Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 46, Problem 51A
To determine

(a)

To perform the mathematical operation as indicated.

Expert Solution
Check Mark

Answer to Problem 51A

The formula (1) that is A=ab can be solved for a as a=Ab.

Explanation of Solution

Given information:

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

  (1.)A=ab(2.)d=a2+b2

  Mathematics For Machine Technology, Chapter 46, Problem 51A , additional homework tip  1

Calculation:

We have been given the formula, (1.)A=aband(2.)d=a2+b2 to determine the dimensions shown in the figure

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

Formula (1) states that,

  A=ab

Dividing by b on both sides, we get

  a=Ab

Hence, the formula (1) that is A=ab can be solved for a as a=Ab.

To determine

(b)

To solve formula (1) for b.

Expert Solution
Check Mark

Answer to Problem 51A

  b=Aa

Explanation of Solution

Given information:

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

  (1.)A=ab(2.)d=a2+b2

  Mathematics For Machine Technology, Chapter 46, Problem 51A , additional homework tip  2

Calculation:

We have been given the formula, (1.)A=aband(2.)d=a2+b2 to determine the dimensions shown in the figure.

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

Formula (1) states that,

  A=ab

Dividing by a on both sides, we get

  b=Aa

Hence, the formula (1) that is A=ab can be solved for b as b=Aa.

To determine

(c)

To perform the mathematical operation on formula (2) for a as indicated.

Expert Solution
Check Mark

Answer to Problem 51A

  a=d2b2.

Explanation of Solution

Given information:

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

  (1.)A=ab(2.)d=a2+b2

  Mathematics For Machine Technology, Chapter 46, Problem 51A , additional homework tip  3

Calculation:

We have been given the formula, (1.)A=aband(2.)d=a2+b2 to determine the dimensions shown in the figure.

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

Formula (2) states that,

  d=a2+b2

Taking square of both sides, we get

  d2=a2+b2

Subtracting b2 on both sides, we get

  d2b2=a2

Taking the square root on both sides, we get

  a=d2b2

Hence, the formula (2) that is d=a2+b2 can be solved for a as a=d2b2.

To determine

(d)

To solve formula (2) for b.

Expert Solution
Check Mark

Answer to Problem 51A

  b=d2a2.

Explanation of Solution

Given information:

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

  (1.)A=ab(2.)d=a2+b2

  Mathematics For Machine Technology, Chapter 46, Problem 51A , additional homework tip  4

Calculation:

We have been given the formula, (1.)A=aband(2.)d=a2+b2 to determine the dimensions shown in the figure.

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

Formula (2) states that,

  d=a2+b2

Taking square of both sides, we get

  d2=a2+b2

Subtracting a2 on both sides, we get

  d2a2=b2

Taking the square root on both sides, we get

  b=d2a2

Hence, the formula (2) that is d=a2+b2 can be solved for b as b=d2a2.

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Chapter 46 Solutions

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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