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Consider the following statements:
1. A stub both has working depth larger than that of a full depth tooth.
2. The path of contact for involute gears is an arc of a circle.
Which of these statements is/are correct?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 and 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statements:1. A stub both has working depth lar...
1. A stub tooth has working depth smaller than that of a full depth tooth.
2. The path of contact for involute gears is a straight line.
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Most Upvoted Answer
Consider the following statements:1. A stub both has working depth lar...
Statement 1: A stub both has working depth larger than that of a full depth tooth.
The working depth of a gear tooth is the distance from the top of the tooth to the bottom of the tooth space. In a full depth tooth, the working depth is equal to the addendum, which is the distance from the pitch circle to the top of the tooth.

In a stub tooth, the working depth is larger than that of a full depth tooth. This means that the bottom of the tooth space is deeper compared to a full depth tooth.

This statement is incorrect.

Statement 2: The path of contact for involute gears is an arc of a circle.
The path of contact refers to the contact area between the gear teeth as they mesh with each other. In involute gears, the path of contact is not an arc of a circle, but a straight line.

The involute profile is a shape that allows the gears to maintain a constant speed ratio as they rotate. The teeth of involute gears are designed in such a way that the point of contact between the teeth moves along a straight line, known as the path of contact. This straight line is tangent to both base circles of the gears.

This statement is incorrect.

Conclusion:
Both statements 1 and 2 are incorrect. Therefore, the correct answer is option D - Neither 1 nor 2.
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Consider the following statements:1. A stub both has working depth larger than that of a full depth tooth.2. The path of contact for involute gears is an arc of a circle.Which of these statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 and 2Correct answer is option 'D'. Can you explain this answer?
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