A car is up on a hydraulic lift at a garage. The wheels are free to rotate, and the drive wheels are rotating with a constant angular velocity. Which one of the following statements is true? (a) A point on the rim has no tangential and no centripetal acceleration. (b) A point on the rim has both a nonzero tangential acceleration and a nonzero centripetal acceleration. (c) A point on the rim has a nonzero tangential acceleration but no centripetal acceleration. (d) A point on the rim has no tangential acceleration but does have a nonzero centripetal acceleration.

THE STRANGE NEW SCIENCE OF CHAOS ● Chaos = errors or deviations from expected results ○ Scientists try to minimize or eliminate it ● Linear system = the output is directly proportional to the input ● Examples of chaotic systems ○ Water bubbling down a stream ○ Smoke rising from a cigarette ○ Water dripping from a tap ○ The weather ○ Our nervous systems ● Chaotic systems are sensitive to initial conditions = a small change in the starting condition leads to a big change in the result ● Weather is hard to predict ○ The turbulent atmosphere cannot be described by simple linear equations ● Attractor = a preferred state towards which a chaotic system may tend ● Turbulence = much of the