Mathematics for Machine Technology7th EditionJohn C. Peterson, Robert D. Smith Publisher: Cengage LearningISBN: 9781133281450
Mathematics for Machine Technology
Solutions for Mathematics for Machine Technology
Problem 2A:
Add 15+213+41115 .Problem 3A:
Subtract 716332 .Problem 4A:
Multiply 56423 .Problem 11A:
This casting in Figure 5-4 shows seven tapped holes, A-G. The number of threads is determined by...Problem 12A:
Bar stock is being cut on a lathe. The tool feeds (advances) 364 inch each time the stock turns once...Problem 13A:
A groove 1516 inch deep is to be milled in a steel plate. How many cuts are required if each cut is...Problem 14A:
This sheet metal section shown in Figure 5-5 has five sets of drilled holes: A, B, C, D, and E. The...Problem 15A:
The feed on a lathe is set for 164 inch. How many revolutions does the work make when the tool...Problem 16A:
How many complete pieces can be blanked from a strip of steel 2714 feet long if each stamping...Problem 17A:
A slot is milled the full length of a steel plate that is 314 feet long. This operation takes a...Problem 18A:
How many binding posts can be cut from a brass rod 4212 inches long if each post is 178 inches long?...Problem 19A:
A bar of steel 2314 feet long weighs 11012 pounds. How much does a 1 -foot length of bar weigh?Browse All Chapters of This Textbook
Chapter 1 - Introduction To Common Fractions And Mixed NumbersChapter 2 - Addition Of Common Fractions And Mixed NumbersChapter 3 - Subtraction Of Common Fractions And Mixed NumbersChapter 4 - Multiplication Of Common Fractions And Mixed NumbersChapter 5 - Division Of Common Fractions And Mixed NumbersChapter 6 - Combined Operations Of Common Fractions And Mixed NumbersChapter 8 - Introduction To Decimal FractionsChapter 9 - Rounding Decimal Fractions And Equivalent Decimal And Common FractionsChapter 10 - Addition And Subtraction Of Decimal FractionsChapter 11 - Multiplication Of Decimal Fractions
Chapter 12 - Division Of Decimal FractionsChapter 13 - PowersChapter 14 - RootsChapter 15 - Table Of Decimal Equivalents And Combined Operations Of Decimal FractionsChapter 17 - Achievement Review—section OneChapter 18 - Ratio And ProportionChapter 19 - Direct And Inverse ProportionsChapter 20 - Introduction To PercentsChapter 21 - Basic Calculations Of Percentages, Percents, And RatesChapter 22 - Percent Practical ApplicationsChapter 23 - Achievement Review—section TwoChapter 24 - Customary (english) Units Of MeasureChapter 25 - Metric Units Of Linear MeasureChapter 26 - Degree Of Precision, Greatest Possible Error, Absolute Error, And Relative ErrorChapter 27 - Tolerance, Clearance, And InterferenceChapter 28 - Customary And Metric Steel RulesChapter 29 - Customary Vernier Calipers And Height GagesChapter 30 - Metric Vernier Calipers And Height GagesChapter 31 - Digital Calipers And Height GagesChapter 32 - Customary MicrometersChapter 33 - Metric Vernier MicrometersChapter 34 - Digital MicrometersChapter 35 - Customary And Metric Gage BlocksChapter 36 - Achievement Review—section ThreeChapter 37 - Symbolism And Algebraic ExpressionsChapter 38 - Signed NumbersChapter 39 - Algebraic Operations Of Addition, Subtraction, And MultiplicationChapter 40 - Algebraic Operations Of Division, Powers, And RootsChapter 41 - Introduction To EquationsChapter 42 - Solution Of Equations By The Subtraction, Addition, And Division Principles Of EqualityChapter 43 - Solution Of Equations By The Multiplication, Root, And Power Principles Of EqualityChapter 44 - Solution Of Equations Consisting Of Combined Operations And Rearrangement Of FormulasChapter 45 - Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting TimeChapter 46 - Applications Of Formulas To Spur GearsChapter 47 - Achievement Review—section FourChapter 48 - Lines And Angular MeasureChapter 49 - Protractors—simple Semicircular And VernierChapter 50 - Types Of Angles And Angular Geometric PrinciplesChapter 51 - Introduction To TrianglesChapter 52 - Geometric Principles For Triangles And Other Common PolygonsChapter 53 - Introduction To CirclesChapter 54 - Arcs And Angles Of Circles, Tangent CirclesChapter 55 - Fundamental Geometric ConstructionsChapter 56 - Achievement Review—section FiveChapter 57 - Areas Of Rectangles, Parallelograms, And TrapezoidsChapter 58 - Areas Of TrianglesChapter 59 - Areas Of