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A rectangular open channel has a width of 5m and a bed slope of 0.001. For a uniform flow of depth 2m, the velocity is 2m/s. The Manning’s roughness coefficient for the channel is
  • a)
    0.033
  • b)
    0.050
  • c)
    0.002
  • d)
    0.017
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A rectangular open channel has a width of 5m and a bed slope of 0.001....
For a rectangular channel
Width of channel = 5 m
Depth of flow = 2 m
Bed slope = 0.001
Velocity V = 2 m/sec.
From manning’s


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Most Upvoted Answer
A rectangular open channel has a width of 5m and a bed slope of 0.001....
The Manning's equation is used to calculate the flow velocity in an open channel. It is given by:

V = (1/n) * (R^(2/3)) * (S^(1/2))

Where:
V = Flow velocity (m/s)
n = Manning's roughness coefficient (dimensionless)
R = Hydraulic radius (m)
S = Bed slope (dimensionless)

We are given:
Width (b) = 5m
Depth (y) = 2m
Bed slope (S) = 0.001

To find the hydraulic radius (R), we can use the formula:

R = (b * y) / (b + 2y)

Substituting the given values, we get:

R = (5 * 2) / (5 + 2*2)
R = 10 / 9
R = 1.1111 m

Now, we can rearrange the Manning's equation to solve for the roughness coefficient (n):

n = (V * (R^(2/3))) / (S^(1/2))

Substituting the given values, we get:

n = (2 * (1.1111^(2/3))) / (0.001^(1/2))
n = (2 * (1.1111^(2/3))) / (0.0316)
n = (2 * 1.0811) / (0.0316)
n = 68.17

Therefore, the Manning's roughness coefficient (n) for this open channel is approximately 68.17.
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A rectangular open channel has a width of 5m and a bed slope of 0.001. For a uniform flow of depth 2m, the velocity is 2m/s. The Manning’s roughness coefficient for the channel isa)0.033b)0.050c)0.002d)0.017Correct answer is option 'D'. Can you explain this answer?
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A rectangular open channel has a width of 5m and a bed slope of 0.001. For a uniform flow of depth 2m, the velocity is 2m/s. The Manning’s roughness coefficient for the channel isa)0.033b)0.050c)0.002d)0.017Correct 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 open channel has a width of 5m and a bed slope of 0.001. For a uniform flow of depth 2m, the velocity is 2m/s. The Manning’s roughness coefficient for the channel isa)0.033b)0.050c)0.002d)0.017Correct 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 open channel has a width of 5m and a bed slope of 0.001. For a uniform flow of depth 2m, the velocity is 2m/s. The Manning’s roughness coefficient for the channel isa)0.033b)0.050c)0.002d)0.017Correct answer is option 'D'. Can you explain this answer?.
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