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The form factor of a speed gear tooth depend upon the
(1) Number of teeth
(2) Pressure angle
(3) Addendum modification co-efficient
(4) Circular pitch
Which of the above statements are correct
(1) Number of teeth
(2) Pressure angle
(3) Addendum modification co-efficient
(4) Circular pitch
Which of the above statements are correct
- a)1 and 3 only
- b)1,2 and 3
- c)2 and 4
- d)1 and 4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The form factor of a speed gear tooth depend upon the(1) Number of tee...
Form factor is independent of the size of the tooth and depends only on the number of teeth on a gear and the system of teeth.
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Most Upvoted Answer
The form factor of a speed gear tooth depend upon the(1) Number of tee...
Introduction:
The form factor of a speed gear tooth refers to the shape and size of the tooth profile. It plays a crucial role in determining the performance and efficiency of gears. Several factors influence the form factor, and in this question, we need to identify which statements are correct.
Correct Statements:
1. Number of teeth: The number of teeth on a gear affects its form factor. The form factor decreases with an increase in the number of teeth. This is because a gear with more teeth distributes the load over a larger area, reducing the stress concentration on individual teeth. Therefore, statement 1 is correct.
2. Pressure angle: The pressure angle is the angle between the line of action and the common normal to the contacting surfaces of the gear teeth. It affects the form factor because it determines the tooth profile shape and the distribution of load along the tooth. A smaller pressure angle results in a higher form factor, as it reduces the stress concentration on the tooth. Hence, statement 2 is correct.
3. Addendum modification coefficient: The addendum modification coefficient represents the modification of the tooth profile at the addendum region. It influences the form factor by adjusting the shape of the tooth profile to improve the load-carrying capacity and minimize the risk of tooth failure. Therefore, statement 3 is correct.
Incorrect Statement:
4. Circular pitch: The circular pitch is the distance between corresponding points on adjacent teeth measured along the pitch circle. While the circular pitch is an essential parameter in gear design, it does not directly affect the form factor. Hence, statement 4 is incorrect.
In conclusion:
From the given statements, the correct ones are:
1. Number of teeth
2. Pressure angle
3. Addendum modification coefficient
These factors play a significant role in determining the form factor of a speed gear tooth. By considering these parameters during gear design, engineers can optimize the tooth profile for improved performance, load-carrying capacity, and durability.
The form factor of a speed gear tooth refers to the shape and size of the tooth profile. It plays a crucial role in determining the performance and efficiency of gears. Several factors influence the form factor, and in this question, we need to identify which statements are correct.
Correct Statements:
1. Number of teeth: The number of teeth on a gear affects its form factor. The form factor decreases with an increase in the number of teeth. This is because a gear with more teeth distributes the load over a larger area, reducing the stress concentration on individual teeth. Therefore, statement 1 is correct.
2. Pressure angle: The pressure angle is the angle between the line of action and the common normal to the contacting surfaces of the gear teeth. It affects the form factor because it determines the tooth profile shape and the distribution of load along the tooth. A smaller pressure angle results in a higher form factor, as it reduces the stress concentration on the tooth. Hence, statement 2 is correct.
3. Addendum modification coefficient: The addendum modification coefficient represents the modification of the tooth profile at the addendum region. It influences the form factor by adjusting the shape of the tooth profile to improve the load-carrying capacity and minimize the risk of tooth failure. Therefore, statement 3 is correct.
Incorrect Statement:
4. Circular pitch: The circular pitch is the distance between corresponding points on adjacent teeth measured along the pitch circle. While the circular pitch is an essential parameter in gear design, it does not directly affect the form factor. Hence, statement 4 is incorrect.
In conclusion:
From the given statements, the correct ones are:
1. Number of teeth
2. Pressure angle
3. Addendum modification coefficient
These factors play a significant role in determining the form factor of a speed gear tooth. By considering these parameters during gear design, engineers can optimize the tooth profile for improved performance, load-carrying capacity, and durability.
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The form factor of a speed gear tooth depend upon the(1) Number of teeth(2) Pressure angle(3) Addendum modification co-efficient(4) Circular pitchWhich of the above statements are correcta)1 and 3 onlyb) 1,2 and 3c) 2 and 4d)1 and 4Correct answer is option 'B'. Can you explain this answer?
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