GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/53

Question 53 (Textile Technology & Fibre Science)

The bending length of a nonwoven fabric in machine direction is two times the bending length in cross-machine direction. The ratio of flexural rigidities of this fabric in machine direction to cross-machine direction is __8__.

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Let , blending length of fabric in cross machine direction(L2)=L

Then, blending length in the machine direction(L1)=2L

Let , flexural regidity in machine direction=G1

Then, flexural regidity in cross machine direction=G2



Flexural regidity(G)=W x C3

Where, C is the bending length

G \alpha C^3

hence , G is directly proportional to the cube of the bending length

\frac{G_1}{G_2}=\frac{(Blending length in cross machine direction)^3}{(Blending length in the machine direction)^3}




\frac{G_1}{G_2}=8 (Answer)

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