Circles, Sectors, And SegmentsChapter 60 - Volumes Of Prisms And CylindersChapter 61 - Volumes Of Pyramids And ConesChapter 62 - Volumes Of Spheres And Composite Solid FiguresChapter 63 - Achievement Review—section SixChapter 64 - Introduction To Trigonometric FunctionsChapter 65 - Analysis Of Trigonometric FunctionsChapter 66 - Basic Calculations Of Angles And Sides Of Right TrianglesChapter 67 - Simple Practical Machine ApplicationsChapter 68 - Complex Practical Machine ApplicationsChapter 69 - The Cartesian Coordinate SystemChapter 70 - Oblique Triangles: Laws Of Sines And Laws Of CosinesChapter 71 - Achievement Review—section SevenChapter 72 - Introduction To Compound AnglesChapter 73 - Drilling And Boring Compound-angular Holes: Computing Angles Of Rotation And Tilt Using Given LenghtsChapter 74 - Drilling And Boring Compound-angular Holes: Computing Angles Of Rotation And Tilt Using Given AnglesChapter 75 - Machining Compound-angular Surfaces: Computing Angles Of Rotation And TiltChapter 76 - Computing Angles Made By The Intersection Of Two Angular SurfacesChapter 77 - Computing Compound Angles On Cutting And Forming ToolsChapter 78 - Achievement Review—section EightChapter 79 - Introduction To Computer Numerical Control (cnc)Chapter 80 - Control Systems, Absolute Positioning, Incremental PositioningChapter 81 - Location Of Points: Polar Cordinate SystemChapter 82 - Binary Numeration SystemChapter 83 - Hexadecimal Numeration SystemChapter 84 - Bcd (binary Coded Decimal) Numeration SystemsChapter 85 - Achievement Review—section Nine
Book Details
Reflecting the latest technology and tools of the trade, MATHEMATICS FOR MACHINE TECHNOLOGY, 7e provides the mathematical skills and practice that students and apprentices will use on the job in the machine trades and manufacturing fields. This comprehensive book combines math concepts with relevant machine applications through industry-specific examples, realistic illustrations, and actual machine applications. Problems and examples progress from simpler to more complex, from general math to trigonometry and solid geometry, and relate directly to how the math is used in machine trades and manufacturing fields. The new Seventh Edition also includes all-new units on electronic calipers, height gages, and electronic micrometers, as well as thorough coverage of measuring in both metric and customary systems.
Sample Solutions for this Textbook
We offer sample solutions for Mathematics for Machine Technology homework problems. See examples below:
Chapter 1, Problem 1AGiven: The given figure is, And the expression is, 1 part=____. Calculation: Given: the total parts...Chapter 2, Problem 1AGiven: All the dimensions are shown in below Fig: Concept used: Mark all the corner points as k, l,...Chapter 3, Problem 1AChapter 3, Problem 11AChapter 4, Problem 1AGiven: The number is 123×6310. Concept used: Convert mixed fraction into improper fractions....Chapter 5, Problem 1A
Chapter 5, Problem 11AChapter 5, Problem 21AChapter 6, Problem 1AGiven information: An expression is given as 12+316−14. Calculation: We have been given an...Given information: A stamped sheet steel plate is given as shown below. All dimensions are in...Given information: A scale is given as below. Calculation: We have been given a scale as below. From...Given information: A scale is given as below. Calculation: We have been given a scale as below. From...Given information: A figure is given as below. Calculation: We have been given a figure as below....Chapter 10, Problem 1AGiven information: An expression is given as 0.375+10.4+5. Calculation: We have been given an...Chapter 11, Problem 1AGiven information: Circular pitch of a gear is given as 0.3925 inches. Also, below formula is given...Given: The expression is 5316+456 Calculation: Convert the mixed fraction into lowest form thus,...Given information: An expression is given as 0.69÷0.432 Calculation: We have been given an...Chapter 13, Problem 1AGiven information: A washer is given as below indicating dimensions in millimeter. Calculation: As...Chapter 13, Problem 60AGiven information: A casting is given with dimensions in millimeter as below. Calculation: Here we...Chapter 14, Problem 1AGiven information: A cube is given whose volume is 216mm3. Calculation: As we know that volume of a...Given information: A