# GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/51

A shirting cotton cloth is made from the following particulars :
Warp crimp, C1 = 10%
Warp yarn dia, d1 = 0.01627 cm
(T2/T1)1/2 = 0.8
K1 = 11.3
K2 = 9.1 |
Fabric area density = 91.15 g/m2
where T is yarn tex and K is the cover factor is SI unit denoted by (threads per cm)(tex)1/2 X 10-1 .

###### Question 51 (Textile Engineering & Fibre Science)

The estimated specific volume of the fabric in cm3/g will be

Given in the question-

Warp crimp, C1 = 10%

Warp yarn dia, d1 = 0.01627 cm

(T2/T1)1/2 = 0.8

K1 = 11.3

K2 = 9.1
Fabric area density = 91.15 g/m2

Fabric areal density=91.15/10000 gm/cm2

Fabric areal density=0.009115 gm/cm2

Firstly we will calculate tex of warp yarn-

By formula-

By doing square both side-

Tex

Now, given-

By putting value of T1

Square both side-

tex

cover factor(K)=(threads per cm)(tex)1/2 X 10-1 .

So that,

Where h is the crimp height and d is the diameter of the yarn.

cm

Specific volume of the fabric(cm3/gm)=fabric thickness/fabric area density

Specific volume of the fabric(cm3/gm)=0.033/0.009115

Specific volume of the fabric(cm3/gm)=3.62 (Ans)