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# 2-07 - 2-7 In the textile industry filament and yarn sizes...

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2-7. 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 density specific gravity = density of water 2-7. To begin this problem, we note that there is a conversion factor hidden in the problem statement, i.e., 1 denier 1 g 9000 m = (1) or 4 1 denier 1.11 10 g m (2) The answer to the first question is given by 4 mass per 5 denier 5.55 10 g m unit length  == ×   (3) and in order to obtain the desired units we make use of the proper conversion factors to express Eq. 3 in the form 42 m 6

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2-07 - 2-7 In the textile industry filament and yarn sizes...

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