# GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/14

###### Question 14 (Textile Technology & Fibre Science)

Yarn diameter varies

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### What does yarn diameter means?

Yarn diameter refers to the thickness or size of a single strand of yarn. It is typically measured in units of length, such as millimeters or inches, and is an important characteristic of yarn that affects its weight, strength, and appearance.
The diameter of a yarn can have a significant impact on the resulting fabric or garment. Thicker yarns generally produce heavier and more durable fabrics, while finer yarns create lighter and more delicate fabrics. In addition, yarn diameter can affect the texture and drape of the fabric, as well as its ability to hold shape and resist stretching.
Yarn diameter can be influenced by a variety of factors, including the type of fiber used, the spinning method, and the number of plies or twists in the yarn. Manufacturers often specify the yarn diameter or weight on the yarn label or packaging to help consumers choose the appropriate yarn for their project.

### What is the formula of yarn?

$Diameter of yarn(d)=4.44 \times 10^-3 \sqrt \frac{yarn tex}{density of fibre}$ cm

or

$Diameter of yarn(d)=3.37 \times 10^-3 \sqrt \frac{yarn tex}{packing coefficient\times density of yarn}$