GATE (TF) Textile 2017 Question Paper Solution | GATE/2017/TF/49

Question 49 (Textile Engineering & Fibre Science)

The compressive pressure applied on to a fabric is inversely proportional to the cube of thickness of the fabric. If the thickness is halved during compression, then the pressure increases by __6.9 to 8.1__ times.

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Given in the question
Let , inial thickness of the fabric=t1

Then, final thickness of the fabric(t2)=t1/2
Initial compressive pressure applied on fabric=P1

Final compressive pressure applied on fabric(P2)=?

Given,compressive pressure is inversaly proportional to the cube of the thickness of the fabric

Compressive pressure \alpha \frac{1}{(thickness)^3}

P \alpha \frac{1}{(t)^3}






P_2=8 \times P_1

i.e. final pressure is increased by 8 times. (Answer)

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