Question 1186511
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(a)  The angular velocity is  w = {{{(12*(2pi))/14}}} = {{{(12*(2*3.14))/14}}} = 5.383 radians per second.


    +-----------------------------------------------------------------+
    |    You take the full rotation angle  {{{12*(2*pi)}}}  radians         |
    |    of 12 rotations, and divide it by the time of 14 seconds.    |
    +-----------------------------------------------------------------+



(b)  The distance = w*R = 5.383 * 0.35 = 1.884 m/s.


     +----------------------------------------------------------------+
     |   You take the angular velocity and multiply it by the radius. |
     +----------------------------------------------------------------+
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Solved and carefully/thoroughly explained.