# GATE (TF) Textile 2021 Question Paper Solution | GATE/2021/TF/19

###### Question 19 (Textile Technology & Fibre Science)

Twist (turns per inch) of a cotton yarn of 36 Ne count produced with a twist multiplier of 3.5 inch-1.Ne-0.5 is ___21___.

write here

Formula of TPI(turns per inch)=TM*
Where TM is twist multiplier and count in Ne.
Now, TPI=3.5*
TPI=3.5*6

### Explain count ?

In the context of textiles, “count” refers to the density of the yarn used in the fabric. Specifically, it is a measure of the fineness or coarseness of the yarn used to weave the fabric. The count is typically expressed as the number of yarns per unit of length, such as threads per inch (TPI) or threads per centimeter (TPC).
For example, in cotton fabrics, the count may be expressed as the number of threads per inch (TPI) or the number of threads per centimeter (TPC). Higher counts generally indicate finer yarns and a more tightly woven fabric, which can result in a smoother texture and greater durability. In contrast, lower counts generally indicate coarser yarns and a looser weave, which can result in a more breathable fabric.

### How to calculate count ?

Count in textiles is calculated by determining the number of individual yarns that are present in a specific length of a given yarn. The most common measurements used to express count are threads per inch (TPI) and threads per centimeter (TPC). Here is how you can calculate count:
Take a known length of yarn, such as one inch or one centimeter, and count the number of individual yarns present in that length. This count is often done by holding the yarn up to a light source or using a magnifying glass to make the individual yarns more visible.
Once you have counted the number of yarns in the known length, you can express this number as the count. For example, if you counted 30 individual yarns in one inch of yarn, the count would be expressed as 30s (or 30/1).
Higher count numbers represent finer yarns, while lower counts represent coarser yarns. For example, a 60s count yarn would be finer than a 30s count yarn.
Note that the specific method for calculating count can vary depending on the type of yarn and the measuring system used (e.g. English count or metric count), but the basic idea is the same – count the number of individual yarns in a known length to determine the yarn count.