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When initially you exert a force $F_i$ to get things going, you're actually exerting a torque $T$ about the centre point of the circle: $$T=F_i R,$$ with $R$ the radius of the circle. According to Newtonian physics, this torque causes an angular acceleration $\dot{\omega}$ as follows: $$F_i R=I\dot{\omega},$$ where $I$ is the Moment of Inertia of the ...