GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/47

Question 47 (Textile Engineering & Fibre Science)

Two rovings, each with mass CV of 10% are fed to a ring spinning machine the adds a mass CV of 20%. The mass CV (%) of the yarn (rounded off to 2 decimal places) is __21.00 to 22.00__.

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No. of roving=2
Mass CV of roving (CV_in)=10%

Additional mass CV at ring frame(CV_add)=20%

The mass CV% of the yarn(CV_out)=?

Calculation by formula:

CV_out= $\sqrt{CV^2_{add} + CV^2_{resultant}$

and

CV_resultant=CV_in/ $\sqrt{No. of rovings}$

CV_resultant=CV_in/ $\sqrt{2}$

CV_resultant=10/1.41

CV_resultant=7.09

CV_out= $\sqrt{20^2 + 7.09^2}$

CV_out= $\sqrt{400+50.26}$

CV_out= $\sqrt{450.27}$

CV_out=21.22 (Answer)

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