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 30o. 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)=30o

Diameter of ring frame(Dr)=40mm

Minimum diameter of bobbin(Db)=?

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)

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