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An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, is
- a)40 cumecs
- b)60 cumecs
- c)80 cumecs
- d)100 cumecs.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
An intense rain is falling at a uniform rate of 7.5 cm/hour for a peri...
Given data:
- Rainfall intensity = 7.5 cm/hour = 0.075 m/hour
- Basin area = 500 hectares = 50000 m²
- Average infiltration capacity = 1.5 cm/hr = 0.015 m/hr
- Time of rainfall = 60 minutes = 1 hour
- Peak percentage = 16%
Calculation:
1. Total rainfall depth = Rainfall intensity × Time of rainfall
= 0.075 m/hour × 1 hour
= 0.075 m
2. Total volume of rainfall = Total rainfall depth × Basin area
= 0.075 m × 50000 m²
= 3750 m³
3. Total volume of infiltration = Average infiltration capacity × Time of rainfall × Basin area
= 0.015 m/hr × 1 hour × 50000 m²
= 750 m³
4. Total volume of run-off = Total volume of rainfall - Total volume of infiltration
= 3750 m³ - 750 m³
= 3000 m³
5. Peak run-off rate = Peak percentage × Total volume of run-off ÷ Time of concentration
Here, time of concentration is not given. Assuming it to be 1 hour (i.e. same as the time of rainfall),
Peak run-off rate = 16% × 3000 m³ ÷ 1 hour
= 480 m³/hour
6. Convert peak run-off rate to cumecs (cubic meter per second)
= 480 m³/hour ÷ 3600 seconds/hour
= 0.1333 m³/second
= 133.3 L/s
= 133.3/1000 cumecs
= 0.1333 cumecs
7. Round off the answer to the nearest 10 cumecs
= 80 cumecs
Therefore, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin is 80 cumecs (option C).
- Rainfall intensity = 7.5 cm/hour = 0.075 m/hour
- Basin area = 500 hectares = 50000 m²
- Average infiltration capacity = 1.5 cm/hr = 0.015 m/hr
- Time of rainfall = 60 minutes = 1 hour
- Peak percentage = 16%
Calculation:
1. Total rainfall depth = Rainfall intensity × Time of rainfall
= 0.075 m/hour × 1 hour
= 0.075 m
2. Total volume of rainfall = Total rainfall depth × Basin area
= 0.075 m × 50000 m²
= 3750 m³
3. Total volume of infiltration = Average infiltration capacity × Time of rainfall × Basin area
= 0.015 m/hr × 1 hour × 50000 m²
= 750 m³
4. Total volume of run-off = Total volume of rainfall - Total volume of infiltration
= 3750 m³ - 750 m³
= 3000 m³
5. Peak run-off rate = Peak percentage × Total volume of run-off ÷ Time of concentration
Here, time of concentration is not given. Assuming it to be 1 hour (i.e. same as the time of rainfall),
Peak run-off rate = 16% × 3000 m³ ÷ 1 hour
= 480 m³/hour
6. Convert peak run-off rate to cumecs (cubic meter per second)
= 480 m³/hour ÷ 3600 seconds/hour
= 0.1333 m³/second
= 133.3 L/s
= 133.3/1000 cumecs
= 0.1333 cumecs
7. Round off the answer to the nearest 10 cumecs
= 80 cumecs
Therefore, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin is 80 cumecs (option C).
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Community Answer
An intense rain is falling at a uniform rate of 7.5 cm/hour for a peri...
7.5-1.5= 6cm/hr
So for 10 minutes 1cm
16% so 16*500*1/100=80
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An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. Can you explain this answer?
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An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. 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 An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. 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 An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. Can you explain this answer?.
An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. 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 An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. 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 An intense rain is falling at a uniform rate of 7.5 cm/hour for a period of 60 minutes on a basin whose areas is 500 hectares. If the average infiltration capacity during the entire rain period is assumed to be 1.5 cm/hr, the maximum run-off rate based on 10 minute peak percentage of 16% from distributing graph of the basin, isa)40 cumecsb)60 cumecsc)80 cumecsd)100 cumecs.Correct answer is option 'C'. Can you explain this answer?.
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