GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/48

Question 48 (Textile Engineering & Fibre Science)

In a drum-driven winder, the grooved drum having a width of 20 cm is rotating at 1000 rpm. If the drum makes 5 revolutions per double traverse, the traverse speed (m/min) is __80__.

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Given in the question-

Grooved drum width(Traverse length,L)=20 cm

L=0.20 mtr

Drum revolutions(N_p)=1000 rpm

Traverse ratio(T.R.)=5 rev/double traverse

Traverse speed(V_t)=?

Formula:

T.R.=Np/Nt ,
Where N _p is package revolutions speed and N _t is traverse revolutions

Here,
N _t=N_p / T.R.

N _t=1000 / 5

N _t=200 rev/min

Now by formula–

V_t=2 x L x N_t

V_t=2 x 0.20 x 200

V_t=80 m/min (Answer)

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