Question 47 (Textile Engineering & Fibre Science)
While measuring tensile properties using Stelometer at 3.2 mm gauge length, a cotton fibre bundle of 15 mm length and 4.5 mg weight register a breaking load of 6kg. The bundle tenacity (g/tex) is __19.9 to 20.1__.
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Given in the question–
Gauge length=3.2 mm
Cotton fibre bundle length=15mm
=15×10-3 m
Cotton bundle weight=4.5 mg
=4.5×10-3 g
Breaking load=6 kg
=6000 gm
Bundle tenacity=?
By unitary rule:
Cotton fibre length is 15×10-3 meter and weight is 4.5x 10-3 gm
i.e. 15×10-3 mtr length cotton bundle have=4.5x 10-3 gm weight
Then, 1 mtr have….”…………………………………=4.5x 10-3/15×10-3
So, 1000 mtr…..”……………………………………….=(4.5x 10-3/15×10-3)*1000
=300
i.e., Tex =300 (gm/1000mtr)
Formula:
Tenacity=Breaking load(g)/linear density(tex)
Tenacity(g/tex)=6000/300
Tenacity(g/tex)=20 (Answer)