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 The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3m and 1 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?
  • a)
    1.125
  • b)
    1.25
  • c)
    2.125
  • d)
    2.25
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The greatest and the least depth of a circular plate of 4 m diameter f...
Explanation: The depth of the centroid y and the centre of pressure yCP are related by:

where I= the moment of inertia and A = area and θ = the angle of inclination of the lamina to the horizontal. Now,
y = 1 + 3 – 1 / 2 = 2, I = π ⁄ 64 * 42 = 4π, A = π ⁄ 4 * 42 = 4π, sin θ = 1 ⁄ 2 Thus, yCP = 2.125m.
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The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3m and 1 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?a)1.125b)1.25c)2.125d)2.25Correct answer is option 'C'. Can you explain this answer?
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