GATE (TF) Textile 2021 Question Paper Solution | GATE/2021/TF/44

Question 44 (Textile Technology & Fibre Science)

In melt spinning, the mass throughput rate of polymer is 210 g/min, the winding speed is 3000 m/min, and the linear density of the yarn produced is 200 denier. The effective draw ratio, (rounded off to two decimal places), is __3.00 to 3.30___.

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Formula:
Draw ratio=Take-up speed/output speed
Draw ratio=V_L/V_O ,
Draw ratio=Linear density(denier) of the polymer(D_o)/Linear density(denier) of the yarn(D_L)

As given in the question:
Mass throughput rate of polymer is 210 g/min ,winding speed is 3000 m/min and
linear density of the yarn(D_L) = 200 denier
So, linear density of the polymer(D_o)=(Mass throughput rate of the polymer/winding speed)*9000
=(210/3000)*9000
=630 denier ,
Now,
Draw ratio=Linear density(denier) of the polymer(D_o)/Linear density(denier) of the yarn(D_L)
=630/200
Draw ratio=3.15 (Answer)

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