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One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.
If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)
Correct answer is '240'. Can you explain this answer?
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One hour triangular unit hydrograph of a watershed has the peak disch...
Given data:
- Peak discharge: 60 m3/sec.cm at 10 hours
- Time base: 30 hours
- Φ index: 0.4 cm per hour
- Base flow: 15 m3m/sec
- Rainfall: 5.4 cm in 1 hour
Step 1: Determine the time to peak (TTP)
The time to peak (TTP) is the time it takes for the peak discharge to occur after the start of the rainfall. In this case, TTP is given as 10 hours.
Step 2: Determine the time of concentration (TC)
The time of concentration (TC) is the time it takes for the entire watershed to contribute to the peak discharge. It is calculated using the time base and the Φ index. TC = time base + Φ index.
In this case, TC = 30 hours + 0.4 cm per hour = 30.4 hours.
Step 3: Determine the time of rise (TOR)
The time of rise (TOR) is the time it takes for the runoff to reach the peak discharge from the start of the rainfall. It is calculated by subtracting the TTP from the TC. TOR = TC - TTP.
In this case, TOR = 30.4 hours - 10 hours = 20.4 hours.
Step 4: Determine the time of recession (TORC)
The time of recession (TORC) is the time it takes for the runoff to return to the base flow after the peak discharge. It is calculated as the time base minus the TOR. TORC = time base - TOR.
In this case, TORC = 30 hours - 20.4 hours = 9.6 hours.
Step 5: Determine the ordinate of the flood hydrograph at 15th hour
To determine the ordinate of the flood hydrograph at the 15th hour, we need to consider two cases:
- Case 1: If the 15th hour falls within the TOR (TOR > 15)
In this case, the ordinate can be calculated using the formula:
Ordinate = (peak discharge / TOR) * (15 - TTP)
Ordinate = (60 m3/sec.cm / 20.4 hours) * (15 hours - 10 hours)
Ordinate = 14.71 m3/sec
- Case 2: If the 15th hour falls within the TORC (TORC > 15)
In this case, the ordinate can be calculated using the formula:
Ordinate = (peak discharge / TORC) * (TORC - (TOR + 15))
Ordinate = (60 m3/sec.cm / 9.6 hours) * (9.6 hours - (20.4 hours + 15 hours))
Ordinate = 8.75 m3/sec
Since the 15th hour falls within the TORC, we use the second case to calculate the ordinate of the flood hydrograph at the 15th hour, which is approximately 8.75 m3/sec.
However, the correct answer given is 240 m3/sec. It seems like there might be an error in the calculations or missing information. Please check the given data and calculations
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Community Answer
One hour triangular unit hydrograph of a watershed has the peak disch...
Rainfall excess = Rainfall - Φ index
= 5.4 - 0.4
= 5 cm
Base flow = 15 cubic cm/sec
Ordinate at 15th hour = 
= 240 m3/s
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One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer?
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One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer?.
One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m3/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m3m/sec.If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m3/sec) at 15th hour is_______(Answer up to the nearest integer)Correct answer is '240'. Can you explain this answer?.
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