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If an imaginary circle is drawn which- by pure rolling action gives the same motion as the actual gear, what is the circle called?
  • a)
    Addendum circle
  • b)
    Pitch circle
  • c)
    Root circle
  • d)
    Dedendum circle
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If an imaginary circle is drawn which- by pure rolling action gives th...
Pitch Circle: The pitch circle is the curve of intersection of the pitch surface of revolution and the plane of rotation. It is an imaginary circle that rolls without slipping with the pitch circle of a mating gear. The pitch circles of a pair of mating gears are tangent to each other.
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Most Upvoted Answer
If an imaginary circle is drawn which- by pure rolling action gives th...
Pitch Circle

The correct answer is option 'B', the pitch circle.

Explanation:
When two gears are in contact and transmit motion, the circle that represents the motion of the gear is called the pitch circle. It is a theoretical circle that is used to determine the size and characteristics of the gear.

Pure Rolling Action:
Pure rolling action refers to the condition where two gears are in contact and the point of contact between the teeth of the gears have no relative motion. In other words, the gears roll against each other without any sliding or slipping.

Imaginary Circle:
To understand the concept of the pitch circle, it is helpful to imagine a circle that represents the motion of the gear. This imaginary circle is called the pitch circle.

Role of the Pitch Circle:
The pitch circle is crucial in the design and analysis of gears. It helps in determining the size of the gear, which is essential for proper gear meshing and transmission of motion. The pitch circle also helps in calculating important parameters such as the gear ratio, speed ratio, and center distance between gears.

Relation to Actual Gear:
The pitch circle does not physically exist on the gear; it is an imaginary circle that represents the motion of the gear. However, by considering the pitch circle, engineers can design gears that will mesh correctly and transmit motion accurately.

Other Circles:
Although the pitch circle is the most important circle in gear design, there are other circles associated with gears:

- Addendum Circle: The addendum circle represents the outermost point of the gear tooth. It is the circle that is concentric with the pitch circle and touches the tips of the gear teeth.

- Root Circle: The root circle represents the innermost point of the gear tooth. It is the circle that is concentric with the pitch circle and touches the bottom of the gear tooth.

- Dedendum Circle: The dedendum circle represents the distance between the addendum circle and the root circle. It is the circle that is concentric with the pitch circle and defines the depth of the gear tooth.

Conclusion:
In gear design, the pitch circle is an imaginary circle that represents the motion of the gear. It is essential for determining the size and characteristics of the gear, and it plays a significant role in proper gear meshing and transmission of motion.
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If an imaginary circle is drawn which- by pure rolling action gives the same motion as the actual gear, what is the circle called?a)Addendum circleb)Pitch circlec)Root circled)Dedendum circleCorrect answer is option 'B'. Can you explain this answer?
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