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Question: Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumped 2.0 in. of rain in 30 min on a town of area 26 km2. What volume of water, in acre-feet, fell on the town?

Short Answer

Expert verified

Answer

The volume of water in acre-feet fell in town is1.1103acrefeet

Step by step solution

01

Given data

Thunderstorm dumped 2.0 in. of rain in 30 min.

Area of town is 26km2 .

02

Understanding of the unit acre-foot.

The acre-foot is a commonly used volume unit referring to large-scale water resources, such as reservoirs, aqueducts, canals, and sewage flow capacity.As its name implies, an acre-foot is defined as the volume of an acre surface to a depth of one foot.

03

 Step 3: Conversion of an area of town into an acre

The area of town is, A = 26 km2

To convert the volume in acre-feet units, perform the necessary conversions.

1km=3281ft1ft2=143560acre1inch=112inchft

Using the above conversion factors, the area of town in feet is written as,

A=26km2(3281)2ft2km2 =279.89106ft2

Now, convert the area frominto acre

279.89106ft21acre43560ft2=6425.39acre

Thus, the area is6425.39acre.

04

conversion of height in ft.

The height of the rainfall is,h= 2.0 inch

Now, convert height from inch to ft.

h=2inch1ft12inch=16ft

Thus, the height of the rainfall is 16ft.

05

Determination of volume of water 

Volume of water fall is calculated as:

V=Ah=6425.39acre16ft=1070.89acre-feet

Rounding off to correct significant figures, volume of water in is1.1103acrefeet.

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