Theory of Machine
Crowning on pulleys helps

In decreasing the slip of the belt
In increasing velocity ratio
For automatic adjustment of belt position so that belt runs centrally
Increase belt and pulley life

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Theory of Machine
The maximum fluctuation of speed is the

Difference of minimum fluctuation of speed and the mean speed
Difference of the maximum and minimum speeds
Sum of maximum and minimum speeds
Variations of speed above and below the mean resisting torque line

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