Respuesta :
Answer:
The answer is 2.715 In
Explanation:
An estimated 60% of annual precipitation in a watershed (drainage area = 20000 acres) is evaporated. If the average annual river flow at the outlet of the basin has been observed to be 2.5 cfs, determine the annual precipitation (inches) in the basin
The annual precipitation in inches in the basin is 2.715 inches.
The solution and steps is explained in the attachment.
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Annual precipitation (inches) in the basin is 2.715 inches
Area of drainage system:
Given that;
Average annual river flow = 2.5 cfs
Annual precipitation = 60%
Area = 20,000 acres
Find:
Annual precipitation (inches) in the basin
Computation:
Average annual river flow = 2.5 cfs
Average annual river flow = 2.5 × 365 × 24 × 60 × 60
Average annual river flow = 78,840,000 ft³
So,
Total precipitation = [tex]\frac{100}{40} \times 78,840,000[/tex]
Total precipitation = 197,100,000 ft³
Drainage area in feet = [tex]20,000[\frac{43560}{1} ][/tex]
Drainage area in feet = 871,200,000 ft²
Annual precipitation (inches) in the basin = [tex]\frac{197,100,000}{871,200,000}[/tex]
Annual precipitation (inches) in the basin = 0.266 ft
Annual precipitation (inches) in the basin = 0.266 × 12
Annual precipitation (inches) in the basin = 2.715 inches
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