The length L of the point drill with included angle A can be calculated using the formula L = k ϕ where ϕ is the diameter of the drill and k = 1 2 tan ( ° 90 ° − A 2 ) . Determine k for each of the following angles. Round your answer to three decimal places.

Question

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Answer 1

Textbook Question

Chapter 67, Problem 31A

The length L of the point drill with included angle A can be calculated using the formula $L = k ϕ$ where $ϕ$ is the diameter of the drill and $k = 1 2 tan ( ° 90 ° − A 2 ) .$ Determine k for each of the following angles. Round your answer to three decimal places.

Chapter 67, Problem 31A, The length L of the point drill with included angle A can be calculated using the formula L=kwhere

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

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Answer 2

Textbook Question

Chapter 67, Problem 31A

The length L of the point drill with included angle A can be calculated using the formula $L = k ϕ$ where $ϕ$ is the diameter of the drill and $k = 1 2 tan ( ° 90 ° − A 2 ) .$ Determine k for each of the following angles. Round your answer to three decimal places.

Chapter 67, Problem 31A, The length L of the point drill with included angle A can be calculated using the formula L=kwhere

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

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Answer 3

Textbook Question

Chapter 67, Problem 31A

The length L of the point drill with included angle A can be calculated using the formula $L = k ϕ$ where $ϕ$ is the diameter of the drill and $k = 1 2 tan ( ° 90 ° − A 2 ) .$ Determine k for each of the following angles. Round your answer to three decimal places.

Chapter 67, Problem 31A, The length L of the point drill with included angle A can be calculated using the formula L=kwhere

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

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Answer 4

Textbook Question

Chapter 67, Problem 31A

The length L of the point drill with included angle A can be calculated using the formula $L = k ϕ$ where $ϕ$ is the diameter of the drill and $k = 1 2 tan ( ° 90 ° − A 2 ) .$ Determine k for each of the following angles. Round your answer to three decimal places.

Chapter 67, Problem 31A, The length L of the point drill with included angle A can be calculated using the formula L=kwhere

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

Answer 8

Expert Solution

To determine

(a)

Find k for the given angle.

Answer to Problem 31A

$k=0.866$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

(a)

Find k for the given angle.

Answer 13

Answer to Problem 31A

$k=0.866$

Answer 14

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=60∘$

Calculations:

Substituting the value $A=60∘$ in the relation given for k:

$k=12tan( 90∘− 60 ∘ 2)k=12tan( 60∘)=1.7322⇒k=0.866$

Conclusion:

The value of k is 0.866.

Answer 15

Expert Solution

To determine

(b)

Find k for the given angle.

Answer to Problem 31A

$k=0.575$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

(b)

Find k for the given angle.

Answer 20

Answer to Problem 31A

$k=0.575$

Answer 21

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=82∘$

Calculations:

Substituting the value $A=82∘$ in the relation given for k:

$k=12tan( 90∘− 82 ∘ 2)k=12tan( 49∘)=1.1502⇒k=0.575$

Conclusion:

The value of k is 0.575.

Answer 22

Expert Solution

To determine

(c)

Find k for the given angle.

Answer to Problem 31A

$k=0.5$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

(c)

Find k for the given angle.

Answer 27

Answer to Problem 31A

$k=0.5$

Answer 28

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=90∘$

Calculations:

Substituting the value $A=90∘$ in the relation given for k:

$k=12tan( 90∘− 90 ∘ 2)k=12tan( 45∘)=1.0002⇒k=0.500$

Conclusion:

The value of k is 0.500.

Answer 29

Expert Solution

To determine

(d)

Find k for the given angle.

Answer to Problem 31A

$k=0.300$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

(d)

Find k for the given angle.

Answer 34

Answer to Problem 31A

$k=0.300$

Answer 35

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=118∘$

Calculations:

Substituting the value $A=118∘$ in the relation given for k:

$k=12tan( 90∘− 118 ∘ 2)k=12tan( 31∘)=0.6002⇒k=0.300$

Conclusion:

The value of k is 0.300.

Answer 36

Expert Solution

To determine

(e)

Find k for the given angle.

Answer to Problem 31A

$k=0.207$

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

Answer 37

Expert Solution

Answer 38

Expert Solution

Answer 39

Expert Solution

Answer 40

To determine

(e)

Find k for the given angle.

Answer 41

Answer to Problem 31A

$k=0.207$

Answer 42

Explanation of Solution

Given information:

The relation:

$k=12tan(90∘−A2)$

The angle $A=135∘$

Calculations:

Substituting the value $A=135∘$ in the relation given for k:

$k=12tan( 90∘− 135 ∘ 2)k=12tan( 22.5∘)=0.4142⇒k=0.207$

Conclusion:

The value of k is 0.207.

Answer 43

Ch. 67 - Determine the sizes of Aand Bto the nearest...Ch. 67 - Write the cofunction of the complement of the...Ch. 67 - Determine sec 14.8527 rounded to 5 decimal places.Ch. 67 - A steel forging in the shape of a right circular...Ch. 67 - Prob. 5A Ch. 67 - The legs of a right triangle are 718 and 912 ....Ch. 67 - Prob. 7A Ch. 67 - Prob. 8A Ch. 67 - Solve the following exercises. For customary...Ch. 67 - Solve the following exercises. For customary...

The length L of the point drill with included angle A can be calculated using the formula L = k ϕ where ϕ is the diameter of the drill and k = 1 2 tan ( ° 90 ° − A 2 ) . Determine k for each of the following angles. Round your answer to three decimal places.

Solution Summary: The author explains how to find k for the given angle.

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