Machine Shop Calculation
Task 1. Describe the Processes for Adding, Subtracting, Multiplying, and Dividing Fractions.
Figure 1. Place Value of Whole Numbers
Subtraction.
Multiplication.
Common Fractions
Figure 2. Fractional Parts of A Unit
Improper Fraction.
Figure 4. 1/4 Is Larger Than 1/6.
Reducing Fractions
Changing to a Given Denominator.
Changing an Improper Fraction to a Whole or Mixed Number.
Reducing a Fraction to its Lowest Terms.
Finding the Least Common Denominator of A Group of Fractions Having Different Denominators.
Addition
Subtraction - od164070023
Subtracting Mixed Numbers.
Multiplication
Shop Work Problems.
Division - od164070027
Complex Fractions
Conclusion - od164070029
Task 2. Describe the Processes for Converting Fractions to Decimals and Decimals to Fractions
Definition of Terms
Reduction of a Common Fraction to a Decimal Fraction
Reduction of a Decimal Fraction to a Common Fraction
Table 1. Decimal Equivalent of Some Common Fractions.
Subtraction - od164070035
Division - od164070036
Accuracy
Conclusion - od164070038
Practical Exercise 1. - od164070039
Practical Exercise 1. - Continued
Lesson 1. Practical Exercise -Answers
Task 1. Describe the Process for Converting Linear Measurements from the English to the Metric System
Table 2. English System Linear Measurements
Table 4. Linear Measurements Equivalent Values.
Table 5. Decimal And Metric Equivalents of Fractions of an Inch.
Converting From the English System to the Metric System.
Converting From the English System to the Metric System. - Continued - od164070047
Converting From the English System to the Metric System. - Continued - od164070048
Task 2. Describe the Processes for Solving Problems Using Ratio and Proportion.
Ratio and Proportion
Proportion
Inverse Proportion.
Pulley Trains and Gear Trains
Figure 8. Pulleys
Figure 9. Pulley Train
Worm and Worm Gearing
Task 3. Describe the Processes for solving Problems Using Trigonometry.
Trigonometric Functions
Figure 12. Sides in Referernce to Angle "A."
Trigonometric Functions - Continued
Figure 13. Value of An Angle in Terms Of the Sides
Procedure for using these Rules.
Figure 14. Find the Side Opposite Angle "A."
Calculations with Angles
Calculations with Angles - Continued
Trigonometric Tables
Table 6. Trigonomertic Tables
Table 7. Trigonometric Tables Cont.
Use of Tables.
Interpolation
Interpolation
Angle Corresponding to a Given Function
Summary - od164070073
Table 8. Trigonometric Table.
Solution of Right Triangles
Figure 18. Find Angle "B" And Sides "A" And "B"
Figure 19. Find Angle B And Sides "B" And "C."
Figure 20. Find Angle B and Sides "A" And "C"
Figure 21. Find Angles A and B, and Side "B"
Special Right Triangles
Figure 23. Functions of A 45,, Angle.
Derivation of the 30,, - 60,, Triangle Relationship.
Figure 24. Relationships Between 30, and 60 ,,Angles.
Table 11. Trigonometric Tables
Practical Applications
General Procedure for Solving Problems in Trigonometry
Figure 25. Layout Of Plug Inserted in Opening
Figure 26. Find The Dimension Of "X."
Law of Sines
Law of Sines - Continued
Figure 27. Solve Using The Laws of Sine , Cosine And Tangent.
The Terms In Equations Presented In A Above Can be Rearranged In the Form
The Terms In Equations Presented In A Above Can be Rearranged In the Form - Continued
Law of Cosines
Law of Cosines - Continued - od164070095
Law of Cosines - Continued - od164070096
Law of Cosines - Continued - od164070097
Law of Tangents
Area of Triangles
Conclusion - od164070100
Conclusion - Continued - od164070101
Practical Exercise 2 - od164070102
Requirement - od164070103
Figure 29. Gear Train
Figure 30. Find The Distance "X"
Table 12. Trigonometric Tables.
Lesson 2. Practical Exercise- Answers - od164070107
Lesson 2. Practical Exercise- Answers cont. - od164070108
References - od164070109
References - od164070110
Task 1. Describe the Processes for Adding, Subtracting, Multiplying, and Dividing Fractions.
