Question

Given a circular sheet of paper with a weight of 0.15 ounces and a diameter of 4.7 in. Calculate the basis weight in terms of g/m^2. Assuming the circle was cut from a piece of copy paper, what would be the basis weight of the paper in lb/ream?

Answer 1

Diameter = 4.7 inch

Radius = 4.7 / 2 = 2.35 inch

area of circle is

A = (22 / 7) * (2.35)^2

A = 17.3564 inch^2 (

1 inch = 2.54 * 10^-4 m^2

Area A = 17.3564 * 2.54 * 10^-4 m^2

A = 4.408 * 10^-3 m^-2

1 ounce = 28.3495 g

0.15 ounces = 28.3495 * 0.15 g

                        = 4.2524 g

basis weight = 4.2524 g * 4.408 * 10^-3 m^-2

                        = 0.01874 g/m^2

1 g = 0.0022046 lbs

1 ream = 500 sheets* (93.5 inch^2) * (2.54 * 10^-2 m^2 / inch^2)

1 ream = 30.1612 m^2

1 m^2 = 0.03315 ream

0.01874 g/m^2 = 0.01874 * (0.002204 lbs / 0.03315 ream)

                           = 1.246 * 10^-3 lbs / ream