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In a Belt drive, if the pulley diameter is doubled keeping the tension and belt width constant, then it will be necessary to   
  • a)
    Increase the key length  
  • b)
    increase the key depth  
  • c)
    Increase the key width  
  • d)
    decrease the key length 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a Belt drive, if the pulley diameter is doubled keeping the tension...
Due to twice increase in diameter of pulley, torque on key is double and has to be resisted by key width. Length can't be increased as belt width is same. 
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Most Upvoted Answer
In a Belt drive, if the pulley diameter is doubled keeping the tension...
Explanation:

When the pulley diameter is doubled, the belt will have to travel a longer distance to complete one revolution. In order to maintain the same tension, the belt will have to be stretched more. This means that the belt will become tighter and the key will experience more pressure. To ensure that the key does not fail, it will be necessary to increase its width.

Reasons for selecting option 'C':

The correct answer is option 'C' (Increase the key width) because:

1. The key is a small, rectangular metal piece that fits into a slot in the pulley and the shaft to prevent relative motion between them.

2. The key is subjected to shear stresses due to the torque transmitted through it.

3. When the pulley diameter is doubled, the belt will have to travel a longer distance to complete one revolution. This means that the belt will become tighter and the key will experience more pressure.

4. If the key width is not increased, it may fail due to excessive shear stresses.

5. Increasing the key length or depth will not help because the key is designed to fit into a specific slot size and changing its dimensions will not ensure proper fit.

Conclusion:

In conclusion, when the pulley diameter is doubled in a belt drive, it will be necessary to increase the key width to ensure that it can withstand the increased pressure and prevent failure.
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