# GATE (TF) Textile 2006 Question Paper Solution | GATE/2006/TF/28

###### Question 28 (Textile Engineering & Fibre Science)

4.93 ktex sliver is fed in a rotor spinning machine with opening zone draft of 1400. The draft in the transport duct is 5 and the sliding draft on the rotor wall till the rotor groove is 2. If the back doubling within the rotor is 125, the approximate linear density (tex) of the output yarn is

Option A is correct.

Given-

Linear density of fed sliver=4.93 ktex

Opening zone draft=1400

Transport duct draft=5

Slidinng draft on rotor till rotor groove=2

No. of back doubling=125

Linear density of output sliver=?

Total draft=Opening zone draft x Transport duct draft x Slidinng draft on rotor till rotor groove/No. of back doubling

Total draft=1400 x 5 x 2/125

Total draft=112

By fromula-

Draft=Linear density of fed sliver/Linear density of output sliver

112=4.93/Linear density of output sliver

Linear density of output sliver=4.93/112

Linear density of output sliver=0.04401 ktex

Linear density of output sliver=44.01 tex (Ans)