Review of Mathematical Nomenclature and Operations
p. 1
Prefixes for International (SI) Units
p. 10
Common Conversions
p. 11
Dimensional Analysis
p. 12
Yarn Manufacturing Calculations
p. 16
Roll and Package Surface Speed
p. 16
Drum Drive
p. 17
Belt Drive
p. 19
Gears and Pulleys With Teeth
p. 22
Idler Gears
p. 23
Compound Gears
p. 25
Gear Train
p. 26
Textile Product Numbering
p. 29
Fiber Blending
p. 34
Bales Per Laydown Using the Sample Size Formula
p. 37
Mixing Power of a Line of Machines in the Opening Room
p. 38
Short Fiber Calculator
p. 40
Fiber Openness
p. 41
Cleaning Efficiency
p. 43
Waste Removed
p. 44
Cotton Waste Removal Required
p. 45
Percent Run Time and Throughput Rate
p. 46
Percent Nep Content Change
p. 47
Percent Short Fiber Content Change
p. 47
Draft
p. 48
Card Mat Weight (Under the Feed Roll)
p. 52
Effect of Doubling
p. 53
Twist
p. 53
Plied Yarn Notation
p. 56
Production Rate
p. 57
Fibers Per Yarn Cross Section
p. 59
Using the Compact Cover Factor (CCF)
p. 60
Typical Off-Line Quality Assurance Practices in Short Staple Yarn Spinning Plants
p. 67
Summary
p. 67
Incoming Cotton Raw Material
p. 67
Incoming Man-Made Staple Raw Material
p. 70
Opening and Cleaning of Cotton Stock
p. 72
Opening of Man-Made Fiber Stock
p. 75
Chute Fed Carding of Cotton, Blended, or Man-Made Fibers
p. 76
Pre-Drawing of 100% Cotton
p. 79
Lap Winding and Combing of 100% Cotton
p. 81
Intermediate or Breaker Drawing of Cotton, Blended, or Man-Made Fibers
p. 83
Finisher Drawing of Cotton, Blended, or Man-Made Fibers
p. 84
Roving of Cotton, Blended, or Man-Made Fibers
p. 85
Ring Spinning of Cotton, Blended, or Man-Made Fibers
p. 86
Open-End Spinning of Cotton, Blended, or Man-Made Fibers
p. 89
Air Jet Spinning of Blended and Man-Made Fibers
p. 91
Off-Standard Reporting System
p. 92
Yarn Break Factor Calculations
p. 93
Statistical Calculations and Methods Used in Textiles
p. 94
Introduction
p. 94
General Observations About Data
p. 94
The Mean Value of Data
p. 96
Dispersion of Data
p. 97
Confidence Interval for a Sample Estimate of the Population Mean
p. 104
Comparison of Multiple Means
p. 107
Comparison of Standard Deviations or Variances
p. 111
Sampling
p. 113
Simple Correlation and Regression Analysis
p. 115
Practice Problems - Statistical Calculations
p. 120
Statistical Process Control (SPC)
p. 122
Practice Problem Solutions
p. 135
Dimensional Analysis
p. 135
Roll and Package Surface Speed
p. 136
Drum Drive
p. 136
Belt Drive
p. 136
Gear Train
p. 137
Textile Product Numbering
p. 138
Fiber Blending
p. 140
Cleaning Efficiency
p. 141
Waste Removed
p. 141
Draft
p. 142
Twist
p. 143
Plied Yarn Notation
p. 144
Production Rate
p. 144
Fibers Per Cross Section
p. 146
Using Compact Cover Factors
p. 147
Statistical Calculations
p. 149
Statistical Process Control Charts
p. 154
Table of q Values for 95% Confidence (5% Risk)
p. 157
Table of q Values for 99% Confidence (1% Risk)
p. 159
Table of Critical F Values for 95% Confidence (5% Risk)
p. 161
Table of Critical F Values for 99% Confidence (1% Risk)
p. 163
Table of Constants for Control Charts
p. 165
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