circle is given whose area is 50.24 square inch. Calculation: As we know that...Given information: A sphere is given whose volume is 14.1372 cubic inch. Calculation: As we know...Chapter 15, Problem 1AGiven information: The formula to calculate the dimension of over wires as per American national...Given information: The formula for calculating the depth of round stock piece is given by -...Chapter 17, Problem 1ARGiven information: An expression is given as 18+58 Calculation: We have been given an expression as...Given information: An expression is given as 12×58 Calculation: We have been given an expression as...Given information: An expression is given as 0.925×0.6 Calculation: We have been given an expression...Chapter 18, Problem 1AGiven: The given figure is as follows: Concept used: The dimension can be calculated by subtracting...Given information: The given relationship of the gear is N1=LD, N=1.250,D=7.940mm Calculation: As...Given information: The scale on the drawing is 1″2=1″. The schematic diagram of the system is shown...Chapter 18, Problem 48AChapter 19, Problem 1AGiven information: A gear and pinion arrangement is given as below. Number of teeth on gear A=80,...Given information: A sheet if steel 280 centimeter long weighs 165 kilograms. A 92.4 centimeter long...Chapter 21, Problem 1AChapter 22, Problem 1AGiven information: Below table shows the total pieces manufactured along with rework and scrap...Given information: Initial temperature of heated steel is 13000 F and color is dark red. Color...Given information: Below table is given for amount of carbon needed for different tool. Amount of...Given information: Manufacturing cost consists of labor costs, material cost and overhead cost....Given information: A ratio is given as 15:32. Calculation: We have been given a ratio as 15:32....Given information: Rate is given as 60% and percentage is 20. Need to find base. Calculation: As we...Given information: Base is given as 24 and percentage is 18. Need to find rate(percent)....Given information: A drill and impact driver kit is listed for $139.95 and the buyer has a coupon...Given information: The given expression is 5 ft 4 in.+2 ft 6 in.. Calculation: Given: 5 ft 4 in.+2...Given Information: Given, a unit in one system, 198 inches Calculation: To express a unit in one...Given information: The schematic diagram of the system is shown below. Figure-(1) Write the...Given Information: Given, 42792.6 millimeters Calculation: To express a unit in one system as an...Given information: The number to calculate the degree of precision is 14.304 mm. Draw the diagram to...Given information: The bilateral tolerance is 2.812″±0.006″. Write the expression for the maximum...Given information: The unilateral tolerance is 0.938″ −0.000″+0.010″. Write the expression for the...Given information: A shaft has a diameter of 0.4503" ±0.0006" Calculation: Basic shaft diameter is...Given information: The below figure represent the Metric steel Rule. Figure-(1) Write the expression...Chapter 29, Problem 1AGiven information: The vernier caliper setting is 3.242″. Write the expression for the lower limit...Chapter 30, Problem 1AChapter 31, Problem 1AChapter 32, Problem 1AGiven information: The micrometer scale reading is 0.001 in, the barrel reading is 0.175 in and the...Chapter 34, Problem 1ADigital micrometers can be used to measure the linear dimensions such as length, diameter and...Given: Length is 81 in. Concept used: Divide the length by twelve to convert inch to feet....Write the expression for determine the combination of gage blocks. S=S1−S2 ......(I) Here, Size of...Chapter 37, Problem 1AGiven: The value of b is 8, d is 4 and e is 2. Calculation: The algebraic expression is given below:...Given: The value of x is 12 and y is 6. Calculation: The algebraic expression is given below: 2xy+7...Given: The value of m is 5, p is 4 and r is 3. Calculation: The algebraic expression is given below:...Given: Calculation: Now, we put the given values in this equationGiven information: The first number is −11 and second number is −2. The figure below shows the...Given information: The given expression is problem. Calculation: By solving this expression....Given information: The given expression is problem. Calculation: By solving this expression. (−2)2=4...Given information: The