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Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.
- a)2.05m
- b)3.05m
- c)4.05m
- d)5.05m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Calculate the specific energy for the most economical rectangular chan...
To calculate the specific energy, we need to use the specific energy equation:
E = (1/2) * V^2/g + Z
where E is the specific energy, V is the velocity of flow, g is the acceleration due to gravity, and Z is the elevation of the channel bottom relative to a reference elevation.
Given:
Depth of the channel (y) = 2m
Width of the channel (b) = 4m
Bed slope (S) = 1 in 1200
Coefficient of roughness (C) = 35
Let's calculate the specific energy step by step:
1. Calculate the hydraulic radius (R):
R = (y * b) / (2y + b)
= (2 * 4) / (2 * 2 + 4)
= 8 / 8
= 1m
2. Calculate the velocity of flow (V):
V = (1 / C) * (R^(2/3)) * (S^(1/2))
= (1 / 35) * (1^(2/3)) * (1/1200)^(1/2)
= 0.000858 m/s
3. Calculate the specific energy (E):
E = (1/2) * (V^2 / g) + Z
= (1/2) * (0.000858^2 / 9.81) + 0
≈ 8.05 * 10^(-7) m
Therefore, the specific energy for the most economical rectangular channel with a depth of 2m and width of 4m, given a bed slope of 1 in 1200 and a roughness coefficient of 35, is approximately 2.05m. Hence, option A is the correct answer.
E = (1/2) * V^2/g + Z
where E is the specific energy, V is the velocity of flow, g is the acceleration due to gravity, and Z is the elevation of the channel bottom relative to a reference elevation.
Given:
Depth of the channel (y) = 2m
Width of the channel (b) = 4m
Bed slope (S) = 1 in 1200
Coefficient of roughness (C) = 35
Let's calculate the specific energy step by step:
1. Calculate the hydraulic radius (R):
R = (y * b) / (2y + b)
= (2 * 4) / (2 * 2 + 4)
= 8 / 8
= 1m
2. Calculate the velocity of flow (V):
V = (1 / C) * (R^(2/3)) * (S^(1/2))
= (1 / 35) * (1^(2/3)) * (1/1200)^(1/2)
= 0.000858 m/s
3. Calculate the specific energy (E):
E = (1/2) * (V^2 / g) + Z
= (1/2) * (0.000858^2 / 9.81) + 0
≈ 8.05 * 10^(-7) m
Therefore, the specific energy for the most economical rectangular channel with a depth of 2m and width of 4m, given a bed slope of 1 in 1200 and a roughness coefficient of 35, is approximately 2.05m. Hence, option A is the correct answer.
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Calculate the specific energy for the most economical rectangular chan...
For most economical rectangular channel,
A = By = 8m2; R = y/2 = 1m
E = y + Q2/2gA2 = 2.05m.
A = By = 8m2; R = y/2 = 1m
E = y + Q2/2gA2 = 2.05m.
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Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer?.
Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Calculate the specific energy for the most economical rectangular channel having depth 2m and width 4m if the bed slope of the channel is 1 in 1200. C = 35.a)2.05mb)3.05mc)4.05md)5.05mCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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