GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/52

the direct twist factor of 35 Nm yarn is 36 tpcm.tex^1/2 . The twist per inch of the yarn is approximately

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Given in the question-

$Twist factor(TF)=36 tpcm.tex^(\frac{1}{2})$

Yarn count=36 Nm

By relationship-

Nm=1.69Ne

36=1.69Ne

Ne=36/1.69

Ne=21.30

By relationship-

Tex=590.5/Ne

Tex=590.5/21.30

Tex=27.72

Twist per Inch(TPI)=?

By formula-

$TPCM=\frac{TF}{\sqrt Tex}$

$TPCM=\frac{36}{\sqrt 27.72}$

$TPCM=\frac{36}{5.27}$

TPCM=6.83

1 inch=2.54 cm

TPI=6.83 x 2.54

TPI=17.34

TPI=17 (Ans)