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Let w1 is the angular speed of the point on circle and w2 is the angular speed of centre.
Let, O be a point on a circle and P be the position of the particle at any time t, such that ∠POA=θ
Then ∠PCA=2θ
Here in the figure, C is the centre of the circle. Angular velocity of P about O is w2=dθ/dt and the angular velocity of P about C is
w1=d(2θ)/dt=2(dθ/dt)
=>w1=2(w2)