1. Krusty the Clown and Sideshow Bob have covered themselves in velcro, and shot themselves out of a large cannon so that they stick to a huge rotating velcro wheel (don't try this at home). Krusty is now stuck to a point 3.00 m from the center of the wheel while Bob is stuck to another point 5.00 m from the center. The wheel is initially rotating counterclockwise at 10.0 rpm. Conveniently a set of axes is suspended just in front the wheel (Krusty asked for axes, like the ones you would use to chop wood, so that he and Bob could chase each other with them in the usual wholesome entertainment he is known for. Unfortunately, the set designer misunderstood.) The axes do not rotate with the wheel.
(a) Find Krusty's and Bob's angular velocities, in radians per second.
(b) Find Krusty's and Bob's tangential velocities.
(c) Find Krusty's and Bob's accelerations.
(d) At t = 0 the wheel starts to speed up at a uniform rate. Over 10.0 s it goes from rotating at 10.0 rpm to rotating at 20.0 rpm. Graph the angular velocity vs. time for the wheel during this time, complete with scales on the axes.
(e) At t = 5.00 s Krusty is passing the x-axis. Find his total acceleration vector at this instant.