learn.illinois.edu ATMS 120: SU 2017 ATMOSPHERIC SCIENCES Part #2 Flood The most

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learn.illinois.edu ATMS 120: SU 2017 ATMOSPHERIC SCIENCES Part #2 Flood The most costly US natural disaster in 2016 was a flood that hit Louisiana in August. This flood was caused by a persistent onshore flow of moisture-laden air from the Gulf of Mexico that was used to routinely batter the area with thunderstorms. Thirteen people lost their lives and damage estimates top S15 Billion. The image below shows the total accumulated rainfall across several southern states including the state of Louisiana for August 2016. Use the information below to estimate the total volume of water that fell in Louisiana in August 2016 measured in gallons Area of Louisiana covered in 1 inch of rain = 57,271 miles? Area of Louisiana covered in 2 inches of rain = 56,915 miles Area of Louisiana covered in 3 inches of rain = 55,301 miles2 Area of Louisiana covered in 4 inches of rain-54,807 miles Area of Louisiana covered in 5 inches of rain 52,545 miles Area of Louisiana covered in 6 inches of rain 47,129 miles Area of Louisiana covered in 7 inches of rain = 40,532 miles Area of Louisiana covered in 8 inches of rain = 37,089 miles* Area of Louisiana covered in 9 inches of rain = 3 1.499 miles Area of Louisiana covered in 10 inches of rain-28,635 miles Area of Louisiana covered in 15 inches of rain 17,181 miles Area of Louisiana covered in 20 inches of rain = 14,31 7 miles" 1 gallon of water 231 in Be sure you don't count area twice! For example, the area of 2 inches of rain overlaps the area of 1 inch of rairn.

Explanation / Answer

Its really simple you just have to find the actual total rain affected area.

the area with 2 inches rainfall overlaps the area with 1 inch rain.

So, the area with 20 inches rain overlaps the whole area.

so, Actual area covered with 20 inches rain is 14317 miles2

Actual area covered with 15 inches rain is (17181-14317) miles2 or 2864 miles2

Actual area covered with 10 inches rain is (28635-17181) miles2 or 11454 miles2

Actual area covered with 9 inches rain is (31499-28635) miles2 or 2864 miles2

Actual area covered with 8 inches rain is (37089-31499) miles2 or 5590 miles2

Actual area covered with 7 inches rain is (40532-37089) miles2 or 3443 miles2

Actual area covered with 6 inches rain is (47129-40532) miles2 or 6597 miles2

Actual area covered with 5 inches rain is (52545-47129) miles2 or 5416 miles2

Actual area covered with 4 inches rain is (54807-52545) miles2 or 2262 miles2

Actual area covered with 3 inches rain is (55301-54807) miles2 or 494 miles2

Actual area covered with 2 inches rain is (56915-55301) miles2 or 1614 miles2

Actual area covered with 1 inches rain is (57271-56915) miles2 or 356 miles2

now we have to multiply each areas with there coresponding rainfall to get the volume of rainfall on the area and the add them for total rainfall.

the unit of rainfall is given as inches and that of area is mile2 we have to convert mile2 to inch2 before we proceed and thus the volume will be in inch3 or in3.

we have to multiply the whole thing by 4014489600 to get the answer in in3.as 1 mile2 = 1 inch2.

total rainfall,

((14317*20)+(2864*15)+(11454*10)+(2864*9)+(5590*8)+(3443*7)+(6597*6)+(5416*5)+(2262*4)+(494*3)+(1614*2)+(356*1))*4014489600 in3

or, 15784803893636*4014489600 in3

6.3367931e22 in3

1 gallon = 231in3

so, 6.3367931e22 in3 = 6.3367931e22/231 gallon or 2.7432005e20 gallon

__________________________________________________________________________

Please check the calculations as the result is too large but the process shown here is correct, good luck, cheers

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