Question 39 (Textile Engineering & Fibre Science)
A T-shirt is produced from cotton fibre of 1520 kgm-3 density, 1.4 dtex fitness and 30 mm length. The total number of fibres in the T-shirt of 0.15 kg is __34 to 37__x106.
[Show Answer]
Write Here
Given in the question–
Density of cotton fibre=1520 kgm-3
Fineness of fibre=1.4dtex
=0.14 tex
Length of fibre=30 mm
=30*10-3 meter
Weight of T-shirt=0.15 kg
=0.15*103 gm
Number of fibres in the T-shirt=?
Calculation–
Number of fibres=Weight of T-shirt/Weight of fibre
Tex=0.15 tex
By unitary rule:
1000 meter length have=0.14 gm weight
1 meter length have=0.14/1000
Then, 30*10-3 meter length have=0.14*30*10-3/1000
Weight of fibre=4.2*10-6 gm
Number of fibres=0.15*103/4.2*10-6
Number of fibres=35.71*106 (Answer)