Say you're holding onto a rope and be whirled around horizontally, the rope pulls on you and provides the centripetal acceleration. In your frame of reference, is it by Newton's third law that you feel a pull outwards (the centrifugal force?). So the action is the rope pulling on you, the reaction is you pulling on the rope and it's this pulling on the rope that makes you feel an outward force?
A similar case is if you're sitting in a chair with a back facing inwards on a rotating turntable, the back of the chair pushes on you cause you're pushing on the chair as your body wants to continue in a straight line.
Is it correct to say these two cases are examples of where Newton's laws are NOT violated in a non-inertial frame? If not, please point out my where I went wrong!
Thanks