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Question #4: The angular velocity of a gear is controlled according to @= 12 - 31 where w, in radians per second, is positive

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Question #4: The angular velocity of a gear is controlled according to @= 12 - 31 where w, in radians per second, is positive in the clockwise sense and where t is the time in seconds. Find the net angular displacement A from the time = 0 to 3 s. Also find the total number of revolutions N through which the gear turns during the 3 seconds.

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