It is standard pedagogy in our educational system to teach centrifugal force is a fictitious force, a force that arises within a non-inertial, rotating reference frame. High school students, for example, are brainwashed in believing this. Brainwashed because it perpetuates a false dogma about the nature of inertia. It is a myth and should be eliminated from the curriculum of our school system. Why do I say this? Hello, has anyone heard of Albert Einstein? Back in the last century he formulated the theory of special relativity. He made this profound observation: the laws of nature are the same for all inertial reference frames. He believed in a universe, where no matter what inertial frame you were in, the laws would be invariant. They would be the same for everyone. Pretty deep stuff. But then, years later, he took it to the next level, and proposed a theory of general relativity. In this theory he postulated that the laws of nature would be the same for any type of reference frame, inertial or non-inertial-- an even deeper insight. Thus, no matter what frame you measured phenomenona in, what you see is what you get. Labeling a force as "fictitious" is silly and meaningless. What does "fictitious" mean? What does real mean? Fictitious is a label that is used for convenience in analyzing the dynamics of bodies in non-inertial frames, the problem is, people start "really" believing they are fictitious. If you stand on a spinning stool that is spinning fast enough, your arms could be pulled out of your sockets. Hmmm, was this due to a fictitious force or a real force? Did you have a fictitious injury? Did you pay a fictitious doctor bill to have your arms popped back into your sockets? Fictitious is an arbitrary convenience placed by classical theorists before Einstein's time because frankly, they really did not have a clue what caused inertia. Einstein had a good definition of force. It went something like this: Any force that you can feel is a real force. It doesn't matter what type of frame you feel or observe the action of this force, inertial or non-inertial, the force is real. Labeling it as fictitious because you are in a rotating system is violating the principle of general relativity. You are implying that only forces observed in an inertial reference frame are real forces. You are therefore, implying that the laws of physics are only real when observed in inertial frames, and that inertial frames have a preferred status over non-inertial frames-- a blatant violation of the theory of general relativity. Look at it this way. From the theory of general relativity, using the geodesic equation, one can predict the path of a body in "free fall" in inertial space. Any departure of the body from this natural path would result in a manifestation of inertial force-- not a fictitious inertial force-- a force that arises out of a deviation from a geodesic path. Centrifugal forces are real no matter which frame you observe the forces from. This can be demonstrated by empirical means. For example, through the action of an inertial centrifugal force acting on a rotating body which rotates around an axis not through its center of mass, the inertial centrifugal force can do work on a system to increase the speed and kinetic energy of the center of mass of a system with respect to an inertial reference frame. This experiment has been done and the observational facts have confirmed this. Only a real force can increase the speed of the center of mass of a system with respect to an inertial frame.