Problem 8: A disk with an initial angular velocity w0 = 7.5 rad/s experiences a constant angular acceleration of a = 9.6 rad/s2 for a time period t = 65 s, Please answer the following questions. Part (a) Write an expression for the magnitude of the angular velocity of the disk at time t in terms of the given parameters. Part (b) Calculate the magnitude of the angular velocity of the disk in rad/s at time t. Part (c) Write an expression for the magnitude of the angular displacement @ traveled by a point on the disk during the angular acceleration described in terms of the given parameters. Assume the point starts at an angular displacement of 0 radians. Part (d) Calculate the magnitude of the angular displacement in radians traveled by a point on the disk during the acceleration described. Part () Which of the following scenarios would result in the largest angular displacement traveled by a point on the disk, assuming all other properties stayed the same? MultipleChoice : 1) The angular acceleration of the system is doubled. 2) None of the choices would result in a change to the angular distance. 3) All of the choices are the same, 4) The initial angular velocity of the system is doubled. 5) The amount of time the angular acceleration occurred is doubled. 6) No change to the system