GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/59

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Question 59 (Textile Engineering & Fibre Science)

Two roving with a CV of 8% each are fed into a spinning zone and if the spinning unit adds 8% CV, the CV% of output yarn will be approximately

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Option C is correct
Given in the question-

No. of rovings=2

CVin % of each=8%

CVadd %=8%

CV output %=?

By formula-

CV_doubling=\frac{CVin}{\sqrt No. of rovings}

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



CV_doubling %=5.67

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)

CVoutput %= 9.80 (Ans)

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