Establish the relation: V= wr V= linear speed ,wr = angular speed, r = radius of the circular path.
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Solution
You're moving in a circle of radius r, so the distance you travel in one full trip round the circle is 2.pi.r and you're doing it in one time period, T
speed, v = distance/time = 2.pi.r/T
w = angular speed, and you complete 2 pi radians in time T, so w = 2pi/T