Figure 1. Place Value of Whole Numbers
Subtraction.
Multiplication.
Common Fractions
Figure 2. Fractional Parts of A Unit
Improper Fraction.
Figure 4. 1/4 Is Larger Than 1/6.
Reducing Fractions
Changing to a Given Denominator.
Changing an Improper Fraction to a Whole or Mixed Number.
Reducing a Fraction to its Lowest Terms.
Finding the Least Common Denominator of A Group of Fractions Having Different Denominators.
Addition
Subtraction - od164070023
Subtracting Mixed Numbers.
Multiplication
Shop Work Problems.
Division - od164070027
Complex Fractions
Conclusion - od164070029
Task 2. Describe the Processes for Converting Fractions to Decimals and Decimals to Fractions
Definition of Terms
Reduction of a Common Fraction to a Decimal Fraction
Reduction of a Decimal Fraction to a Common Fraction
Table 1. Decimal Equivalent of Some Common Fractions.
Subtraction - od164070035
Division - od164070036
Accuracy
Conclusion - od164070038
Practical Exercise 1. - od164070039
Practical Exercise 1. - Continued
Lesson 1. Practical Exercise -Answers
Task 1. Describe the Process for Converting Linear Measurements from the English to the Metric System
Table 2. English System Linear Measurements
Table 4. Linear Measurements Equivalent Values.
Table 5. Decimal And Metric Equivalents of Fractions of an Inch.
Converting From the English System to the Metric System.
Converting From the English System to the Metric System. - Continued - od164070047
Converting From the English System to the Metric System. - Continued - od164070048
Task 2. Describe the Processes for Solving Problems Using Ratio and Proportion.
Ratio and Proportion
Proportion
Inverse Proportion.
Pulley Trains and Gear Trains
Figure 8. Pulleys
Figure 9. Pulley Train
Worm and Worm Gearing
Task 3. Describe the Processes for solving Problems Using Trigonometry.
Trigonometric Functions
Figure 12. Sides in Referernce to Angle "A."
Trigonometric Functions - Continued
Figure 13. Value of An Angle in Terms Of the Sides
Procedure for using these Rules.
Figure 14. Find the Side Opposite Angle "A."
Calculations with Angles
Calculations with Angles - Continued
Trigonometric Tables
Table 6. Trigonomertic Tables
Table 7. Trigonometric Tables Cont.
Use of Tables.
Interpolation
Interpolation
Angle Corresponding to a Given Function
Summary - od164070073
Table 8. Trigonometric Table.
Solution of Right Triangles
Figure 18. Find Angle "B" And Sides "A" And "B"
Figure 19. Find Angle B And Sides "B" And "C."
Figure 20. Find Angle B and Sides "A" And "C"
Figure 21. Find Angles A and B, and Side "B"
Special Right Triangles
Figure 23. Functions of A 45,, Angle.
Derivation of the 30,, - 60,, Triangle Relationship.
Figure 24. Relationships Between 30, and 60 ,,Angles.
Table 11. Trigonometric Tables
Practical Applications
General Procedure for Solving Problems in Trigonometry
Figure 25. Layout Of Plug Inserted in Opening
Figure 26. Find The Dimension Of "X."
Law of Sines
Law of Sines - Continued
Figure 27. Solve Using The Laws of Sine , Cosine And Tangent.
The Terms In Equations Presented In A Above Can be Rearranged In the Form
The Terms In Equations Presented In A Above Can be Rearranged In the Form - Continued
Law of Cosines
Law of Cosines - Continued - od164070095
Law of Cosines - Continued - od164070096
Law of Cosines - Continued - od164070097
Law of Tangents
Area of Triangles
Conclusion - od164070100
Conclusion - Continued - od164070101
Practical Exercise 2 - od164070102
Requirement - od164070103
Figure 29. Gear Train
Figure 30. Find The Distance "X"
Table 12. Trigonometric Tables.
Lesson 2. Practical Exercise- Answers - od164070107
Lesson 2. Practical Exercise- Answers cont. - od164070108
References - od164070109
References - od164070110
