At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise.  It begins accelerating counterclockwise at 11 rad/s2 until its angular speed is doubled, then the angular acceleration is reversed until the wheel comes to a stop.  How many times does the wheel spin (measured in number of rotations) between t = 0 and when the wheel comes to rest?

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At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise.  It begins accelerating counterclockwise at 11 rad/s2 until its angular speed is doubled, then the angular acceleration is reversed until the wheel comes to a stop.  How many times does the wheel spin (measured in number of rotations) between t = 0 and when the wheel comes to rest?

(Please answer to the fourth decimal place - i.e 14.3225)

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