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The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will be
- a)0.33
- b)0.50
- c)1.0
- d)1.5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The head over a V notch at the end of a channel is 75 cm. If an error ...
Percentage error discharge over a
Similarly percentage error in discharge in a rectangular weir
Similarly percentage error in discharge in a rectangular weir
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The head over a V notch at the end of a channel is 75 cm. If an error ...
Given data:
Head over a V-notch = 75 cm
Possible error = 0.15 cm
To calculate the discharge, the following formula is used:
Q = 8/15 x Cd x b x H^(5/2)
where,
Cd = coefficient of discharge
b = width of V-notch
H = head over the V-notch
Percentage error in the discharge can be calculated using the formula:
% error = (Error in discharge / Discharge) x 100
Calculation:
Given, H = 75 cm
Possible error in H = 0.15 cm
∴ Actual head = H ± Possible error = 75 ± 0.15 cm
= 74.85 cm to 75.15 cm
Discharge, Q = 8/15 x Cd x b x H^(5/2)
= 8/15 x Cd x b x (75)^(5/2)
Let's assume Cd and b are constants and their values are known, then
Discharge, Q1 = 8/15 x Cd x b x (74.85)^(5/2)
Discharge, Q2 = 8/15 x Cd x b x (75.15)^(5/2)
% error in discharge, % error = (Q2 - Q1) / (Q1 + Q2) x 100
= (8/15 x Cd x b x (75.15)^(5/2) - 8/15 x Cd x b x (74.85)^(5/2)) / (8/15 x Cd x b x (75)^(5/2) + 8/15 x Cd x b x (75)^(5/2)) x 100
= 0.50%
Hence, the percentage error in computing the discharge is 0.50%. Therefore, option B is the correct answer.
Head over a V-notch = 75 cm
Possible error = 0.15 cm
To calculate the discharge, the following formula is used:
Q = 8/15 x Cd x b x H^(5/2)
where,
Cd = coefficient of discharge
b = width of V-notch
H = head over the V-notch
Percentage error in the discharge can be calculated using the formula:
% error = (Error in discharge / Discharge) x 100
Calculation:
Given, H = 75 cm
Possible error in H = 0.15 cm
∴ Actual head = H ± Possible error = 75 ± 0.15 cm
= 74.85 cm to 75.15 cm
Discharge, Q = 8/15 x Cd x b x H^(5/2)
= 8/15 x Cd x b x (75)^(5/2)
Let's assume Cd and b are constants and their values are known, then
Discharge, Q1 = 8/15 x Cd x b x (74.85)^(5/2)
Discharge, Q2 = 8/15 x Cd x b x (75.15)^(5/2)
% error in discharge, % error = (Q2 - Q1) / (Q1 + Q2) x 100
= (8/15 x Cd x b x (75.15)^(5/2) - 8/15 x Cd x b x (74.85)^(5/2)) / (8/15 x Cd x b x (75)^(5/2) + 8/15 x Cd x b x (75)^(5/2)) x 100
= 0.50%
Hence, the percentage error in computing the discharge is 0.50%. Therefore, option B is the correct answer.
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Community Answer
The head over a V notch at the end of a channel is 75 cm. If an error ...
Percentage error discharge over a
Similarly percentage error in discharge in a rectangular weir
Similarly percentage error in discharge in a rectangular weir
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The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. Can you explain this answer?
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The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. 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 The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. 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 The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. Can you explain this answer?.
The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. 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 The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. 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 The head over a V notch at the end of a channel is 75 cm. If an error of 0.15 cm is possible in the measurement of head, the percentage error. in computing the discharge will bea)0.33b)0.50c)1.0d)1.5Correct answer is option 'B'. Can you explain this answer?.
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