The elevator system shown (Figure P10–18) has a car weight of 800 lb and carries passengers weighing 2500 lb. The counterbalance weight is 2000 lb. There are 3 cables connecting the car to the...

The elevator system shown (Figure P10–18) has a car weight of 800 lb and carries passengers weighing 2500 lb. The counterbalance weight is 2000 lb. There are 3 cables connecting the car to the counterweights. The system is designed to reach a maximum speed of 450 ft/min. with equal acceleration and deceleration rates of 2.5 ft/s2 . The distance between floors is 12 ft but maximum speed is not reached when moving only one floor, as the car accelerates in the first 6 ft and decelerates in the final 6 ft. (a) Determine the time to travel between floors and the maximum speed reached. (b) What is the total time to go from the third floor to the seventh floor if there are no stops at other floors?