GATE (TF) Textile 2004 Question Paper Solution | GATE/2004/TF/46

Question 46 (Textile Engineering & Fibre Science)

on a draw frame, 6 slivers with a CV% of 6 each are drafted with a draft of 6. If the drafting system introduces 1.732% additional CV during the drawing of slivers, the CV% in drawframe sliver will be

(A)	3
(B)	6
(C)	9
(D)	12

[Show Answer]

Option A

Given-

Number of slivers(n)=6

CV%=6

Draft=6

$CV_in=\frac{CV}{\sqrt n}$

$CV_in=\frac{6}{\sqrt 6}$

$CV_in=\frac{6}{2.45}$

$CV_in=2.45$

CV add%=1.732

CV% of draw frame=?

By formula-

$CV_res=\sqrt(CV_in^2+CV_add^2)$

$CV_res=\sqrt(2.45^2+1.732^2)$

$CV_res=\sqrt(6+3)$

$CV_res=\sqrt(9)$

$CV_res=3$

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