Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > One end of a two-dimensional water tank has t...
Start Learning for Free
One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will be
- a)9.81π kN
- b)19.62 π kN
- c)29.43π kN
- d)39.24π kN
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
One end of a two-dimensional water tank has the shape of a quadrant of...
B)Zero
c)6.28
d)3.14
The correct answer is d) 3.14.
Explanation:
The vertical component of the force per unit length on the curved surface is given by:
F = ρgH
where ρ is the density of water, g is the acceleration due to gravity, and H is the height of the water column above the curved surface.
In this case, the curved surface is the quadrant of a circle of radius 2 m. The height of the water column above the curved surface will be equal to the height of the quadrant, which is also 2 m.
Therefore, H = 2 m.
Substituting this value into the equation for F, we get:
F = ρg(2 m) = 2ρg
Since ρ and g are constants, the vertical component of the force per unit length on the curved surface is also constant and equal to 2ρg.
Now, we need to determine the value of 2ρg.
The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.81 m/s².
Substituting these values into the equation for F, we get:
F = 2ρg = 2(1000 kg/m³)(9.81 m/s²) = 19620 N/m
This is the total force per unit length on the curved surface. However, we are only interested in the vertical component of this force.
Since the curved surface is a quadrant of a circle, we can use the formula for the area of a quadrant to find the length of the curved surface:
A = (1/4)πr²
where r is the radius of the circle.
Substituting r = 2 m, we get:
A = (1/4)π(2 m)² = π m²
Therefore, the vertical component of the force per unit length on the curved surface is:
Fv = F/A = (19620 N/m)/(π m²) ≈ 3.14 N/m
So the correct option is d) 3.14.
c)6.28
d)3.14
The correct answer is d) 3.14.
Explanation:
The vertical component of the force per unit length on the curved surface is given by:
F = ρgH
where ρ is the density of water, g is the acceleration due to gravity, and H is the height of the water column above the curved surface.
In this case, the curved surface is the quadrant of a circle of radius 2 m. The height of the water column above the curved surface will be equal to the height of the quadrant, which is also 2 m.
Therefore, H = 2 m.
Substituting this value into the equation for F, we get:
F = ρg(2 m) = 2ρg
Since ρ and g are constants, the vertical component of the force per unit length on the curved surface is also constant and equal to 2ρg.
Now, we need to determine the value of 2ρg.
The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.81 m/s².
Substituting these values into the equation for F, we get:
F = 2ρg = 2(1000 kg/m³)(9.81 m/s²) = 19620 N/m
This is the total force per unit length on the curved surface. However, we are only interested in the vertical component of this force.
Since the curved surface is a quadrant of a circle, we can use the formula for the area of a quadrant to find the length of the curved surface:
A = (1/4)πr²
where r is the radius of the circle.
Substituting r = 2 m, we get:
A = (1/4)π(2 m)² = π m²
Therefore, the vertical component of the force per unit length on the curved surface is:
Fv = F/A = (19620 N/m)/(π m²) ≈ 3.14 N/m
So the correct option is d) 3.14.
Free Test
FREE
| Start Free Test |
Community Answer
One end of a two-dimensional water tank has the shape of a quadrant of...
Vertical component of force=(1000×9.81×π×2^2)/(1000×4)=9.81π kN
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
One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer?
Question Description
One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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 One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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 One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer?.
One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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 One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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 One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer?.
Solutions for One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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 One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice One end of a two-dimensional water tank has the shape of a quadrant of a circle of radius 2 m. When the tank is full, the vertical component of the force per unit length on the curved surface will bea)9.81π kNb)19.62π kNc)29.43π kNd)39.24π kNCorrect answer is option 'A'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup