Two roller-supported belt conveyors are used to convey tote boxes of material 250 from the assembly department to the packing department. The first conveyor is 150 long and has a speed of 300 fpm; the second is 100 long and has a speed to be determined.

The tote boxes are 24 in length. Rollers are 2.5 in diameter and are spaced on 10 centers. The WBR dimension is 27 . The design clearance between tote boxes on the first conveyor is 12 . It is reasonable to assume that the weight of consecutive tote boxes on the conveyor is statistically independent. The weight of the loaded tote boxes varies according to the following distribution:

Weight (lb) Percentage 10 10 20 20 30 40 40 20 50 10

a. Tote boxes are conveyed from the 150-long conveyor directly to the 100-long conveyor.

What should be the speed of the second conveyor in order for the spacing between tote boxes to be 6 ?

b. Determine the lightest, average, and heaviest load on the first conveyor.