rcgldr said:
In a rotating frame of reference, a fictitious force can be sensed, such as standing on a scale to measure weight while in an rotating space station (or noting the rate of acceleration in what appears to be free fall). What is actually an inertial force appears to be a real force from the rotating (or any accelerating) frame of reference.
The scale in that rotating space station is measuring a real force, not a fictitious one. It is measuring the normal force, which is an electromagnetic phenomenon. The direction of that force is toward, not away from, the axis of rotation. It is a centripetal force.
To an inertial observer, the person standing on the scale is subject to that one force, and nothing else. That one force makes the person undergo circular motion. To an observer fixed with respect to the rotating space station, the person standing on the scale is not moving. Yet the scale is registering a non-zero force, pointing inward. The fictitious centrifugal force (directed outward) arises from insisting that Newton's laws apply in this frame. The net force on the person must be zero since the person on the scale is not moving. We know there is one force present; it is the force being registered by the scale. There must be some other force, directed outward, that is counterbalancing this inward force. That outward force is the fictitious centrifugal force.
This force cannot be sensed by a scale or by any other local experiment. No fictitious force can. They are a figment of the observer's imagination -- but they are very useful at times. Accurately modeling the Earth's atmosphere is essential for forecasting hurricanes and other foul weather. Doing that from the perspective of an Earth-fixed frame (a rotating frame) requires the use of fictitious forces. This is a tough but doable task. Modeling the Earth's atmosphere from the perspective of an inertial frame is a fool's errand.
Then why did physicists decide to change the meaning of an existing (ancient) term instead of creating a new one? The argument here is with several English dictionaries and the wiki article.
The sense of a fictitious force is the older meaning. It certainly meant that to Newton when he explained why gravity is apparently reduced at the equator. The full development of the physics of non-inertial frames came 100 years or more after Newton. Somewhere along the line that reactive centrifugal force nonsense was added to the mix.
Most physics texts do not teach that nonsense. Dictionaries are not scientific references, and neither is wikipedia. That particular wiki article exemplifies why wikipedia should not be used as a scientific reference.