GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/19

Question 19 (Textile Engineering & Fibre Science)

The diameter (mm) of a yarn having twist of 700 turns per meter and surface twist angle of 20^o (rounded off to 2 decimal places) is __0.16 to 0.18__.

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Given in the question :

Twist per meter(TPM)=700
Surface twist angle( $\alpha$ )=20^o
The diameter of yarn(D)=?

Calculation by formula:
By yarn geometry-

Tan $\alpha$ = $\pi$ x Diameter(D) x Twist(TPM)

tan20^o=3.14 x D x 700

0.36397=3.14 x D x 700 (tan20^o=0.36397)

D=0.000165591 meter

D=0.16 mm (Answer)

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