Question

Tightness factor is given by

• A. $\frac{\sqrt{\text{Tex}}}{\text{L}}$
• B. L = 2 H + C
• C. L = a$^2 + \frac{a^2}{4}$
• D. L = $3\sqrt{\left(\frac{d+a}{4}\right)^2}$

Hint:

• Tightness Factor (TF or K)} is a key parameter for characterizing knitted fabric structure.
• It is defined as TF $= \frac{\sqrt{\text{Tex}}}{l}$, where Tex is yarn linear density in tex, and $l$ is stitch length (usually in mm).
• It provides a way to compare the relative tightness of different knitted fabrics, independent of yarn count and stitch length alone.
• Higher TF $\rightarrow$ Tighter, denser fabric. Lower TF $\rightarrow$ Looser, more open fabric.

Answer 1

The Correct Option is A

In Textile Engineering and Fibre Science, the tightness factor is a crucial measure that helps in evaluating the compactness or density of textile structures, such as yarns and fabrics. The given options relate to different equations and formulas applicable within the textile domain.

Among the options provided, the correct equation representing the tightness factor is:

Option 1: $$\frac{\sqrt{\text{Tex}}}{\text{L}}$$

Here’s a breakdown of the terms involved:

• Tex: A unit of linear density for textile fibers, representing the mass (in grams) of 1000 meters of fiber.
• L: Generally represents length, and in the context of this formula, it accounts for the specific measuring convention intrinsic to the calculation of tightness.

The formula $$\frac{\sqrt{\text{Tex}}}{\text{L}}$$ represents the relationship where a higher Tex or lower L results in a higher tightness factor, indicating a more compact yarn structure.