**How to Calculate Yarn Diameter from Count **

**Amit Kumar Das** Founder of "টেক্সটাইল ম্যানিয়া" Blog Pabna Textile engineering college, Pabna, Bangladesh **Cell:** 01770 456240 **Email:** amitptec6th@gmail.com

**Finding the diameter of a given count of yarn: **

The diameter of a yarn can be found out by extracting the square root of the total yards in a pound of the given count and then subtracting 10 per cent from the result. The yarn diameter in inch is the reciprocal.
**For example: **
**Find out the diameter of a 46s yarn.** Yards in a pound (840 x 46) Square root 166.6 Less 10% 177.0 Hence the diameter 1/177 inch In other words, if 177 threads are laid side by side they occupy one inch Diameter of yarns vary as the square root of the **yarn counts** Thus the diameter of 36s is 1/157 inch And 16s is 1/104 inch This can be shortened in a simple equation as bellows **Diameter per inch (cotton/spun silk)** = √(yards per pound) - 10% = 0.9 √yards per pound = 26.1 √count
This calculation of yarn diameter is very useful particularly in weaving for determining the optimum ends and picks per inch. Intersections of warp ends for weft threads and weft threads for warp have to be carefully considered. This is also useful for finding ends and picks while changing from one count to another, for finding the counts in changing from one number of threads per inch to another number of threads per inch and for finding ends and picks per inch in use and in changing from one pattern to another.

**Mathematical problem: ****Find out the diameter of 20s count of yarn. ****Solution: **Diameter per inch = √ ( yards per pound) - 10% Here yards per pound = (20 x 840) So, now **Diameter per inch** = √(yards per pound) - 10% = √ (20 x 840 ) - 10% = 118 per inch **(ANS)**
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