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8 June, 05:39

S1.1 The Acre-Foot. 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 minutes on a town of area 26 km2. What volume of water, in acre-feet, fell on the town? S1.2 The Thunderstorm. What mass of water fell on the town in S1.1The Acre-Foot during the thunderstorm? One cubic meter of water has a mass of 103kg.

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  1. 8 June, 09:19
    0
    1072 acre foot

    1331424000 kg

    Explanation:

    1 feet has 12 inches, so 2 in is 0.167 feet.

    1 km^2 has 1 million m^2.

    1 acre is 4074 m^2.

    So, 1 km is 247 acres.

    Then 26 km^2 is 6422 acres.

    So, the volume of water is

    6422 * 0.167 = 1072 acre-foot

    Since one cubic meter of water has 1000 kg

    One inch is 25.4 mm = 0.0254 m

    One feet is 12 * 0.0254 = 0.3048 m

    An acre-feet has a volume of

    4074*0.3048 = 1242 m^3

    And that is a mass of water of

    1242 * 1000 = 1242000 kg/acre-feet

    Therefore the mass of rainwater in the town is of

    1072 * 1242000 = 1331424000 kg = 1331424 tons
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