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What is the formula of the centripetal force based on angular velocity ?

The centripetal force can be calculated with the following formula:

The previous equation can be generalized in vector form:


  •  is the centripetal force expressed in Newton ()
  •  is the body mass expressed in kilograms ()
  •  is the angular velocity of the body expressed in radians per second ()
  •  is the angular velocity vector
  •  is the radius of the circular path expressed in meters ()
  •  is a radius vector attached to the center of the circular path, in the direction of the body.