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Consider the following statements:
1. A stub tooth has a 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 the statements given above is/are correct?
- a)Only 1
- b)Only 2
- c)Both 1 and 2
- d)Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statements: 1. A stub tooth has a working d...
1. A stub tooth has a working depth lower than that of a full-depth tooth.
2. The path of contact for involute gears is a line.
Most Upvoted Answer
Consider the following statements: 1. A stub tooth has a working d...
Statement 1: A stub tooth has a working depth larger than that of a full-depth tooth.
A stub tooth is a type of gear tooth that has a shorter working depth compared to a full-depth tooth. The working depth of a gear tooth refers to the length of the tooth from the tip to the root. In a stub tooth, the depth of the tooth is reduced to provide space for a larger fillet radius at the base of the tooth. This larger fillet radius helps to reduce stress concentrations and improve the strength of the tooth.
On the other hand, a full-depth tooth has a longer working depth, which means that the tooth extends deeper into the gear. This type of tooth is commonly used in gears that require higher load-carrying capacity and durability. The longer working depth allows for a larger contact area between the mating gears, resulting in better load distribution and reduced tooth stresses.
Therefore, statement 1 is incorrect. A stub tooth has a shorter working depth, not a larger one.
Statement 2: The path of contact for involute gears is an arc of a circle.
Involutes gears are a common type of gear used in mechanical systems. The involute profile is a shape that allows for smooth and gradual meshing of gear teeth, resulting in efficient power transmission and reduced wear.
The path of contact for involute gears is not an arc of a circle, but rather a straight line. When involute gears mesh, the contact starts at a single point on the gear teeth and gradually progresses along a straight line as the gears rotate. This straight line is called the line of action or the path of contact.
The line of action is perpendicular to the tangent at the point of contact between the gear teeth. It passes through the pitch point, which is the point of tangency between the two base circles of the gears. The line of action remains constant throughout the meshing process and determines the relative motion between the gears.
Therefore, statement 2 is also incorrect. The path of contact for involute gears is a straight line, not an arc of a circle.
Conclusion:
Both statement 1 and statement 2 are incorrect. A stub tooth has a shorter working depth, not a larger one, and the path of contact for involute gears is a straight line, not an arc of a circle.
A stub tooth is a type of gear tooth that has a shorter working depth compared to a full-depth tooth. The working depth of a gear tooth refers to the length of the tooth from the tip to the root. In a stub tooth, the depth of the tooth is reduced to provide space for a larger fillet radius at the base of the tooth. This larger fillet radius helps to reduce stress concentrations and improve the strength of the tooth.
On the other hand, a full-depth tooth has a longer working depth, which means that the tooth extends deeper into the gear. This type of tooth is commonly used in gears that require higher load-carrying capacity and durability. The longer working depth allows for a larger contact area between the mating gears, resulting in better load distribution and reduced tooth stresses.
Therefore, statement 1 is incorrect. A stub tooth has a shorter working depth, not a larger one.
Statement 2: The path of contact for involute gears is an arc of a circle.
Involutes gears are a common type of gear used in mechanical systems. The involute profile is a shape that allows for smooth and gradual meshing of gear teeth, resulting in efficient power transmission and reduced wear.
The path of contact for involute gears is not an arc of a circle, but rather a straight line. When involute gears mesh, the contact starts at a single point on the gear teeth and gradually progresses along a straight line as the gears rotate. This straight line is called the line of action or the path of contact.
The line of action is perpendicular to the tangent at the point of contact between the gear teeth. It passes through the pitch point, which is the point of tangency between the two base circles of the gears. The line of action remains constant throughout the meshing process and determines the relative motion between the gears.
Therefore, statement 2 is also incorrect. The path of contact for involute gears is a straight line, not an arc of a circle.
Conclusion:
Both statement 1 and statement 2 are incorrect. A stub tooth has a shorter working depth, not a larger one, and the path of contact for involute gears is a straight line, not an arc of a circle.
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Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?.
Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements: 1. A stub tooth has a 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 the statements given above is/are correct?a)Only 1 b)Only 2 c)Both 1 and 2 d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?.
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