To estimate the amount of water that flows in a river during a year, a section of the river is made to have a rectangular cross section as shown below. In the beginning of every month (starting at January 1st) the height h of the water and the speed v of the water flow are measured. The first day of measurement is taken as 1, and the last day which is January 1st of the next year is day 366. The following data was measured: Day h (m) ly/m/s) 1 32 2.0 2.1 20 22 60 2.3 25 91 121 152 2.4 3.0 2.9 27 150 h 7 182 213 244 274 305 2.7 2.6 2.5 2.3 2.2 И 1 3 8 3 7 28 25 335 2.1 23 366 2.0 20 UNC

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To estimate the amount of water that flows in a river during a year, a section of the river is made to
have a rectangular cross section as shown below. In the beginning of every month (starting at January
1st) the height h of the water and the speed v of the water flow are measured. The first day of
measurement is taken as 1, and the last day which is January 1st of the next year is day 366. The
following data was measured:
Day
h (m)
v (m/s)
1
32
2.0 2.1
2.0 2.2
91 121 152 182
2.4 3.0 2.9 2.7
4.7 4.1 3.8 3.7 2.8 2.5
213 244 274 305
2.6 2.5 2.3 2.2
60
2.3
2.5 2.7 5.0
Use the data to calculate the flow rate, and then integrate the flow rate to obtain an estimate of the
total amount of water that flows in the river during the year. Apply applications of a single trapezoid
between each data point.
V
water
335 366
2.1 2.0
2.3 2.0
w = 8 m
Transcribed Image Text:To estimate the amount of water that flows in a river during a year, a section of the river is made to have a rectangular cross section as shown below. In the beginning of every month (starting at January 1st) the height h of the water and the speed v of the water flow are measured. The first day of measurement is taken as 1, and the last day which is January 1st of the next year is day 366. The following data was measured: Day h (m) v (m/s) 1 32 2.0 2.1 2.0 2.2 91 121 152 182 2.4 3.0 2.9 2.7 4.7 4.1 3.8 3.7 2.8 2.5 213 244 274 305 2.6 2.5 2.3 2.2 60 2.3 2.5 2.7 5.0 Use the data to calculate the flow rate, and then integrate the flow rate to obtain an estimate of the total amount of water that flows in the river during the year. Apply applications of a single trapezoid between each data point. V water 335 366 2.1 2.0 2.3 2.0 w = 8 m
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