Measurements of count, twist, and diameter were made on 500 specimens from 20 spun nylon yarns, covering counts from lOs to 40s and twist factors from 2 to 8, and used to study the specific volumes of these yarns. I t was shown that in hard-twisted yarns the packing was about 7% less effective than in an ideal ring structure. In soft-twisted yarns, the specific volume was much greater. The effect of tension on yarn diameter was investigated in preliminary tests. The correlation between twist t and count N was also considered, and the constants k and m in the relation t = kNm were calculated. The value of m was shown to vary with twist factor in a way which could be explained by the torque-twist relations of yarns. the specific volume of spun nylon yarns as a function of count and twist. The relation between count and twist in irregular yarns is also considered.where l' = length of yarn in twist tester, cm; d, = fiber diameter, mm.Equation 5 incorporates the correction for fiber thickness suggested by Schwarz [8J.
Experimental Method
Measurement of Yarn ParametersThe specific volume 'lI cmt/g of a yarn specimen is given by: .The twist factor is related to the count and the turns per inch t, which can be calculated either from the surface twist angle 8 or from the total number of turns t' in the specimen. The relations are:(4)(2)'lI = 7rd 2ljO.4 w N = 5.905(ljw) C = t/Nt t = 2.54t'/I' = 25.4 tan 8/7r(d -d,)where d = yarn diameter; mm; 1 = specimen length, em, as cut; w = mass of specimen, mg, as cut.The yarn may be characterized by its cotton count N and its twist factor C. The former is given by: