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Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae):

Radius of rotation is unrelated to angular velocity.

Linear velocity = angular velocity x radius

Centripetal acceleration = velocity squared / radius

Centripetal acceleration = (angular velocity) squared x radius

Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius

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Q: How is the radius of rotation related to the centripetal force and angular velocity?
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