GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/45

Question 45 (Textile Technology & Fibre Science)

In winding zone of ring spinning, the permissible minimum angle of lead is 30^o. For a ring of 40 mm diameter, the minimum diameter (in mm) of bobbin required is __20__.

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Given–
Minimum angle of lead( $\theta$ )=30^o

Diameter of ring frame(D_r)=40mm

Minimum diameter of bobbin(D_b)=?

Formula:

$Sin\theta=\frac{D_b}{D_r}$

$Sin30^o=\frac{D_b}{40}$

$0.5=\frac{D_b}{40}$

$\frac{D_b}{40}=0.5$

$D_b=40\times0.5$

$Diameter of bobbin(D_b)=20mm$ (Answer)