Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A rectangular plane surface of width 2 m and ...
Start Learning for Free
A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?
- a)4.0755 m
- b)4.0125 m
- c)4.2525 m
- d)4.1875 m
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A rectangular plane surface of width 2 m and height 3 m is placed vert...
Given data:
Width of surface (b) = 2 m
Height of surface (h) = 3 m
Distance of upper edge from free surface of water (h1) = 2.5 m
To calculate the location of center of pressure, we need to find the area of the surface (A) and the height of the center of pressure (h2) from the bottom edge of the surface.
Calculation:
The area of the rectangular surface can be calculated as:
A = b × h
A = 2 × 3
A = 6 m²
The height of the center of pressure can be calculated using the following formula:
h2 = (Iy / Ax) + h1
Where,
Iy = Moment of inertia of the area about the horizontal axis passing through the centroid of the area
Ax = Area of the water plane
The moment of inertia of the rectangular surface about the horizontal axis passing through the centroid of the surface can be calculated as:
Iy = (b × h³) / 12
Iy = (2 × 3³) / 12
Iy = 2.25 m⁴
The area of the water plane can be calculated as:
Ax = b × x
Where x is the distance of the centroid of the water plane from the bottom edge of the surface.
The centroid of the water plane will be at a distance of (2.5 + (3/2)) = 3.5 m from the bottom edge of the surface.
Ax = 2 × 3.5
Ax = 7 m²
Now, we can calculate the height of the center of pressure as:
h2 = (Iy / Ax) + h1
h2 = (2.25 / 7) + 2.5
h2 = 0.3214 + 2.5
h2 = 2.8214 m
Therefore, the location of the center of pressure is 2.8214 m from the bottom edge of the surface. The correct answer is option D.
Width of surface (b) = 2 m
Height of surface (h) = 3 m
Distance of upper edge from free surface of water (h1) = 2.5 m
To calculate the location of center of pressure, we need to find the area of the surface (A) and the height of the center of pressure (h2) from the bottom edge of the surface.
Calculation:
The area of the rectangular surface can be calculated as:
A = b × h
A = 2 × 3
A = 6 m²
The height of the center of pressure can be calculated using the following formula:
h2 = (Iy / Ax) + h1
Where,
Iy = Moment of inertia of the area about the horizontal axis passing through the centroid of the area
Ax = Area of the water plane
The moment of inertia of the rectangular surface about the horizontal axis passing through the centroid of the surface can be calculated as:
Iy = (b × h³) / 12
Iy = (2 × 3³) / 12
Iy = 2.25 m⁴
The area of the water plane can be calculated as:
Ax = b × x
Where x is the distance of the centroid of the water plane from the bottom edge of the surface.
The centroid of the water plane will be at a distance of (2.5 + (3/2)) = 3.5 m from the bottom edge of the surface.
Ax = 2 × 3.5
Ax = 7 m²
Now, we can calculate the height of the center of pressure as:
h2 = (Iy / Ax) + h1
h2 = (2.25 / 7) + 2.5
h2 = 0.3214 + 2.5
h2 = 2.8214 m
Therefore, the location of the center of pressure is 2.8214 m from the bottom edge of the surface. The correct answer is option D.
Free Test
FREE
| Start Free Test |
Community Answer
A rectangular plane surface of width 2 m and height 3 m is placed vert...
Concept:
For a plane surface of arbitrary shape immersed in a liquid in such a way that the plane of the surface makes an angle θ with the free surface of the liquid:
where A = Total area of an inclined surface, h̅ = Depth of centre of gravity of inclined area from a free surface, h* =
Distance of centre of pressure from the free surface of a liquid.
Centre of pressure:
For vertical body θ = 90°
where IG = Moment of Inertia of the body from its centroidal axis.
Calculation:
Given:
Width b = 2 m, Height h = 3 m
h̅ = 2.5 + h/2 = 2.5 + 3/2 = 4 m
For a plane surface of arbitrary shape immersed in a liquid in such a way that the plane of the surface makes an angle θ with the free surface of the liquid:
where A = Total area of an inclined surface, h̅ = Depth of centre of gravity of inclined area from a free surface, h* =
Distance of centre of pressure from the free surface of a liquid.
Centre of pressure:
For vertical body θ = 90°
where IG = Moment of Inertia of the body from its centroidal axis.
Calculation:
Given:
Width b = 2 m, Height h = 3 m
h̅ = 2.5 + h/2 = 2.5 + 3/2 = 4 m
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer?
Question Description
A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. 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 A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. 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 A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer?.
A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. 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 A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. 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 A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A rectangular plane surface of width 2 m and height 3 m is placed vertically in water. What will be the location of center of pressure of the surface when its upper edge is horizontal and lies 2.5 m below the free surface of water?a)4.0755 mb)4.0125 mc)4.2525 md)4.1875 mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup