GATE (TF) Textile 2013 Question Paper Solution | GATE/2013/TF/30

Question 30 (Textile Engineering & Fibre Science)

The strength of 100 g/m² fabric obtained by testing 4 cm wide strip is 0.4 kN. The tenacity (cN/tex) of the fabric is _________________

Answer / Solution

Fabric strength=0.4 kN
=0.4x 1000 N
=0.4 x 1000 x 1000 cN
=400000 cN

Fabric width=4 cm
=4/100 m
=0.04 m

Fabric gsm=100 g/m²

The tenacity of fabric(cN/tex)=?

g/m=fabric gsm x Fabric width

g/m=100 x 0.04

g/m=4

By definition of tex–

1 meter length have=4 gm weight

Then, 1000 meter length have=4000 weight

i.e. tex=4000

Tenacity=Fabric strength/Tex of yarn

Tenacity=400000/4000

Tenacity=100 cN/Tex (Answer)

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