Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The perimeter of a circular channel section i...
Start Learning for Free
The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.
- a)53.62 m3/s
- b)63.62 m3/s
- c)73.62 m3/s
- d)83.62 m3/s
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The perimeter of a circular channel section is 18.84m, calculate the d...
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (discharge) to the hydraulic radius, channel slope, and Manning's roughness coefficient.
The formula for Manning's equation is:
Q = (1/n) * A * R^(2/3) * S^(1/2)
Where:
Q = Discharge (flow rate)
n = Manning's roughness coefficient
A = Cross-sectional area of the channel
R = Hydraulic radius
S = Channel slope
Given:
Perimeter of the circular channel section = 18.84m
To find the cross-sectional area of the channel:
Circumference of the circular channel = Perimeter = 18.84m
Circumference of a circle = 2πr
18.84 = 2πr
r = 18.84 / (2π)
r ≈ 3m
Cross-sectional area of the circular channel = πr^2
A = π(3^2)
A = 9π
To find the hydraulic radius:
Hydraulic radius (R) = A / P
R = (9π) / 18.84
R ≈ 0.477m
Given:
Bed slope (S) = 1 in 1500
To convert the slope to decimal form:
Slope (S) = 1 / 1500
Given:
Manning's roughness coefficient (n) = 60
Now, substitute the values into Manning's equation:
Q = (1/60) * (9π) * (0.477)^(2/3) * (1/1500)^(1/2)
Calculating this equation will give us the discharge (flow rate) through the channel.
Q ≈ 53.62 m^3/s
Therefore, the correct answer is option A: 53.62 m^3/s.
The formula for Manning's equation is:
Q = (1/n) * A * R^(2/3) * S^(1/2)
Where:
Q = Discharge (flow rate)
n = Manning's roughness coefficient
A = Cross-sectional area of the channel
R = Hydraulic radius
S = Channel slope
Given:
Perimeter of the circular channel section = 18.84m
To find the cross-sectional area of the channel:
Circumference of the circular channel = Perimeter = 18.84m
Circumference of a circle = 2πr
18.84 = 2πr
r = 18.84 / (2π)
r ≈ 3m
Cross-sectional area of the circular channel = πr^2
A = π(3^2)
A = 9π
To find the hydraulic radius:
Hydraulic radius (R) = A / P
R = (9π) / 18.84
R ≈ 0.477m
Given:
Bed slope (S) = 1 in 1500
To convert the slope to decimal form:
Slope (S) = 1 / 1500
Given:
Manning's roughness coefficient (n) = 60
Now, substitute the values into Manning's equation:
Q = (1/60) * (9π) * (0.477)^(2/3) * (1/1500)^(1/2)
Calculating this equation will give us the discharge (flow rate) through the channel.
Q ≈ 53.62 m^3/s
Therefore, the correct answer is option A: 53.62 m^3/s.
Free Test
FREE
| Start Free Test |
Community Answer
The perimeter of a circular channel section is 18.84m, calculate the d...
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
The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer?
Question Description
The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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 The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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 The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer?.
The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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 The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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 The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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 The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.a)53.62 m3/sb)63.62 m3/sc)73.62 m3/sd)83.62 m3/sCorrect 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
|
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