Question 37 (Textile Engineering & Fibre Science)
The twist contraction factor of a filament yarn is 1.06. For producing 5 ton twisted yarn of 50 tex, the untwisted yarn length required, in km, accurate to the nearest integer, is …………….
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Given in the question–
Twist contraction=1.06
Amount of twisted yarn to be produced=5 ton
Yarn count=50 tex
Untwisted yarn length in km=?
Calculation:
Weight of twisted yarn=5 ton
=5000 kg
=5000000 gm
=5*106 gm
Yarn count=50 tex
By definition of tex–
1000 meter length have=50 gm weight
i.e.,
50 gm weight have=1000 meter length
1 gm weight have=1000/50
Then,
5*106 gm weight have=1000*5*106/50 meter length
=108 meter
Length of twisted yarn=108 meter
Formula:
Twist contraction=Untwisted length/twisted length
Twist contraction=1.06
1.06=Untwisted length/twisted length
1.06=Untwisted length/108
Untwisted length=1.06 x 108
Untwisted length=106000000 meter
Length of untwisted yarn=106000 km (Answer)