GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/65

Question 65 (Textile Engineering & Fibre Science)

On a drape meter, the area of projected image of draped fabric of 30 cm diameter kept on an anvil of 18 cm diameter was measured as 362 cm². The drape coefficient of the fabric is approximately

(A)	0.6
(B)	0.7
(C)	0.8
(D)	0.9

[Show Answer]

Option C is correct
Given in the question-

Diameter of fabric specimen(d)=30 cm

Support anvil diameter(ds)=18 cm

Projected area=362 cm2

Drape coefficient of the fabric=?

By formula-

$Drape coefficient=\frac {Area of support disc-Area of shaded portion}{Area of support disc-Area of the fabric sample}$

i.e.,

$Drape coefficient=\frac {Projected area}{Area of support disc-Area of the fabric sample}$

$Drape coefficient=\frac {362}{\pi \times \frac{d_s^2}{4} -\pi \times \frac{d_^2}{4}}$

$Drape coefficient=\frac {362}{3.14 \times \frac{18^2}{4} -3.14 \times \frac{30^2}{4}}$

$Drape coefficient=\frac {362}{3.14\times \frac{324}{4} -3.14 \times \frac{900}{4}}$

$Drape coefficient=\frac {362}{3.14\times \81 -3.14 \times 225}$

$Drape coefficient=\frac {362}{452.16}$

Drape coefficient=0.80 (Ans)

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