on the line of action of the resultant force: This option is correct. The pressure center is a point on the line where the resultant force of the pressure distribution acts. It represents the point where the entire pressure force can be assumed to act.
c) At the centroid of the submerged area: This option is incorrect. The pressure center is not always located at the centroid of the submerged area. The centroid refers to the geometric center of the area, while the pressure center depends on the distribution and magnitude of the pressure forces.
d) Always above the centroid of the area: This option is incorrect. The position of the pressure center can vary and may or may not be above the centroid of the area. It depends on the specific pressure distribution and geometry of the submerged surface.
Therefore, the correct statement is option 'B' - The pressure center is a point on the line of action of the resultant force.
The pressure centre refers to the point on the line of action of the resultant force, where the entire pressure force acting on a submerged surface can be assumed to act. This point is also known as the center of pressure.
Importance of Pressure Centre:
Understanding the concept of the pressure centre is important in fluid mechanics and hydrodynamics because it helps in analyzing the forces and moments exerted on submerged surfaces. By knowing the location of the pressure centre, engineers can predict the behavior and stability of structures such as dams, ships, and submarines.
Options:
Let's analyze the given options to determine the correct statement.
a) The cycloid of the pressure prism: This option is incorrect as the cycloid of the pressure prism refers to the locus of points traced by the pressure center as the surface rotates. It does not represent the pressure center itself.
b) A point on the line of action of the resultant force: This option is correct. The pressure center is a point on the line where the resultant force of the pressure distribution acts. It represents the point where the entire pressure force can be assumed to act.
c) At the centroid of the submerged area: This option is incorrect. The pressure center is not always located at the centroid of the submerged area. The centroid refers to the geometric center of the area, while the pressure center depends on the distribution and magnitude of the pressure forces.
d) Always above the centroid of the area: This option is incorrect. The position of the pressure center can vary and may or may not be above the centroid of the area. It depends on the specific pressure distribution and geometry of the submerged surface.
Therefore, the correct statement is option 'B' - The pressure center is a point on the line of action of the resultant force.
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Which one of the following statements is correct?The pressure centre is:a)The cycloid of the pressure prismb)A point on the line of action of the resultant forcec)At the centroid of the submerged aread)Always above the centroid of the areaCorrect answer is option 'B'. Can you explain this answer?
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