GATE (TF) Textile 2013 Question Paper Solution | GATE/2013/TF/41

Question 41 (Textile Engineering & Fibre Science)

A square plain jammed woven fabric of 0.5 mm thickness is to be produced from polyester yarns. Assuming circular yarn cross-section, the number of picks per cm in the fabric on the loom is approximately

(A)	13
(B)	18
(C)	23
(D)	28

Answer / Solution

Square plain jammed woven fabric-

Thickness(t)=0.5 mm

Assuming circular crossection

Number of picks per cm=?

Formula:

P=DSin $\theta$

Where, P is the pick spacing and D is the diameter
D=d₁+d₂=t

d₁ is the warp diameter
d₂ is the weft diameter
and
t is thickness

$\theta=60^o$

$P=0.5Sin60^o$

$P=0.5 \times \frac{\sqrt3}{2}$

$P=0.5 \times \frac{1.73}{2}$

$P=\frac{0.865}{2}$

$\frac{1}{P}=\frac{2}{0.865}$

$\frac{1}{P}=2.31$ per mm

$\frac{1}{P}=2.31\times 10$

$\frac{1}{P}=23.1$

Picks per cm(PPCM)=23 (Answer,rounded off to one integer number)

Option C is correct

Previous Question

Next Question

Frequently Asked Questions | FAQs

GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key