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3. Rotor (6 points) The Rotor is an amusement park ride consisting of a large, vertical cylinder with radius R- 2.5 m. A rider stands on the inside wall, and the cylinder begins rotating. When the angular velocity is high enough, the floor is lowered but, due to static friction, the rider does not slide down the wall. Suppose the Rotor is spinning with an angular velocity of 4 rad/s. (a) (2 points) How much time does it take for the rider to make one revolution? (b) (2 points) What is the riders acceleration? (Be sure to indicate both the magnitude and direction) (c) (2 points) What is the force which produces this acceleration? (Clearly indicate what is exerting this force.) (d) (extra credit - 4 points) If the coefficient of static friction between the rider and the wall is 0.7, what is the minimum angular velocity required such that the rider does not slide down the wall?
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