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# Illustration Centripetal force and angular velocity during a uniform circular motion

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Centripetal force $$\boldsymbol{F}_{\text z}$$ acts on a body of mass $$m$$, which is in a uniform circular motion. The centripetal force is always perpendicular to the angular velocity $$\boldsymbol{\omega}$$. And the angular velocity $$\boldsymbol{\omega}$$ is perpendicular to the circular path with the radius $$r$$.