In the textile industry, filament and yarn sizes are reported in denier which is defined as the mass in grams of a length of 9000 meters. If a synthetic fiber has an average specific gravity of 1.32 and a filament of this material has a denier of 5.0, what is the mass per unit length in pounds-mass per yard? What is the cross sectional area of this fiber in square inches? The specific gravity is defined as specific gravity = density/density of water.
Denier of the filament material = 5
9000 m of the material weighs 5 g
9000 x 1.094 yards of the material weighs 5 x 0.0022 pounds
9846 yards of the material weighs ...
The expert determines what the cross sectional area of a fiber in square inches using finite mathematics. A complete, neat and step-by-step solution is provided.