given expression is problem. Calculation: By solving this expression....Given expression: −16−(8.4−5.2) Calculation: We need to subtract the given number,...Chapter 40, Problem 1AGiven: Original length of metal = 6.7520in. Linear expansion per unit of length per degree...Given: The term is (2x2−5y3)2. Calculation: The algebraic expression is calculated as follows: =(2 x...Given: Total angle is 180°. Calculation: From Figure 1, the value of ∠1=y, ∠2=2y, ∠3=3y−20° and...Chapter 42, Problem 1AChapter 43, Problem 1AChapter 44, Problem 1AGiven information: Given that, the dimensions shown in the figure can be found using these two...Given information: Given that, the dimensions shown in the figure can be found using these two...Given information: Given that, the measure of angles shown in the figure can be found using the...Given information: Given that, the formula is used in machine trade calculations,...Given information: The given equation is 6.083H2−12=5.8712.53. Calculation: We have been given the...Given information: The given equation is 12.85−3C2=7.43−31.29. Calculation: We have been given the...Given information: The given equation is P2−186.735.65P=−23.30P3.04. Calculation: We have been given...Chapter 45, Problem 1AGiven information: D = 0.750 inchN = 350C = 3.1416 DN12 Calculation: According to the formula given,...Given information: Module(m)=6.5 mmNo of teeth (T)=18 Calculation: Pitch diameter (D) is given by,...Given information: Module(m)=9mm;No of teeth (T)=24 Calculation: Pitch diameter (D) is given by,...Given information: Module(m)=2.5mm;No of teeth (T)=10 Calculation: Pitch diameter (D) is given by,...Given information: Module(m)=3.75mm;No of teeth (T)=16. Calculation: Pitch diameter (D) is given by,...Given information: Module(m)=10mm,No of teeth (T)=26. Calculation: Its known that from the given...Given information: The sum of x, y and reduces by c. Calculation: Its known that from the given...Given information: −8P+21P Calculation: The given expression to simplify is −8P+21P. {Applying the...Chapter 48, Problem 1AThere are 360 degree in 1 circle.Chapter 49, Problem 1AGiven information: The given angle is 43∘. Calculation: Two angles are complementary when they add...Given information: The given angle is 13∘. Calculation: Two angles are Supplementary when they add...Chapter 50, Problem 1AChapter 50, Problem 16AChapter 51, Problem 1AChapter 52, Problem 1AChapter 52, Problem 7AChapter 52, Problem 30AChapter 53, Problem 1AGiven information: The diameter given is d = 6.500" The circumference of the circle is given by...Chapter 53, Problem 20AGiven information: The given value angle 1 is ∠1=107°18' The given value angle 2 is ∠2=41°21' Given...Chapter 54, Problem 1AChapter 54, Problem 20AChapter 54, Problem 22AChapter 54, Problem 26AChapter 55, Problem 1AGiven: An angle is 45°. Construction: Following are the steps of construction for angle 45°: Draw a...Chapter 56, Problem 1ARGiven information: The angle ∠CAD is 38°, angle ∠BEC is 40°, arc AC⌢ is 130° and arc CE⌢ is =134°....Given information: The angle AC⌢ is 116°, the angle EC⌢ is 140°, the angle EF⌢ is 64° and the angle...Chapter 57, Problem 1AConcept used: The template is divided into two trapeziums and a rectangle as shown. The area of two...Concept used: The metal sheet is divided into three trapeziums and a rectangle as shown. The area of...Chapter 58, Problem 1AChapter 58, Problem 31AChapter 59, Problem 1AChapter 60, Problem 1AChapter 61, Problem 1AGiven: Height h = 6 in. Base diameter of smaller piece D1 = 2 in. Base diameter of larger piece D2 =...Chapter 61, Problem 13AChapter 61, Problem 33AChapter 62, Problem 1AGiven information: The number of rib is 4 and the weighs of steel is 0.283 pound per cubic inch....Chapter 62, Problem 28AGiven information: Area of any shape is given as 356.4 square inches. Calculation: In the...Given information: Weight of steel: w=0.264 lb/cubic inch The shaft shown in the figure:...Chapter 65, Problem 1AChapter 66, Problem 1AChapter 67, Problem 1AGiven information: Length of the gage block (L) =10” ; Sine bar angle (θ) =35∘ Concept Used: As it's...Given information: Length of the gage block (L)=5” ; Sine bar angle (θ)=40∘40' Concept Used: As it's...Chapter 67, Problem 31AChapter 68, Problem 1AGiven Information: ρ=7752 kg/cm3 Concept used: Width=density×volumeVolume