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Illustration Centripetal force and angular velocity during a uniform circular motion

Centripetal force perpendicular to angular velocity
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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 \( r \).