# Useful Formulas for Determining Fiber Properties

Formulas for Determining Fiber Properties:
Today we will discuss some easy formula aims to determine some important properties of the fiber-like diameter of the fiber, fiber maturity, spinning limit, spinning value of cotton fiber, standard fiber fineness, etc. Those properties are necessary to know before making a decision about production. So let’s have a look at how can we determine those?

### Useful Formulas for Determining Fiber Properties

Diameter of Fiber properties:

(I) Diameter of fibre in microns = 2000 = √ { X ÷ ( Y x π x 9000 ) }

Where,
X = Fibre denier
Y = Fibre specific gravity

Denier is the mass in grams of 9 kilometers of the material.

Also ,

1 denier = 0.05315 grains and
Denier = 5315 ÷ cotton count

(II) Fiber diameter in microns = 20 √ { Denier ÷ (3.14 x specific gravity)}

Fibers per cross-section of yarn (T),
T = 20√ [ { 53.15 x sum of ( % of each denier ÷ each denier) } ÷ ( yarn count to be spun ) ]

Fiber maturity:

Fibre maturity ratio = (Normal – Dead ) /200 + 0.7

Maturity coefficient = ( N + 0.75T + 0.4 D) / 100

Where,
N = normal coefficient
T = Thin-walled of half mature fibers

Spinning limit:

Spinning limit = 5315 / (Denier of fibre x Actual fibers per cross-section)

The ratio should be about 3200 for fine yarn counts and about 3000 for course counts.

Neps:

Neps per 100 square = { (1.531 – log (34-x)) x 100 } / 0.434 inches of web

Where X is the number of cells containing neps (Shirley template method) and 34 is the total number of cells.

Value of cotton Spinning:
The formula given by Indian Central Cotton Committee is

C = 78.2X2  –  79.2X3 – 24.8

Where,
C = highest standard warp count.
X2 =Mean fiber length In inches
X3 = Mean fiber weight per inch (106 oz. )

Another formula to predict spinning value from fiber properties is:

X1 = 71.6X2 – 70.8X3 – 20.8X4+ 17.9X5 + 0.037X6 + 4.4 X7-14.1

X1 = Highest standard warp count
X2 = Fibre length (inches)
X3 = Fibre weight per inch (10-6 oz.)
X4  = Fibre width(10-3 inch)
X5 = Fibre strength
X6 = Fibre convolutions
And X7 = Fibre rigidity (oz./inch2 x 10-6)

Standard fiber fineness:
Standard fiber fineness = Measured fineness / Maturity ratio

```Author of this Article:
Amit Kumar Das
Founder of "টেক্সটাইল ম্যানিয়া" Blog
Pabna Textile engineering college, Pabna, Bangladesh
Cell: 01770 456240
Email: [email protected]```

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