GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/60

Linked Answer Questions

The CV% of 3-ply yarn produced using these single yarns will be approximately

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Given in the question-

No. of rovings=2

CVin% of each=8%

CVadd%=8%

CV output%=?

By formula-

$CV _doubling=\frac{CV_in}{\sqrt No. of rovings}$

$CV_doubling=\frac{8}{\sqrt 2}$

$CV_doubling=\frac{8}{1.41}$

$CV_doubling=5.67$

Now,

$CV_output=\sqrt (CV_doubling^2+CV_add^2)$

$CV_output=\sqrt (5.67^2+8^2)$

$CV_output=\sqrt (32.15+64)$

$CV_output=\sqrt (96.15)$

$CV_output= 9.80$

Now,

3-ply yarns produced by these single yarn

i.e, No. of rovings=3

$CV of ply yarn yarn=\frac{CV_ output}{\sqrt 3}$

$CV of ply yarn yarn=\frac{9.8}{\sqrt 3}$

$CV of ply yarn yarn=\frac{9.8}{1.73}$

CV % of ply yarn yarn=5.66 (Ans)