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A rectangular channel is 6 m wide and discharges 30 m3s-1. The upstream depth is 2.0 m, acceleration due to gravity is 10 ms-2. Then, what is the specific energy (approximate)?
- a)2.5
- b)0.3
- c)2.3
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rectangular channel is 6 m wide and discharges 30 m3s-1. The upstrea...
We know that,
Q = AV
⇒ \/ = 2.5 m/s
The specific energy may be given as,
Q = AV
⇒ \/ = 2.5 m/s
The specific energy may be given as,
Most Upvoted Answer
A rectangular channel is 6 m wide and discharges 30 m3s-1. The upstrea...
Given data:
Width of the rectangular channel (B) = 6 m
Discharge (Q) = 30 m3/s
Upstream depth (y1) = 2.0 m
Acceleration due to gravity (g) = 10 m/s2
Specific energy (E) can be calculated using the following formula:
E = y + Q2/2gA2
Where,
y = Depth of flow at a point (m)
A = Cross-sectional area of flow (m2)
Calculation:
The cross-sectional area of flow (A) can be calculated as:
A = By1
A = 6 × 2
A = 12 m2
Velocity of flow (V) can be calculated as:
V = Q/A
V = 30/12
V = 2.5 m/s
Specific energy (E) can be calculated as:
E = y1 + (Q2/2gA2)
E = 2.0 + [(30)2/2 × 10 × (12)2]
E = 2.3 m
Therefore, the specific energy of the rectangular channel is 2.3 m (approximate). Hence, option (C) is the correct answer.
Width of the rectangular channel (B) = 6 m
Discharge (Q) = 30 m3/s
Upstream depth (y1) = 2.0 m
Acceleration due to gravity (g) = 10 m/s2
Specific energy (E) can be calculated using the following formula:
E = y + Q2/2gA2
Where,
y = Depth of flow at a point (m)
A = Cross-sectional area of flow (m2)
Calculation:
The cross-sectional area of flow (A) can be calculated as:
A = By1
A = 6 × 2
A = 12 m2
Velocity of flow (V) can be calculated as:
V = Q/A
V = 30/12
V = 2.5 m/s
Specific energy (E) can be calculated as:
E = y1 + (Q2/2gA2)
E = 2.0 + [(30)2/2 × 10 × (12)2]
E = 2.3 m
Therefore, the specific energy of the rectangular channel is 2.3 m (approximate). Hence, option (C) is the correct answer.
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A rectangular channel is 6 m wide and discharges 30 m3s-1. The upstream depth is 2.0 m, acceleration due to gravity is 10 ms-2. Then, what is the specific energy (approximate)?a)2.5b)0.3c)2.3d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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