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When NASA accelerates a man strapped into a sled along a LINEAR track,
the man's face is squished inward (toward the rear). But in this linear
case we don't seem to be tempted to ascribe these effects to a newly
named force.
These strains are the effect of stresses arising from the
transmission of forces among the parts of an accelerating body - the
centrifugal effect is no different and should not be treated differently.
I would speak of a centrifugal effect, not of a centrifugal force
(within the context of Newtonian mechanics).
(Sorry, but I was quiet the last time this can of worms was opened!)