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Consider a semi-circular surface of a submerged body as shown.
The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.
- a)πR / 16
- b)πR / 32
- c)3πR / 16
- d)R (43π +3π / 16)
Correct answer is option 'C'. Can you explain this answer?
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Consider a semi-circular surface of a submerged body as shown.The top...
hp = hc +Ig / Ahc
But this formula can be a little cumbersome in terms of finding IG, i.e. moment of inertia
about the centroidal axis. Therefore we can also use
hp = I1−1 / Ahc
1-1 is the line of intersection of planar surface with top surface of liquid.
In this case 1-1 is the diameter of the semicircle.
∴ I1−1 = πd4 / 128 = πR4 / 8
i.e. moment of inertia of the semicircle about the diameter.
hp = πR4 / 8 / πR2 / 2 × 4R / 3π
[For semi-circle, centroid lies at a distance of 4R/3π from diameter]
hp = 3πR / 16
Most Upvoted Answer
Consider a semi-circular surface of a submerged body as shown.The top...
hp = hc +Ig / Ahc
But this formula can be a little cumbersome in terms of finding IG, i.e. moment of inertia
about the centroidal axis. Therefore we can also use
hp = I1−1 / Ahc
1-1 is the line of intersection of planar surface with top surface of liquid.
In this case 1-1 is the diameter of the semicircle.
∴ I1−1 = πd4 / 128 = πR4 / 8
i.e. moment of inertia of the semicircle about the diameter.
hp = πR4 / 8 / πR2 / 2 × 4R / 3π
[For semi-circle, centroid lies at a distance of 4R/3π from diameter]
hp = 3πR / 16
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Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer?
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Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer?.
Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a semi-circular surface of a submerged body as shown.The top surface of water coincides with the diameter of the semi-circle. Find out the depth of the center of pressure for the surface.a) πR / 16b) πR / 32c) 3πR / 16d) R (43π +3π / 16)Correct answer is option 'C'. Can you explain this answer?.
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