EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 46, Problem 53A
To determine

(a)

To perform the mathematical operation on formula (1) for Do as indicated.

Expert Solution
Check Mark

Answer to Problem 53A

The formula (1) that is FW=Do2D2 can be solved for Do as Do=( FW)2+D2.

Explanation of Solution

Given information:

Given that, the dimensions shown in the figure can be found using these two formulas.

  (1.)FW=Do2D2(2.)Do=2Cd+2a

  EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 46, Problem 53A , additional homework tip  1

Calculation:

We have been given the formula, (1.)FW=Do2D2and(2.)Do=2Cd+2a to determine the dimensions shown in the figure

We need to solve the formula (1) for Do.

Formula (1) states that,

  FW=Do2D2

Taking square of both sides, we get

  (FW)2=Do2D2

Adding D2 on both sides, we get

  (FW)2+D2=Do2

Taking square root of both sides, we get

  Do=( FW)2+D2

Hence, the formula (1) that is FW=Do2D2 can be solved for Do as Do=( FW)2+D2.

To determine

(b)

To solve formula (1) for D.

Expert Solution
Check Mark

Answer to Problem 53A

The formula (1) that is FW=Do2D2 can be solved for D as D=( FW)2+Do2.

Explanation of Solution

Given information:

Given that, the dimensions shown in the figure can be found using these two formulas.

  (1.)FW=Do2D2(2.)Do=2Cd+2a

  EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 46, Problem 53A , additional homework tip  2

Calculation:

We have been given the formula, (1.)FW=Do2D2and(2.)Do=2Cd+2a to determine the dimensions shown in the figure

We need to solve the formula (1) for D.

Formula (1) states that,

  FW=Do2D2

Taking square of both sides, we get

  (FW)2=Do2D2

Adding Do2 on both sides, we get

  (FW)2+Do2=D2

Taking square root of both sides, we get

  D=( FW)2+Do2

Hence, the formula (1) that is FW=Do2D2 can be solved for D as D=( FW)2+Do2.

To determine

(c)

To perform the mathematical operation on formula (2) for d.

Expert Solution
Check Mark

Answer to Problem 53A

The formula (2) that is Do=2Cd+2a can be solved for d as d=2a+2CDo.

Explanation of Solution

Given that, the dimensions shown in the figure can be found using these two formulas.

  (1.)FW=Do2D2(2.)Do=2Cd+2a

  EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 46, Problem 53A , additional homework tip  3

Calculation:

We have been given the formula, (1.)FW=Do2D2and(2.)Do=2Cd+2a to determine the dimensions shown in the figure

We need to solve the formula (2) for d.

Formula (2) states that,

  Do=2Cd+2a

Adding d on both sides, we get

  Do+d=2C+2a

Subtracting Do on both sides, we get

  d=2C+2aDo

Hence, the formula (2) that is Do=2Cd+2a can be solved for d as d=2a+2CDo.

To determine

(d)

To solve formula (2) for a.

Expert Solution
Check Mark

Answer to Problem 53A

The formula (2) that is Do=2Cd+2a can be solved for a as a=Do+d2C2.

Explanation of Solution

Given that, the dimensions shown in the figure can be found using these two formulas.

  (1.)FW=Do2D2(2.)Do=2Cd+2a

  EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 46, Problem 53A , additional homework tip  4

Calculation:

We have been given the formula, (1.)FW=Do2D2and(2.)Do=2Cd+2a to determine the dimensions shown in the figure

We need to solve the formula (2) for a.

Formula (2) states that,

  Do=2Cd+2a

Adding d on both sides, we get

  Do+d=2C+2a

Subtracting 2C on both sides, we get

  Do+d2C=2a

Dividing by 2 on both sides, we get

  a=Do+d2C2

Hence, the formula (2) that is Do=2Cd+2a can be solved for a as a=Do+d2C2.

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Chapter 46 Solutions

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

Ch. 46 - Prob. 11ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 13ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 15ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 17ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 25ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 27ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 29ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 33ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - Prob. 35ACh. 46 - Solve for the unknown and check each of the...Ch. 46 - The following formulas are used in the machine...Ch. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 39ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 41ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 43ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 45ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 47ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 49ACh. 46 - The following formulas are used in the machine...Ch. 46 - Prob. 51ACh. 46 - The following formulas are used in machine trade...Ch. 46 - Prob. 53ACh. 46 - The following formulas are used in machine trade...Ch. 46 - Prob. 55ACh. 46 - Prob. 56ACh. 46 - Prob. 57ACh. 46 - The following formulas are used in machine trade...Ch. 46 - Prob. 59ACh. 46 - For applications 60 and 61, rearrange each formula...Ch. 46 - Prob. 61ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 63ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 65ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 67ACh. 46 - Prob. 68ACh. 46 - Prob. 69ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 71ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 73ACh. 46 - Solve for the unknown value in each of the...Ch. 46 - Prob. 75A
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