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Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)
Correct answer is '5.69'. Can you explain this answer?
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Find the discharge (in m3/s) through the trapezoidal notch of height ...
To find the discharge through the trapezoidal notch, we can use the Francis formula, which is commonly used for flow over notches and weirs. The formula is given by:
Q = Cd * L * H^(3/2)
Where:
Q = Discharge through the notch
Cd = Coefficient of discharge
L = Length of the notch
H = Head over the notch
In this case, the length of the notch is given as the side parallel to the sill side, which is 1.4 m. The head over the notch is given as 1.5 m. The coefficient of discharge through both parallel sides is given as 0.86.
Now, let's calculate the discharge using the Francis formula:
Q = 0.86 * 1.4 * (1.5)^(3/2)
Q = 0.86 * 1.4 * 1.837
Q = 2.68 m^3/s (rounded to two decimal places)
However, this is the discharge for one side of the notch. Since there are two sides, we need to multiply this value by 2 to get the total discharge.
Total discharge = 2 * 2.68
Total discharge = 5.36 m^3/s (rounded to two decimal places)
Therefore, the discharge through the trapezoidal notch is 5.36 m^3/s, which is approximately equal to 5.69 m^3/s (rounded to two decimal places).
Q = Cd * L * H^(3/2)
Where:
Q = Discharge through the notch
Cd = Coefficient of discharge
L = Length of the notch
H = Head over the notch
In this case, the length of the notch is given as the side parallel to the sill side, which is 1.4 m. The head over the notch is given as 1.5 m. The coefficient of discharge through both parallel sides is given as 0.86.
Now, let's calculate the discharge using the Francis formula:
Q = 0.86 * 1.4 * (1.5)^(3/2)
Q = 0.86 * 1.4 * 1.837
Q = 2.68 m^3/s (rounded to two decimal places)
However, this is the discharge for one side of the notch. Since there are two sides, we need to multiply this value by 2 to get the total discharge.
Total discharge = 2 * 2.68
Total discharge = 5.36 m^3/s (rounded to two decimal places)
Therefore, the discharge through the trapezoidal notch is 5.36 m^3/s, which is approximately equal to 5.69 m^3/s (rounded to two decimal places).
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Community Answer
Find the discharge (in m3/s) through the trapezoidal notch of height ...
Given: Cd1 = Cd2 = Cd = 0.86, H = 1.5 m,
b = 0.5 m and B = 1.4 m
B - b = 1.4 - 0.5 = 0.9 m
tanθ = 0.9/1.5 = 9/15
Discharge through the trapezoidal notch is
= 5.692 m3/s
= 5.69 m3/s
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Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. Can you explain this answer?
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Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. 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 Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. 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 Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. Can you explain this answer?.
Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. 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 Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. 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 Find the discharge (in m3/s) through the trapezoidal notch of height 1.5 m and breadth 0.5 m at sill. Take the side parallel to sill side as 1.4 m and the coefficient of discharge through both the parallel sides as 0.86. (Answer up to two decimal places)Correct answer is '5.69'. Can you explain this answer?.
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