The intent of Math for Machinists is to provide students with a review of basic math operations (whole numbers, fractions, decimals, percentages), measurements, and additional math topics that are directly applicable to machining and manufacturing, such as the precision measurements, angles, area, volume, and gear calculations. Creative problems and pertinent exercises help students develop their math skills as well as their knowledge of the trade. Answers to odd-numbered practice problems are listed in the back of the text.
Format combines text and workbook elements so that learners can put theory into practice immediately.
Practice problems reinforce unit concepts of basic math operations.
Application problems allow students to tie what they have learned to practical machinist math problems.
Author(s): Mark W. Huth
Edition: 1
Publisher: The Goodheart-Wilcox Company Inc.
Year: 2019
Language: English
Pages: 376
Tags: engineering, mathematics
Section 1—Whole Numbers
1 Number Systems . . . . . . . . . . . . . . . . . . 2
2 Adding Whole Numbers . . . . . . . . . . . 7
3 Subtracting Whole Numbers . . . . . . . 15
4 Multiplying Whole Numbers . . . . . . 23
5 Dividing Whole Numbers . . . . . . . . . 33
6 Combined Operations . . . . . . . . . . . . 43
Section 2—Common Fractions 7 Parts of a Fraction . . . . . . . . . . . . . . . . 52
7 Parts of a Fraction . . . . . . . . . . . . . . . . 52
8 Proper Fractions, Improper Fractions, and Mixed Numbers . . . . 61
9 Least Common Denominator . . . . . . 67
10 Adding Fractions . . . . . . . . . . . . . . . . . 73
11 Subtracting Fractions . . . . . . . . . . . . . 85
12 Multiplying Fractions . . . . . . . . . . . . . 93
13 Dividing Fractions . . . . . . . . . . . . . . 101
Section 3—Decimal Fractions 14 Decimal System . . . . . . . . . . . . . . . . . 110
14 Decimal System . . . . . . . . . . . . . . . . . 110
15 Converting between Common Fractions and Decimal Fractions . . . 115
16 Adding Decimal Fractions . . . . . . . . 123
17 Subtracting Decimal Fractions . . . . 131
18 Multiplying Decimal Fractions . . . . 139
19 Dividing Decimal Fractions . . . . . . . 147
Section 4—Percent, Ratio, and Proportion
20 Percent and Percentage . . . . . . . . . . 158
21 Ratio and Proportions . . . . . . . . . . . 167
Section 5—Linear Measure 22 Reading Rulers . . . . . . . . . . . . . . . . . 178
22 Reading Rulers . . . . . . . . . . . . . . . . . 178
23 Perimeter and Circumference . . . . . 183
24 Tolerances . . . . . . . . . . . . . . . . . . . . . . 195
25 Vernier Measuring Instruments . . . 201
Section 6—Formulas
26 Equations and Formulas . . . . . . . . . 212
27 Thread Formulas . . . . . . . . . . . . . . . . 217
28 Taper Formulas . . . . . . . . . . . . . . . . . 223
29 Speeds and Feeds . . . . . . . . . . . . . . . 229
30 Spur Gear Calculations . . . . . . . . . . 235
Section 7—Angles 31 Units of Angular Measure . . . . . . . . 242
31 Units of Angular Measure . . . . . . . . 242
32 Basic Math Operations with Angles . . . . . . . . . . . . . . . . . . . . 251
33 Triangles . . . . . . . . . . . . . . . . . . . . . . . 263
34 Right Triangle Trigonometry . . . . . . 269
35 Oblique Triangles . . . . . . . . . . . . . . . 281
Section 8—Powers and Roots 36 Powers . . . . . . . . . . . . . . . . . . . . . . . . 292
36 Powers . . . . . . . . . . . . . . . . . . . . . . . . 292
37 Roots of Numbers . . . . . . . . . . . . . . . 301
Section 9—Area and Volume 38 Area of Polygons . . . . . . . . . . . . . . . . 310
38 Area of Polygons . . . . . . . . . . . . . . . . 310
39 Area of Circles and Circular Segments. . . . . . . . . . . . . . . . . . . . . . . 323
40 Volume of Cubes, Rectangular Solids, and Prisms . . . . . . . . . . . . . . . 331
41 Volume of Cylinders, Cones, and Spheres . . . . . . . . . . . . . . . . . . . . 337
Appendices
Appendix A: US Customary to SI Metric Conversions . . . . . . . . . . . . . 345
Appendix B: SI Metric to US Customary Conversions . . . . . . . . . . . . . . . . . . . . . . . 346
Appendix C: Formulas . . . . . . . . . . . . . . . . . 347
Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353
Answers to Odd-Numbered Questions . . . . . . . . . . . . . . . . . . . . . . . . . . 357
