GATE (TF) Textile 2015 Question Paper Solution | GATE/2015/TF/49

Question 49 (Textile Engineering & Fibre Science)

A rotor of 2 inch diameter is spinning a yarn of 16^s Ne. If the twist multiplier is 5 and the fibre linear density is 0.1 tex, the average fibre flow through the transport channel, to the nearest integer will be __3__.

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Given in the question–
Diameter of rotor=2 inch

Count of the yarn=16^s Ne

Twist multiplier(TM)=5

Linear density of fibre=0.1 tex

Average fibre flow through the transport channel=?

Formula-

$TPI=TM\sqrt count$

$TPI=5\sqrt 16$

$TPI=5 \times 4$

TPI=20 (Answer)

By unitary rule-
1 inch have=20 turns

Then,
$\pi 2 inch have=20\times \pi \times 2$
=125.6

$1 meter have=125.6/39.34$

=3.19

Average fibre flow through the transport channel=3 (Answer)

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