Relation between Two Fineness Measuring Systems

Relation between Two Fineness Measuring Systems 

System of measuring fineness:

The fineness of cotton fiber is measured by following two systems:

 

American system : 

In this system the linear density is expressed in microgram per inch.

Here, the unit of weight = microgram (gm X 10-6)

The unit of length = inch

British system: 

In this system the linear density is either the fiber wt, per cm or the hair wt per cm, H

Here, the unit of weight = milligram X 10-5

The unit of length = cm

The unit of fineness = H X 10-5 mg/cm

Relation between Two Fineness Measuring Systems

American linear density = Fiber wt in gm X 10-6/inch
= A X 10-6 gm/inch

British linear density = Fiber wt in mg X 10-5/cm

= Fiber wt in gm X 10-3 X 10-5/cm
= H X 10-8 gm/cm
= H X 10-8 X 2.54 gm/inch

We have, A X 10-6 = H X 10-8 X 2.54

=> A = H X 10-2 X 2.54

This is the derived relationship between them.