GATE (TF) Textile 2005 Question Paper Solution | GATE/2005/TF/70

In an idealized helical yarn of 20 tex, the twist is 10 turns/cm. The surface twist angle is 32o.

Question 70 (Textile Engineering & Fibre Science)

The approximate yarn diameter is

(A)0.1 mm
(B)0.2 mm
(C)0.3 mm
(D)0.4 mm
[Show Answer]

Option C
Given-

Tex=20

TPCM=10

\theta=32^o

Yarn dia(D)=?

By formula-

tan \theta=\pi \times D \times TPCM

tan 32=3.14\times D \times 10

0.624=3.14\times D \times 10

D=0.0198 cm

D=0.198 MM

D=0.2 mm

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