of...Chapter 68, Problem 15AGiven information: The given figure is Calculation: Its seen form the above figure and considering...Given Information: θ= 208°50' In Quadrant 3, y is negative and x is negative. In the above triangle,...Chapter 70, Problem 1AGiven: A figure as above, in which different dimensions are shown. AB=77.023 mm, BC=CD=DE=21.755 mm...Given: A figure as above, in which different dimensions are shown. AB=7.315", BC=7.590", ∠A=∠X,...The below figure represent the schematic diagram of the system. Figure -(1) Write the expression of...Given: Angle shown in below figure: Calculation: Apply cos rule in triangle ABC as follows:...Chapter 71, Problem 1ARGiven information: The given figure is Calculation: Let us consider the triangle ABC, the length of...Given: Angle shown in below figure: Calculation: Apply cos rule in triangle ABC as follows:...Given information: The given figure is Calculation: Intriangle ABC, the length of side AB can be...Given information: The dimensions of rectangular solid block are AC=31.50 mmCD=24.75 mmBD=72.25 mm...Given information: We are given the following figure- Calculation: After observing the figure...Project auxiliary lines that form right triangles containing the given angles, the axis of the hole,...Project auxiliary lines that form right triangles containing the given angles, the axis of the hole,...Given information: ∠A=40∘38' and ∠B=47∘21'. Calculation: Applying the formula of ∠R and ∠T....The below figure represents the sketch of the sketch of a pyramid formed on surface of the extended...The below figure represents the sketch of the sketch of a pyramid formed on surface of the extended...Given information: A diagram with top view, front view and size view has given. Calculation:...Consider the angle ∠A=23°10′ of triangle ADE, the angle ∠B=35°00′ of triangle BDE. There are mainly...Consider the angle ∠A=37°.20′ of triangle ADE, the angle ∠B=71°5′ of triangle BDE. There are mainly...Given information: The top, front and right side views of a part are shown in the following figure-...Given information: The figure blow denotes the given figure with dimensions and different parts....Given: Three view of compound-angular hole are shown below: Concept used: Expression for the angle...Given: Three views of angular portion of tool are shown below: Concept used: Construct a rectangular...Given: The given coordinates are A (-5, -5), B (2, -3), C (9, -1), D (7,6), E (0,4) andF (-7,2)....Given: The length A is 170.00 mm. The length B is 130.00 mm. The length C is 122.40 mm. The length D...Given: The holes are shown below: Calculation: Coordinates of the holes byincremental positioningcan...Given: All the points are shown below: Calculation: Polar coordinates of the points can calculated...Given information: A binary number 110100.012. Calculation: The decimal number for integer value is...Given information: A binary number 1000010101011.100100100112. Calculation: Binary number system...Given information: A binary number 1100100101001011.10010010012. Calculation: Binary number system...Given information: A binary number 11101001001.10100100012. Calculation: Binary number system uses...Given information: A hexadecimal numbers F0E.9D516. Calculation: Binary number system uses the...Given information: A hexadecimal numbers B70905.F816. Calculation: Binary number system uses the...Given information: A BCD (8421) numbers 11 0110 0101.0000 0111. Calculation: BCD number system uses...Given information: An Excess-3 code numbers 1010 0110.0011 0101. Calculation: Excess-3 code is...Given information: An Excess-3 code numbers 101 1001 1000.0110 1100 1001. Calculation: Excess-3 code...Given: The point is (6,−8). Calculation: The ordered pair (6,−8) represents a point which is 6 units...Given: The binary number is 1100012. Concept used: For conversion binary number into hexadecimal...
More Editions of This Book
Corresponding editions of this textbook are also available below:
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Mathematics for Machine Technology
6th Edition
ISBN: 9781428336568
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 8220100548161
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9781305177932
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
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