GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/57

Question 57 (Textile Engineering & Fibre Science)

What will be the approximate crimp percentage for a square fabric if thread spacing is equal to the sum of the diameters of warp and weft threads ?

[Show Answer]

Option C is correct.

By crimp interchange equations-



Where, h1 & h2 are crimp height and D is the sum of diameter of warp and weft yarn

h_1=\frac{4 \times P_2 \times \sqrt C_1}{3}

h_2=\frac{4 \times P_1\times \sqrt C_2}{3}

If thread spacing=Sum of the diameter of yarn




For square fabric.

\frac{4 \times P_2 \times \sqrt C_1}{3}+\frac{4 \times P_1\times \sqrt C_2}{3}=D

\frac{4 \times P \times \sqrt C}{3}+\frac{4 \times P\times \sqrt C}{3}=P

\frac{4 \times \sqrt C}{3}+\frac{4\times \sqrt C}{3}=1

2 times \frac{4 \times \sqrt C}{3}=1

\frac{4 \times \sqrt C}{3}=\frac{1}{2}

\sqrt C=\frac{3}{8}

\sqrt C=0.375

Square both side-


C%=0.1406 x 100

C%=14.06 (Ans)

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