Question 28 (Textile Engineering & Fibre Science)
On twisting, the denier of a multifilament yarn consisting of 300 filament of 3 denier each becomes 1100. If 11 km of untwisted filament yarn is twisted, its length in km will be _________________
Answer / Solution
Given in the question–
Number of filaments=300
Denier of each filament=3 denier
Total denier=3*300
=900
Denier of multifilaments yarn=1100
If 11 km of untwisted filament yarn is twisted, then its lengths will be=?
Calculations–
If untwisted length is being twisted ,then there will be some contraction in the length.
Twisted length of 11 km=(11-twist contraction)
Denier=1100
i.e., 1100 gm weight have=9000 meter length
Then, 1 gm weight have=9000/1100
900gm weight have=9000*900/1100
=81000/11 meter length
Twist contraction=(9000-(81000/11))/9000
=2
Twisted length=11-2
Twisted length=9 km (Answer)