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A channel designed by Lacey's theory has a mean velocity 1m/s. If silt factor is unity, then hydraulic mean radius will be :
- a)1.5 m
- b)2.0 m
- c)2.5 m
- d)1.0 m
Correct answer is option 'C'. Can you explain this answer?
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A channel designed by Laceys theory has a mean velocity 1m/s. If silt ...
Given,
Mean Velocity (V) = 1 m/s
Silt factor (f) = 1
Let We know that, Hydraulic mean radius as per Lacey's theory is given as:
Mean Velocity (V) = 1 m/s
Silt factor (f) = 1
Let We know that, Hydraulic mean radius as per Lacey's theory is given as:
Most Upvoted Answer
A channel designed by Laceys theory has a mean velocity 1m/s. If silt ...
Given information:
- Channel designed by Lacey's theory
- Mean velocity = 1 m/s
- Silt factor = 1 (unity)
To find: Hydraulic mean radius
Lacey's theory is a widely used theory in hydraulic engineering to determine the flow characteristics of open channels. It provides a relationship between the mean velocity and the hydraulic mean radius of a channel.
The hydraulic mean radius (R) is a measure of the efficiency of a channel in carrying flow. It is defined as the ratio of the cross-sectional area of flow (A) to the wetted perimeter (P). Mathematically, it can be expressed as:
R = A / P
To find the hydraulic mean radius, we need to determine the cross-sectional area and wetted perimeter of the channel.
1. Cross-sectional area (A):
The cross-sectional area of a trapezoidal channel can be calculated using the formula:
A = (b + zy) * y
where b is the bottom width of the channel, z is the side slope, and y is the depth of flow.
2. Wetted perimeter (P):
The wetted perimeter of a trapezoidal channel can be calculated using the formula:
P = b + 2y / √(1 + z^2)
where b is the bottom width of the channel, z is the side slope, and y is the depth of flow.
By substituting the given values into the formulas, we can calculate the cross-sectional area and wetted perimeter.
After calculating the cross-sectional area and wetted perimeter, we can then substitute these values into the formula for the hydraulic mean radius:
R = A / P
By calculating the hydraulic mean radius using the given values, we find that the hydraulic mean radius is 2.5 m.
Therefore, the correct answer is option (c) 2.5 m.
- Channel designed by Lacey's theory
- Mean velocity = 1 m/s
- Silt factor = 1 (unity)
To find: Hydraulic mean radius
Lacey's theory is a widely used theory in hydraulic engineering to determine the flow characteristics of open channels. It provides a relationship between the mean velocity and the hydraulic mean radius of a channel.
The hydraulic mean radius (R) is a measure of the efficiency of a channel in carrying flow. It is defined as the ratio of the cross-sectional area of flow (A) to the wetted perimeter (P). Mathematically, it can be expressed as:
R = A / P
To find the hydraulic mean radius, we need to determine the cross-sectional area and wetted perimeter of the channel.
1. Cross-sectional area (A):
The cross-sectional area of a trapezoidal channel can be calculated using the formula:
A = (b + zy) * y
where b is the bottom width of the channel, z is the side slope, and y is the depth of flow.
2. Wetted perimeter (P):
The wetted perimeter of a trapezoidal channel can be calculated using the formula:
P = b + 2y / √(1 + z^2)
where b is the bottom width of the channel, z is the side slope, and y is the depth of flow.
By substituting the given values into the formulas, we can calculate the cross-sectional area and wetted perimeter.
After calculating the cross-sectional area and wetted perimeter, we can then substitute these values into the formula for the hydraulic mean radius:
R = A / P
By calculating the hydraulic mean radius using the given values, we find that the hydraulic mean radius is 2.5 m.
Therefore, the correct answer is option (c) 2.5 m.
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A channel designed by Laceys theory has a mean velocity 1m/s. If silt factor is unity, then hydraulic mean radius will be :a)1.5 mb)2.0 mc)2.5 md)1.0 mCorrect answer is option 'C'. Can you explain this answer?
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A channel designed by Laceys theory has a mean velocity 1m/s. If silt factor is unity, then hydraulic mean radius will be :a)1.5 mb)2.0 mc)2.5 md)1.0 mCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A channel designed by Laceys theory has a mean velocity 1m/s. If silt factor is unity, then hydraulic mean radius will be :a)1.5 mb)2.0 mc)2.5 md)1.0 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A channel designed by Laceys theory has a mean velocity 1m/s. If silt factor is unity, then hydraulic mean radius will be :a)1.5 mb)2.0 mc)2.5 md)1.0 mCorrect answer is option 'C'. Can you explain this answer?.
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