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The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.?
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The hyetograph of a storm of 6h duration is constructed with varying t...
Solution:
To determine the total rainfall depth produced by the storm, we need to calculate the rainfall intensity at each time interval and then sum them up.
Step 1: Calculate the rainfall intensity at each time interval
- The storm has a duration of 6 hours.
- For the first hour, the time intervals are 20 minutes. So, there are 60/20 = 3 intervals.
- For the next 2 hours, the time intervals are 40 minutes. So, there are 120/40 = 3 intervals.
- For the last 3 hours, the time intervals are 1 hour. So, there are 3 intervals.
Let's calculate the rainfall intensity at each time interval:
First hour (20 minutes interval):
- Intervals: 3
- Rainfall intensity: 66 mm/h
20 minutes interval means that the rainfall intensity is constant for 20 minutes.
So, the rainfall intensity for each interval is 66 mm/h.
Next 2 hours (40 minutes interval):
- Intervals: 3
- Rainfall intensities: 75, 54, 48 mm/h
40 minutes interval means that the rainfall intensity is constant for 40 minutes.
So, the rainfall intensity for each interval is 75, 54, 48 mm/h.
Last 3 hours (1 hour interval):
- Intervals: 3
- Rainfall intensities: 69, 51, 38 mm/h
1 hour interval means that the rainfall intensity is constant for 1 hour.
So, the rainfall intensity for each interval is 69, 51, 38 mm/h.
Step 2: Calculate the rainfall depth at each time interval
To calculate the rainfall depth at each time interval, we need to multiply the rainfall intensity by the duration of the interval.
First hour (20 minutes interval):
- Intervals: 3
- Rainfall intensity: 66 mm/h
- Duration: 20 minutes = 20/60 = 1/3 hour
Rainfall depth = Rainfall intensity * Duration
= 66 mm/h * 1/3 hour
= 22 mm
Next 2 hours (40 minutes interval):
- Intervals: 3
- Rainfall intensities: 75, 54, 48 mm/h
- Duration: 40 minutes = 40/60 = 2/3 hour
Rainfall depths = Rainfall intensities * Duration
= (75 mm/h * 2/3 hour), (54 mm/h * 2/3 hour), (48 mm/h * 2/3 hour)
= 50 mm, 36 mm, 32 mm
Last 3 hours (1 hour interval):
- Intervals: 3
- Rainfall intensities: 69, 51, 38 mm/h
- Duration: 1 hour
Rainfall depths = Rainfall intensities * Duration
= 69 mm/h * 1 hour, 51 mm/h * 1 hour, 38 mm/h * 1 hour
= 69 mm, 51 mm, 38 mm
Step 3: Sum up the rainfall depths
To determine the total rainfall
To determine the total rainfall depth produced by the storm, we need to calculate the rainfall intensity at each time interval and then sum them up.
Step 1: Calculate the rainfall intensity at each time interval
- The storm has a duration of 6 hours.
- For the first hour, the time intervals are 20 minutes. So, there are 60/20 = 3 intervals.
- For the next 2 hours, the time intervals are 40 minutes. So, there are 120/40 = 3 intervals.
- For the last 3 hours, the time intervals are 1 hour. So, there are 3 intervals.
Let's calculate the rainfall intensity at each time interval:
First hour (20 minutes interval):
- Intervals: 3
- Rainfall intensity: 66 mm/h
20 minutes interval means that the rainfall intensity is constant for 20 minutes.
So, the rainfall intensity for each interval is 66 mm/h.
Next 2 hours (40 minutes interval):
- Intervals: 3
- Rainfall intensities: 75, 54, 48 mm/h
40 minutes interval means that the rainfall intensity is constant for 40 minutes.
So, the rainfall intensity for each interval is 75, 54, 48 mm/h.
Last 3 hours (1 hour interval):
- Intervals: 3
- Rainfall intensities: 69, 51, 38 mm/h
1 hour interval means that the rainfall intensity is constant for 1 hour.
So, the rainfall intensity for each interval is 69, 51, 38 mm/h.
Step 2: Calculate the rainfall depth at each time interval
To calculate the rainfall depth at each time interval, we need to multiply the rainfall intensity by the duration of the interval.
First hour (20 minutes interval):
- Intervals: 3
- Rainfall intensity: 66 mm/h
- Duration: 20 minutes = 20/60 = 1/3 hour
Rainfall depth = Rainfall intensity * Duration
= 66 mm/h * 1/3 hour
= 22 mm
Next 2 hours (40 minutes interval):
- Intervals: 3
- Rainfall intensities: 75, 54, 48 mm/h
- Duration: 40 minutes = 40/60 = 2/3 hour
Rainfall depths = Rainfall intensities * Duration
= (75 mm/h * 2/3 hour), (54 mm/h * 2/3 hour), (48 mm/h * 2/3 hour)
= 50 mm, 36 mm, 32 mm
Last 3 hours (1 hour interval):
- Intervals: 3
- Rainfall intensities: 69, 51, 38 mm/h
- Duration: 1 hour
Rainfall depths = Rainfall intensities * Duration
= 69 mm/h * 1 hour, 51 mm/h * 1 hour, 38 mm/h * 1 hour
= 69 mm, 51 mm, 38 mm
Step 3: Sum up the rainfall depths
To determine the total rainfall
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The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.?
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The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.? 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 hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.?.
The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.? 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 hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hyetograph of a storm of 6h duration is constructed with varying time intervals: at 20 minutes interval for the first one hour, at 40 minutes interval for the next 2 hours and at one hour interval for the last 3 hours. The successive ordinate of the hyetograph in mm/h are 66, 75, 54, 48, 69, 51, 38, 47 and 25. Determine the total rainfall depth produced by the storm.?.
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