Consider the following problem where evil Dr. Evil is controlling the centrifuge that Austin Powers happens to be on. Once again, recalling the idea presented in class on the construction of

a problem suitable for solution in MATLAB, given a physical description, formulate a MATLAB simulation do the following: a. Assuming a centrifuge radius arm of 100 m length, compute the centrepitcal acceleration Austin experiences for a tangential velocity from 0 m/s to 100 m/s. Use an appropriate speed step of your choosing. b. Plot this acceleration, normalized to g's, versus tangential velocity. c Add an appropriate title and axis labels, it's ok to be creative. Add a grid as well. d.If Austin passes out at 8 g, what is the maximum tangential velocity just before he passes out.