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A circular plate 5.0 m diameter is immersed in such a way that its greatest and least depth below the free surface are 3 m and 1 m respectively. determine the position of the centre of pressure.
- a)2.5 m
- b)5 m
- c)4.5 m
- d)6 m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A circular plate 5.0 m diameter is immersed in such a way that its gre...
Explanation: centre of pressure, ŷ=I*sin²θ/Aĥ + ĥ
…….ĥ=(y+dsinθ)
=3.142*2.54*sin²23.58/3.142*2.52*(1+2.5sin23.58)+*(1+2.5sin23.58)
=2.5 m.
…….ĥ=(y+dsinθ)
=3.142*2.54*sin²23.58/3.142*2.52*(1+2.5sin23.58)+*(1+2.5sin23.58)
=2.5 m.
Most Upvoted Answer
A circular plate 5.0 m diameter is immersed in such a way that its gre...
Given:
Diameter of circular plate, D = 5.0 m
Greatest depth below the free surface, h1 = 3 m
Least depth below the free surface, h2 = 1 m
To find: Position of the centre of pressure
Formula used:
The position of the centre of pressure on a vertical plane surface is given by the formula:
x = (2/3)*h1 + (1/3)*h2
Calculation:
Substituting the given values in the formula, we get
x = (2/3)*3 + (1/3)*1
x = 2.0 m
Therefore, the position of the centre of pressure is 2.0 m.
Answer: option A (2.5 m) is incorrect, the correct answer is option A (2.0 m).
Diameter of circular plate, D = 5.0 m
Greatest depth below the free surface, h1 = 3 m
Least depth below the free surface, h2 = 1 m
To find: Position of the centre of pressure
Formula used:
The position of the centre of pressure on a vertical plane surface is given by the formula:
x = (2/3)*h1 + (1/3)*h2
Calculation:
Substituting the given values in the formula, we get
x = (2/3)*3 + (1/3)*1
x = 2.0 m
Therefore, the position of the centre of pressure is 2.0 m.
Answer: option A (2.5 m) is incorrect, the correct answer is option A (2.0 m).
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