Vehicles arrive at a single toll booth beginning at 7:00 A. M. at a rate of 8 veh/min. Service also starts at 7:00 A. M. at a rate of μ(t) = 6 + 0.2t where μ(t) is in vehicles per minute and t is in minutes after 7:00 A. M. Assuming D/D/1 queuing, determine when the queue will clear, the total delay, and the maximum queue length in vehicles.

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?