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Truong, I'm going to work in millimeters so you sheet is 765000 mm long and 0.8 mm thick. The edge of this sheet then forms a very long, thin rectangle with an area of 765000 × 0.8 = 612000 square mm. When wrapped around the core this rectangle then takes the shape of an annulus, the region between two concentric circles. The inside radius (the radius of the core) is 200 mm and suppose the outside radius is R mm. The area of this annulus is the difference in the areas of the two circles, so the area is
The area of the edge of the plastic sheet is the same whether it is seen as a rectangle or an annulus so
Thus
and hence
Thus the diameter of the roll is 2 × 484.6 = 969 mm Harley | ||||||||||||
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