GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/37

Question 37 (Textile Engineering & Fibre Science)

A fabric having 30 tex warp and 20 tex weft with 40 ends/cm and 30 picks/cm has 10% crimp in both warp and weft yarns. The fabric weight in g/m²will be

(A)	178
(B)	188
(C)	198
(D)	208

[Show Answer]

Option C is correct

Given in the question-

Warp count=30 tex

Warp count(g/m)=30/1000

Weft count=20 tex

Weft count(g/m)=20/1000

Ends per cm (EPCM)=40 ends /cm

EPM=4000

Picks per cm (PPCM)=30 picks /cm

PPM=3000

Crimp in warp=Crimp in weft=10%

The fabric weight(gm/m2)=?

Now,

$Weight of warp=\frac{gm}{meter} \times EPM \times (1+ Warp crimp percentage)$

$Weight of warp=\frac{30}{1000} \times 4000 \times (1+ 10 percentage)$

$Weight of warp=120 \times (1+ \frac{10}{100})$

$Weight of warp=120 \times (1+ 0.10)$

$Weight of warp=120 \times 1.10$

Weight of warp=132 g/m2

and

$Weight of weft=\frac{gm}{meter} \times PPM \times (1+ Weft crimp percentage)$

$Weight of weft=\frac{20}{1000} \times 3000 \times (1+10 percentage)$

$Weight of weft=\frac{20}{1000} \times 3000 \times (1+\frac{10}{100})$

$Weight of weft=60 \times (1+0.1)$

$Weight of weft=60 \times 1.1$

Weight of weft=66 g/m2

Now,

Weight of fabric=Warp weight+Weft weight

Weight of fabric=132+66

Weight of fabric=198 g/m2 (Ans)

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