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Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?
- a)It always lies below the centroid of the surface. For a horizontal surface the two will coincide.
- b)It’s depth does not depend upon properties of fluid
- c)Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroid
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements is correct regarding the center of ...
Consider the expression for depth of center of pressure for a planar vertical surface.
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hp = hc + IG /
Therefore
1. hp > hc, i. e. P lies below C
2. hp is independent of fluid density or Bulk Modulus. [This is not true if fluid is compressible
3. Also hp − hc = IG / Ahc
i. e. hc ↑ (hp − hc) ↓
Hence all these statements are correct and option (D) is the correct answer.
Most Upvoted Answer
Which of the following statements is correct regarding the center of ...
Consider the expression for depth of center of pressure for a planar vertical surface.
hp = hc + IG /
Therefore
1. hp > hc, i. e. P lies below C
2. hp is independent of fluid density or Bulk Modulus. [This is not true if fluid is compressible
3. Also hp − hc = IG / Ahc
i. e. hc ↑ (hp − hc) ↓
Hence all these statements are correct and option (D) is the correct answer.
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Which of the following statements is correct regarding the center of ...
Understanding Center of Pressure
The center of pressure (CP) is a crucial concept in fluid mechanics, particularly for submerged surfaces. Let's analyze why the correct answer is option 'D'.
Statement A: Depth Relationship
- The CP is generally located below the centroid of the surface due to the pressure distribution in the fluid.
- For a horizontal surface, both the centroid and CP coincide; hence, this statement is correct.
Statement B: Fluid Properties Independence
- The depth of the CP is influenced by the fluid's density, as pressure varies with depth.
- However, for a given submerged surface, the relationship between depth and CP remains constant regardless of fluid properties, making this statement valid.
Statement C: Depth Influence
- As a surface is submerged deeper, the hydrostatic pressure increases, which affects the pressure distribution.
- The CP indeed moves closer to the centroid as depth increases, confirming the correctness of this statement.
Conclusion: All Statements are Correct
- Since all the statements (A, B, and C) are accurate regarding the behavior of the center of pressure for a submerged surface, the answer is 'D' - all of the above.
- This understanding is essential in civil engineering for designing structures interacting with fluids, such as dams and retaining walls.
By grasping these principles, engineers can ensure stable and efficient designs in fluid environments.
The center of pressure (CP) is a crucial concept in fluid mechanics, particularly for submerged surfaces. Let's analyze why the correct answer is option 'D'.
Statement A: Depth Relationship
- The CP is generally located below the centroid of the surface due to the pressure distribution in the fluid.
- For a horizontal surface, both the centroid and CP coincide; hence, this statement is correct.
Statement B: Fluid Properties Independence
- The depth of the CP is influenced by the fluid's density, as pressure varies with depth.
- However, for a given submerged surface, the relationship between depth and CP remains constant regardless of fluid properties, making this statement valid.
Statement C: Depth Influence
- As a surface is submerged deeper, the hydrostatic pressure increases, which affects the pressure distribution.
- The CP indeed moves closer to the centroid as depth increases, confirming the correctness of this statement.
Conclusion: All Statements are Correct
- Since all the statements (A, B, and C) are accurate regarding the behavior of the center of pressure for a submerged surface, the answer is 'D' - all of the above.
- This understanding is essential in civil engineering for designing structures interacting with fluids, such as dams and retaining walls.
By grasping these principles, engineers can ensure stable and efficient designs in fluid environments.
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Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer?
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Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer?.
Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer?.
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Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statements is correct regarding the center of pressure for a planar solid surface submerged in an incompressible fluid?a) It always lies below the centroid of the surface. For a horizontal surface the two will coincide.b) It’s depth does not depend upon properties of fluidc) Deeper the surface goes in a liquid, closer the center of pressure moves towards the centroidd) All of the aboveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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