(a) A cylindrical roller is in contact at its top and bottom, with two conveyor belts AB and CD as shown in Fig. 6. Determine the angular velocity of the roller.

Explanation

The angular velocity of the roller is calculated using the given formulas. The values of r and N are used to calculate the linear velocity of the roller and the angular velocity of the conveyor belts. Since the roller is in contact with the conveyor belts, the linear velocity of the roller is equal to the linear velocity of the conveyor belts, and the angular velocity of the roller is equal to the angular velocity of the conveyor belts.


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