SOLUTION: Washers are "punched" from strips of sheet iron. Washer description: 5/16" inside diameter. 3/4" outside diameter. Iron description: 18 gauge. 3' length, 1" wid

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Washers are "punched" from strips of sheet iron. Washer description: 5/16" inside diameter. 3/4" outside diameter. Iron description: 18 gauge. 3' length, 1" wid      Log On

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Question 1048234: Washers are "punched" from strips of sheet iron.
Washer description:
5/16" inside diameter.
3/4" outside diameter.
Iron description:
18 gauge.
3' length, 1" width.
Weighs 2 lbs. per sq. ft.

The first washer is "punched" 1/8" from the end, and each consecutive one is 1/16" apart.

Determine: 1) Weight of 1000 washers, 2) Number of full strips required.
Not sure how to solve. Thanks.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of each washer:
Area+=+pi%2Ar%5E2
Area+=+pi%2A%28%283%2F8%29%5E2+-+%285%2F32%29%5E2%29
Area =~ 0.365087 sq inches
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Area of 1000 washers = 365 sq inches = 365/144 = 2.535 sq feet
Weight of 1000 washers = area*2 = 5.07 pounds
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Iron description:
18 gauge.
3' length, 1" width.
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3' = 36 inches.
36" - 1/8" = 35 7/8" = 287/8 inches = 574/16".
Center to center of washers is 3/4 + 1/16 = 13/16 inches
(574/16)/(13/16) = 44.15 --> 44 washers per sheet.
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If you mean sheets needed for 1000 washers:
1000/44 = 22.73 --> 23 sheets
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PS Never heard of "sheet iron."
Sheet steel, but not sheet iron.