Question 46 (Textile Technology & Fibre Science)
A sliver of 4.2 kilotex 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 total back doubling within the rotor is 120, then the linear density (in tex) of the output yarn is __35.0 to 38.0__.
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Given in the question–
Linear density of feed sliver=4.2 kilotex
Opening zone draft=1400
Draft in the transport duct=5
Sliding draft on the rotor wall till the rotor groove=2
Total back doubling=120
Linear density of the output yarn=?
Calculation–
Total draft=opening zone draft*draft in transport duct*Sliding draft on rotor wall till rotor groove/Total back doubling
Total draft=1400*5*2/120
Total draft=117
Now,
Total draft=Linear density of input sliver/Linear density of output sliver
117=4.2/Linear density of output sliver
Linear density of output sliver=4.2/117
Linear density of output sliver=0.0359 kilotex
Linear density of output sliver=0.0359*1000
Linear density of output sliver=35.90 tex (Answer)