GATE (TF) Textile 2013 Question Paper Solution | GATE/2013/TF/48

Use Data

A winding machine without anti-patterning device has the following particulars:

Cylinder winding drum diameter : 75 mm
Number of crossing on drum : $2\frac{1}{2}$

Rotation speed of the drum : 2860 rev/min
Traverse length : 150 mm
A 3.5 degree constant taper cone is built on the above cone winder with no movement of the point of drive during the package build up. At mean cone diameter of 150 mm the package rev/min is 1375.

Question 48 (Textile Engineering & Fibre Science)

The number of times major patterning will occur in producing 200 mm mean diameter package on 40 mm mean diameter core is

(A)	5
(B)	7
(C)	9
(D)	11

Answer / Solution

Given in the question-

Cylinder winding drum(D_d)=75mm

Number of crossing on drum= $2\frac{1}{2}$

Rotation speed of the drum(N_d)=2860 rev/min
Traverse length(L)=150 mm

Cone taper angle( $\theta$ )=3.5^o

Mean cone diameter=150 mm

Package revolution=1375 rpm

The number of times major patterning will occur in producing 200 mm mean diameter package on 40 mm mean diameter core=?
Calculation–
Traverse ratio=N_p/N_t

2 x Number of crossings in drum=N_p/N_t

2 x 2.5=Np/Nt

5=Np/Nt

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