Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
bartleby

Videos

Question
Book Icon
Chapter 48, Problem 61A
To determine

(a)

The pitch diameter of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The pitch diameter is 117 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  module=pitchdiameternumberofteeth

Calculation:

  module(m)=pitchdiameter(D)numberofteeth(N)pitchdiameter=mNpitchdiameter=18×6.5mmpitchdiameter=117mm

Conclusion:

The pitch diameter is 117 mm.

To determine

(b)

The circular pitch of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The circular pitch is 20.4204 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  Forspurgear,Circularpitch(PC)=3.1416×Pitchdiameter(D)Numberofteeth(N)

Calculation:

  Forspurgear,Circularpitch(PC)=3.1416DNPC=3.1416×11718PC=20.4204mm

Conclusion:

The circular pitch is 20.4204 mm.

To determine

(c)

The outside diameter of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The outside diameter is 130 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  Pitch(P)=Numberofteeth(N)Pitchdiameter(D)Outsidediameter(Do)=N+2P

Calculation:

  Pitch(P)=Numberofteeth(N)Pitchdiameter(D)P=18117P=0.1538Outsidediameter(Do)=N+2PDo=18+20.1538Do=130mm

Conclusion:

The outside diameter is 130 mm.

To determine

(d)

The addendum of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The addendum is 6.5 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  addendum=0.3183×Circularpitch(PC)

Calculation:

  addendum(a)=0.3183PCa=0.3183×20.4204mma=6.5mm

Conclusion:

The addendum is 6.5 mm.

To determine

(e)

The working depth of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The working depth is 13 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  Foraspurgear,Workingdepth(WD)=2.000Pitchofthegear(P)

Calculation:

  Foraspurgear,Workingdepth(WD)=2.000Pitchofthegear(P)WD=20.1538WD=13mm

Conclusion:

The working depth is 13 mm.

To determine

(f)

The tooth thickness of the spur gear.

Expert Solution
Check Mark

Answer to Problem 61A

The thickness of the tooth is 10.21 mm.

Explanation of Solution

Given:

Module (m) = 6.5mm

Number of teeth = 18

Concept Used:

  Foraspurgear,Thicknessofatooth(T)=1.5708Pitchofthegear(P)

Calculation:

  Foraspurgear,Thicknessofatooth(T)=1.5708Pitchofthegear(P)T=1.57080.1538T=10.21mm

Conclusion:

The thickness of the tooth is 10.21 mm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
iii) i=5 x² = Σ i=1 (Yi — mi)² σ 2 By minimising oc², derive the formulae for the best values of the model for a 1 degree polynomial (2 parameters).
Refer to page 311 for a sequence of functions defined on a given interval. Instructions: • Analyze whether the sequence converges pointwise and/or uniformly on the given interval. • Discuss the implications of uniform convergence for integration and differentiation of the sequence. • Provide counterexamples if any condition fails. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qo Hazb9tC440 AZF/view?usp=sharing]
Refer to page 310 for a matrix and its associated system of differential equations. Instructions: • Find the eigenvalues of the given matrix and classify the stability of the system (e.g., stable, • unstable, saddle point). Discuss the geometric interpretation of eigenvalues in the context of system behavior. • Provide conditions under which the system exhibits periodic solutions. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]

Chapter 48 Solutions

Mathematics For Machine Technology

Knowledge Booster
Background pattern image
Advanced Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
12. Searching and Sorting; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=6LOwPhPDwVc;License: Standard YouTube License, CC-BY
Algorithms and Data Structures - Full Course for Beginners from Treehouse; Author: freeCodeCamp.org;https://www.youtube.com/watch?v=8hly31xKli0;License: Standard Youtube License