GATE (TF) Textile 2003 Question Paper Solution | GATE/2003/TF/75

Percentage cover will be about

[Show Answer]

Option

Warp count=30s Ne

Weft count=35s Ne

Ends per cm=35
p1=1/35
Picks per cm=30
p2=1/30
Warp crimp=6.5%

Weft crimp=13%

Cotton fibre density=1.52 gm/cm3

Percentage cover of the fabric=?

Cover=\frac{d}{p}

Where d is the dia and s is the thread spacing.

Coth cover =C1+C2-C1C2

Where, C1=warp cover

C2=weft cover

Warp cover = $\frac{d1}{p1}$

d1=warp yarn dia

$d_1=\frac{1}{ 28 \times\sqrt warp count}$

$d_1=\frac{1}{28 \times\sqrt 30}$ inch

$d_1=0.00652$ inch

$d_1=0.0166$ cm

and

Warp cover = $\frac{0.0166}{\frac{1}{35}}$

Warp cover=0.0166 x 35

Warp cover(C1)=0.58

Similarily-

Weft cover = $\frac{d2}{p2}$

d2=weft yarn dia

$d_2=\frac{1}{\sqrt 28 \times weft count}$

$d_2=\frac{1}{28 \times \sqrt 35}$ inch

$d_2=0.00603$ inch

$d_2=0.0153$ cm

and

Weft cover= $\frac{0.0153}{\frac{1}{30}}$

Weft cover =0.0153

Weft cover(C1)=0.54

So,

Coth cover (C)=C1+C2-C1C2

Percentage Coth cover (C)=(0.58+0.54-0.58 x 0.54) x 100

Percentage Coth cover (C)=(1.12-0.3132) x 100

Percentage Coth cover (C)=0.8068 x 100

Percentage Coth cover (C)=80.6