GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/48

Question 48 (Textile Engineering & Fibre Science)

Projected area of a 30 cm diameter fabric specimen placed on 20 cm diameter support plate of drape tester is 302 cm2. Drape coefficient for this fabric is approximately

(A)0.47
(B)0.57
(C)0.67
(D)0.77
[Show Answer]

Option D is correct

Given in the question-

Diameter of fabric specimen(d)=30 cm

Support diameter(ds)=20 cm

Projected area=302 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 {302}{\pi \times \frac{d_s^2}{4} -\pi \times \frac{d_^2}{4}}

Drape coefficient=\frac {302}{3.14 \times \frac{20^2}{4} -3.14 \times \frac{30^2}{4}}

Drape coefficient=\frac {302}{3.14\times \frac{400}{4} -3.14 \times \frac{900}{4}}

Drape coefficient=\frac {302}{3.14\times \100 -3.14 \times 225}

Drape coefficient=\frac {302}{392.5}

Drape coefficient=0.77 (Ans)

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Frequently Asked Questions | FAQs

How do you calculate the drape coefficient?

The drape coefficient, also known as the drapeability coefficient, is a numerical value used to quantify the drape or drapability of a fabric. It represents how well a fabric can conform to the shape of a surface or how it hangs when subjected to gravity. The drape coefficient is calculated using the Kawabata Drape Coefficient Test, which involves measuring the fabric’s behavior when it is draped over a specific shape.
A higher drape coefficient indicates that the fabric has better drapeability or conformability to the shape of the drape tester, while a lower coefficient indicates less drapeability or stiffer behavior.
It’s important to note that the specific dimensions, shape of the drape tester, and other testing parameters may vary depending on the testing standard or specific research requirements. The calculation method provided here represents a general approach to calculating the drape coefficient using the Kawabata Drape Coefficient Test.

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