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:



Where:

•  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.