GATE (TF) Textile 2003 Question Paper Solution | GATE/2003/TF/47

A blended yarn is produced by plying two yarns having the following specification

The CV% of the ply yarn is expected to be around

[Show Answer]

Option C is correct.
Given-

Tex(T1)=20

CV1=15

Tex(T2)=10

CV2=20

Formula-

CV of ply yarn= $\frac{\sqrt( (CV_1 \times T_1)^2+(CV_2 \times T_2)^2)}{T_b}$

Tb=blend yarn tex

Tb=T1+T2

Tb=20+10

Tb=30

CV of ply yarn= $\frac{\sqrt( (15\times 20)^2+(20 \times 10)^2)}{30}$

CV of ply yarn= $\frac{\sqrt( (300)^2+(200)^2)}{30}$

CV of ply yarn= $\frac{\sqrt( 90000+40000)}{30}$

CV of ply yarn= $\frac{\sqrt( 130000)}{30}$

CV of ply yarn= $\frac{360.56}{30}$

CV% of ply yarn=12