Mathematics for Machine Technology

by Smith, Robert Donald

• ISBN13: 9781401815813
• ISBN10: 1401815812
• Edition: 5th
• Format: Paperback
• Copyright: 2003-11-06
• Publisher: Cengage Learning

Summary

Occupations like those of machinists, tool and die makers, pattern makers, drafters, and designers require a fundamental knowledge of general math as well as of more advanced topics like oblique trigonometry, compound angles, and numerical control. This updated edition of Mathematics for Machine Technology promotes an understanding of all the mathematical concepts necessary for success in the machine trades and manufacturing fields. The author effectively combines math concepts with the relevant machine applications so that readers fully understand the value of what they are learning. Industry-specific examples, realistic illustrations, and actual applications further enhance the theory-to-application connection.

Author Biography

Robert D. Smith was an Associate Professor Emeritus of Industrial Technology at Central Connecticut State University in New Britain, Connecticut. His manufacturing industry experience included work as a tool designer, quality control engineer, and chief manufacturing engineer

Table of Contents

Preface	xi
SECTION 1 Common Fractions, Decimal Fractions, and Percentage	1	(94)
UNIT 1 Introduction to Common Fractions and Mixed Numbers	1	(5)
UNIT 2 Addition of Common Fractions and Mixed Numbers	6	(5)
UNIT 3 Subtraction of Common Fractions and Mixed Numbers	11	(4)
UNIT 4 Multiplication of Common Fractions and Mixed Numbers	15	(4)
UNIT 5 Division of Common Fractions and Mixed Numbers	19	(3)
UNIT 6 Combined Operations of Common Fractions and Mixed Numbers	22	(5)
UNIT 7 Computing with a Calculator: Fractions and Mixed Numbers	27	(5)
UNIT 8 Introduction to Decimal Fractions	32	(4)
UNIT 9 Rounding Decimal Fractions and Equivalent Decimal and Common Fractions	36	(5)
UNIT 10 Addition and Subtraction of Decimal Fractions	41	(4)
UNIT 11 Multiplication of Decimal Fractions	45	(2)
UNIT 12 Division of Decimal Fractions	47	(4)
UNIT 13 Powers	51	(6)
UNIT 14 Roots	57	(5)
UNIT 15 Table of Decimal Equivalents and Combined Operations of Decimal Fractions	62	(6)
UNIT 16 Computing with a Calculator: Decimals	68	(5)
UNIT 17 Introduction to Percents	73	(3)
UNIT 18 Basic Calculations of Percentages, Percents, and Rates	76	(6)
UNIT 19 Percent Practical Applications	82	(5)
UNIT 20 Achievement Review-Section One	87	(8)
SECTION 2 Linear Measurement: Customary (English) and Metric	95	(50)
UNIT 21 Customary (English) and Metric Units of Measure	95	(7)
UNIT 22 Degree of Precision, Greatest Possible Error, Absolute Error, and Relative Error	102	(5)
UNIT 23 Tolerance, Clearance, and Interference	107	(8)
UNIT 24 Customary and Metric Steel Rules	115	(6)
UNIT 25 Customary Vernier Calipers and Height Gages	121	(8)
UNIT 26 Customary Micrometers	129	(6)
UNIT 27 Customary and Metric Gage Blocks	135	(4)
UNIT 28 Achievement Review-Section Two	139	(6)
SECTION 3 Fundamentals of Algebra	145	(106)
UNIT 29 Symbolism and Algebraic Expressions	145	(7)
UNIT 30 Signed Number	152	(13)
UNIT 31 Algebraic Operations of Addition, Subtraction, and Multiplication	165	(7)
UNIT 32 Algebraic Operations of Division Powers, and Root	172	(12)
UNIT 33 Introduction to Equations	184	(7)
UNIT 34 Solution of Equations by the Subraction, Addition, and Division Principles of Equality	191	(9)
UNIT 35 Solution of Equations by the Multiplication, Root, and Power Principles of Equality	200	(7)
UNIT 36 Solution of Equations Consisting of Combine Operations and Rearrangement of Formulas	207	(8)
UNIT 37 Ratio and Proportion	215	(8)
UNIT 38 Direct and Inverse Proportions	223	(6)
UNIT 39 Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time	229	(1)
UNIT 40 Applications of Formulas to Spur Gears	230	(16)
UNIT 41 Achievement Review-Section Three	246	(5)
SECTION 4 Fundamentals of Plane Geometry	251	(78)
UNIT 42 Lines and Angular Measure	251	(13)
UNIT 43 Protractors-Simple Semicircular and Vernier	264	(6)
UNIT 44 Types of Angles and Angular Geometric Principles	270	(7)
UNIT 45 Introduction to Triangles	277	(6)
UNIT 46 Geometric Principles for Triangles and Other Common Polygons	283	(10)
UNIT 47 Introduction to Circles	293	(9)
UNIT 40 Arcs and Anules of Circles, Tangent Circles	302	(10)
UNIT 49 Fundamental Geometric Constructions	312	(8)
UNIT 50 Achievement Review-Section Four	320	(9)
SECTION 5 Geometric Figures: Areas and Volumes	329	(44)
UNIT 51 Areas of Rectangles, Parallograms, and Trapezoids	329	(7)
UNIT 52 Areas of Triangles	336	(4)
UNIT 53 Areas of Circles, Sectors, and Segments	340	(6)
UNIT 54 Volumes of Prisms and Cylinders	346	(8)
UNIT 55 Volumes of Pyramids and Cones	354	(7)
UNIT 56 Volumes of Spheres and Composite Solid Figures	361	(5)
UNIT 57 Achievement Review-Section Five	366	(7)
SECTION 6 Trigonometry	373	(58)
UNIT 58 Introduction Trigonometric Functions	373	(9)
UNIT 59 Analysis of Trigonometric Functions	382	(4)
UNIT 60 Basic Calculations of Angles and Sides of Right Triangles	386	(9)
UNIT 61 Simple Practical Machine Applications	395	(7)
UNIT 62 Complex Practical Machine Applications	402	(10)
UNIT 63 The Cartesian Coordinate System	412	(4)
UNIT 64 Oblique Triangles: Law of Sines and Law of Cosines	416	(10)
UNIT 65 Achievement Review Section Six	426	(5)
SECTION 7 Compound Angles	431	(36)
UNIT 66 Introduction to Compound Angles	431	(3)
UNIT 67 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths	434	(4)
UNIT 68 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles	438	(7)
UNIT 69 Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt	445	(7)
UNIT 70 Computing Angles Made by the Intersection of Two Angular Surfaces	452	(6)
UNIT 71 Computing Compound Angles on Cutting and Forming Tools	458	(7)
UNIT 72 Achievement Review-Section Seven	465	(2)
SECTION 8 Computer Numerical Control (CNC)	467	(18)
UNIT 73 Introduction to Computer Numerical Control (CNC)	467	(3)
UNIT 74 Control Systems, Absolute Positioning, Incremental Positioning	470	(8)
UNIT 75 Binary Numeration System	478	(4)
UNIT 76 Achievement Review Section Eight	482	(3)
Appendixes:
A United States Customary and Metric Units of Measure	485	(1)
B Principles of Plane Geometry	486	(2)
C Formulas for Areas (A) of Plane Figures	488	(1)
D Formulas for Volumes of Solid Figures	489	(1)
E Trigonometry	490	(3)
Answers to Odd-Numbered Applications	493	(28)
Index	521