Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 20, Problem 18A
To determine

(a)

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form for first condition.

Expert Solution
Check Mark

Answer to Problem 18A

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,83,32,21,43,12and12 respectively.

Explanation of Solution

Given:

Diameters are given in the table below:

  Mathematics For Machine Technology, Chapter 20, Problem 18A , additional homework tip  1

Calculation:

Divide E by F to get the ratio EF as follows:

  EF=8÷6EF=86EF=43

Divide E by G to get the ratio EG as follows:

  EG=8÷4EG=84EG=21

Divide E by H to get the ratio EH as follows:

  EH=8÷3EH=83

Divide F by G to get the ratio FG as follows:

  FG=6÷4FG=64FG=32

Divide F by H to get the ratio FH as follows:

  FH=6÷3FH=63FH=21

Divide G by H to get the ratio GH as follows:

  GH=4÷3GH=43

Divide G by E to get the ratio GE as follows:

  GE=4÷8GE=48GE=12

Divide H by F to get the ratio HF as follows:

  HF=3÷6HF=36HF=12

Thus, the ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,83,32,21,43,12and12 respectively.

Conclusion:

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,83,32,21,43,12and12 respectively.

To determine

(b)

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form for second condition.

Expert Solution
Check Mark

Answer to Problem 18A

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,21,52,85,21,54,12and12 respectively.

Explanation of Solution

Given:

Diameters are given in the table below:

  Mathematics For Machine Technology, Chapter 20, Problem 18A , additional homework tip  2

Calculation:

Divide E by F to get the ratio EF as follows:

  EF=10÷8EF=108EF=54

Divide E by G to get the ratio EG as follows:

  EG=10÷5EG=105EG=21

Divide E by H to get the ratio EH as follows:

  EH=10÷4EH=104EH=52

Divide F by G to get the ratio FG as follows:

  FG=8÷5FG=85

Divide F by H to get the ratio FH as follows:

  FH=8÷4FH=84FH=21

Divide G by H to get the ratio GH as follows:

  GH=5÷4GH=54

Divide G by E to get the ratio GE as follows:

  GE=5÷10GE=510GE=12

Divide H by F to get the ratio HF as follows:

  HF=4÷8HF=48HF=12

Thus, the ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,21,52,85,21,54,12and12 respectively.

Conclusion:

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,21,52,85,21,54,12and12 respectively.

To determine

(c)

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form for third condition.

Expert Solution
Check Mark

Answer to Problem 18A

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,41,32,31,21,12and13 respectively.

Explanation of Solution

Given:

Diameters are given in the table below:

  Mathematics For Machine Technology, Chapter 20, Problem 18A , additional homework tip  3

Calculation:

Divide E by F to get the ratio EF as follows:

  EF=12÷9EF=129EF=43

Divide E by G to get the ratio EG as follows:

  EG=12÷6EG=126EG=21

Divide E by H to get the ratio EH as follows:

  EH=12÷3EH=123EH=41

Divide F by G to get the ratio FG as follows:

  FG=9÷6FG=96FG=32

Divide F by H to get the ratio FH as follows:

  FH=9÷3FH=93FH=31

Divide G by H to get the ratio GH as follows:

  GH=6÷3GH=63GH=21

Divide G by E to get the ratio GE as follows:

  GE=6÷12GE=612GE=12

Divide H by F to get the ratio HF as follows:

  HF=3÷9HF=39HF=13

Thus, the ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,41,32,31,21,12and13 respectively.

Conclusion:

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 43,21,41,32,31,21,12and13 respectively.

To determine

(d)

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form for fourth condition.

Expert Solution
Check Mark

Answer to Problem 18A

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,32,52,65,21,53,23and12 respectively.

Explanation of Solution

Given:

Diameters are given in the table below:

  Mathematics For Machine Technology, Chapter 20, Problem 18A , additional homework tip  4

Calculation:

Divide E by F to get the ratio EF as follows:

  EF=15÷12EF=1512EF=54

Divide E by G to get the ratio EG as follows:

  EG=15÷10EG=1510EG=32

Divide E by H to get the ratio EH as follows:

  EH=15÷6EH=156EH=52

Divide F by G to get the ratio FG as follows:

  FG=12÷10FG=1210FG=65

Divide F by H to get the ratio FH as follows:

  FH=12÷6FH=126FH=21

Divide G by H to get the ratio GH as follows:

  GH=10÷6GH=106GH=53

Divide G by E to get the ratio GE as follows:

  GE=10÷15GE=1015GE=23

Divide H by F to get the ratio HF as follows:

  HF=6÷12HF=612HF=12

Thus, the ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,32,52,65,21,53,23and12 respectively.

Conclusion:

The ratios EF,EG,EH,FG,FH,GH,GEandHF in the lowest form are 54,32,52,65,21,53,23and12 respectively.

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Chapter 20 Solutions

Mathematics For Machine Technology

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