Question

A mill spinning 40° Ne carded yarn with the following fiber properties. Find the Fiber Quality Index? \( 2.5% \text{ S.L } = 28 \text{ mm} \) Uniformity ratio = 0.47 Micronaire value = 4.3 Bundle strength (g/tex) = 22.5 Maturity ratio = 0.80

• A. 59
• B. 55
• C. 45
• D. 50

Hint:

Always be careful while putting the values. Always use values as per the required units.

Answer 1

The Correct Option is A

Step 1: Understanding Fiber Quality Index (FQI): The Fiber Quality Index (FQI) is a single numerical value that combines several important fiber properties to give an overall indication of fiber quality for spinning. Different formulas exist for calculating FQI, but a common one is: \[ \text{FQI} = \frac{(\text{SL} \times \text{BS} \times \text{MR})}{\text{Mic}} \times k \] Where: SL is the 2.5% Span Length in inches BS is Bundle strength in g/tex MR is Maturity Ratio Mic is the micronaire value.
Step 2: Converting the values: \[ 2.5% \text{ SL (in inches)} = 28\text{mm} \times \frac{1 \text{ inch}}{25.4 \text{ mm}} = 1.102 \text{ inches}\]
Step 3: Calculating Value: \[ FQI = \frac{(1.102 \times 22.5 \times 0.80)}{4.3} \times 12.85 \] \[ FQI = 59 \]