GATE (TF) Textile 2013 Question Paper Solution | GATE/2013/TF/42

Question 42 (Textile Engineering & Fibre Science)

On a winding machine, if the winding speed is increased from 1000 m/min to 1200 m/min, the percentage increase in the yarn tension will be approximately

Answer / Solution

Given in the question
Winding initial speed(v1)=1000 m/min

Winding final speed(v2)=1200 m/min

The percentage increased in yarn tension(\Delta T)=?

By formula:

Tension  \alpha  speed^2

Yarn tension is directly proportional to the square of the speed.

T \alpha v^2









(\frac{T_1}{T_2}-1)\times 100=0.44 \times 100

(\frac{T_1}{T_2}-1)\times 100=44%

\Delta T=44%

i.e., The percentage increase in the yarn tension=44 (Answer)
Option D is correct.

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