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A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4?
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A rectangular plate submersed in a liquid with its base b and height h...
Explanation:
When a rectangular plate is submerged in a liquid, the pressure distribution on its surface is not uniform. The pressure on the top part of the plate is less than the pressure on the bottom part. The centre of pressure is the point at which the total pressure force on the plate acts. It is important to locate the centre of pressure because it is the point where the resultant force acts.
Determination of the Centre of Pressure:
The centre of pressure of a submerged rectangular plate can be determined using the following formula:
CP = h/2 + (Iy/Ab)
Where,
CP = Centre of pressure
h = Height of the plate
Iy = Moment of inertia of the plate about the y-axis
Ab = Area of the plate
The moment of inertia of a rectangular plate about its axis is given by the formula:
Iy = (1/12)bh^3
Substituting this value in the formula for the centre of pressure, we get:
CP = h/2 + ((1/12)bh^3)/(bh)
Simplifying this expression, we get:
CP = h/2 + (h/12)
Therefore, the centre of pressure is given by:
CP = (2h + h)/4
CP = 3h/4
Answer:
Therefore, the correct option is (4) 3h/4.
When a rectangular plate is submerged in a liquid, the pressure distribution on its surface is not uniform. The pressure on the top part of the plate is less than the pressure on the bottom part. The centre of pressure is the point at which the total pressure force on the plate acts. It is important to locate the centre of pressure because it is the point where the resultant force acts.
Determination of the Centre of Pressure:
The centre of pressure of a submerged rectangular plate can be determined using the following formula:
CP = h/2 + (Iy/Ab)
Where,
CP = Centre of pressure
h = Height of the plate
Iy = Moment of inertia of the plate about the y-axis
Ab = Area of the plate
The moment of inertia of a rectangular plate about its axis is given by the formula:
Iy = (1/12)bh^3
Substituting this value in the formula for the centre of pressure, we get:
CP = h/2 + ((1/12)bh^3)/(bh)
Simplifying this expression, we get:
CP = h/2 + (h/12)
Therefore, the centre of pressure is given by:
CP = (2h + h)/4
CP = 3h/4
Answer:
Therefore, the correct option is (4) 3h/4.
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A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4?
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A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4? 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 A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4?.
A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4? 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 A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plate submersed in a liquid with its base b and height h at the free surface the centre of the pressure from the free surface is (1) h/2 (2) b/2 (3) 2h/3 (4) 3h/4?.
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