
(a)
The pitch diameter of the spur gear.

Answer to Problem 64A
The pitch diameter is 60 mm.
Explanation of Solution
Given:
Module (m) = 3.75mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The pitch diameter is 60 mm.
(b)
The circular pitch of the spur gear.

Answer to Problem 64A
The circular pitch is 11.781 mm.
Explanation of Solution
Given:
Module (m) = 3.75 mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The circular pitch is 11.781 mm.
(c)
The outside diameter of the spur gear.

Answer to Problem 64A
The outside diameter is 67.5 mm.
Explanation of Solution
Given:
Module (m) = 3.75 mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The outside diameter is 67.5 mm.
(d)
The addendum of the spur gear.

Answer to Problem 64A
The addendum is 3.75 mm.
Explanation of Solution
Given:
Module (m) = 3.75 mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The addendum is 3.75 mm.
(e)
The working depth of the spur gear.

Answer to Problem 64A
The working depth is 7.518 mm.
Explanation of Solution
Given:
Module (m) = 3.75 mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The working depth is 7.518 mm.
(f)
The tooth thickness of the spur gear.

Answer to Problem 64A
The thickness of the tooth is 5.9 mm.
Explanation of Solution
Given:
Module (m) = 3.75 mm
Number of teeth = 16
Concept Used:
Calculation:
Conclusion:
The thickness of the tooth is 5.9 mm.
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Chapter 48 Solutions
Mathematics For Machine Technology
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- Consider a simplified version of American football where on any possession ateam can earn 0, 3 or 7 points. What is the smallest number n0 of points such that for all n ≥ n0 and n ∈ Na team could earn n points. You must prove that your answer is correct via induction (HINT: Don’t forgetto show that n0 is the smallest number above which any number of points is reachable).arrow_forwardConsider a vocabulary consisting of the nucleotide bases V = {A, T, G, C}.Construct a DFA to recognize strings which end in AAGT .(a) Draw the DFA with clear markings of all states including start and acceptance state(s).(b) Simulate the DFA to show that string T GAAGT will be accepted by the DFA.(c) Simulate the DFA to show that string T AAGT G will not be accepted by the DFA.arrow_forwardA palindrome is a string that reads the same backward as it does forward. For example, abaaaba is a palindrome. Suppose that we need to define a language that generates palindromes.(a) Define a phase structure grammar that generates the set of all palindromes over the alphabet {a, b}clearly describing the recursive rules that generates palindromes. Use the notation Symbol → rule. Theempty set is denoted by λ. Clearly identify the terminal and non-terminal symbols in your grammar.(b) Show that the palindrome abaaaba can be recognized by your grammar. To show this, show all stepsof parsing the expression abaaaba using the rules you defined above.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL

