Centripetal vs. Centrifugal Forces...what the!

I often try to explain things from a physics perspective and in particular when discussing the swing/waltz/walk-around (back spot turn) steps, eventually the words centripetal or centrifugal forces comes into play. Well in fact, it should be strictly centripetal and the best explanation I've found is by Vince Calder:

When the trajectory of an object travels on a closed path about a point -- either circular or elliptical -- it does so because there is a force pulling the object in the direction of that point. That force is defined as the CENTRIPETAL force. It has not been more simply, or directly stated than by one Isaac Newton in his famous "Principia" (definition 5): "A centripetal force is that by which bodies are drawn or impelled, or any way tend, towards a point as to a center."

This force can be demonstrated by twirling a ball on a string, and either actually or conceptually cutting the string. The ball's trajectory is then a straight line tangential to the closed trajectory at the instant the string is cut. This is also illustrated by what happens to the ball in the "hammer throw" of track and field. The athlete spins the heavy ball around several times then lets it fly. It takes off in a straight line (not quite, because the hammer is actually not spun parallel to the ground, but that is not relevant).

That is really all that is necessary. The term CENRTIFUGAL force appears to have come about because of a mistaken perception that there is a force that operates in the opposite direction as the CENTRIPETAL force. But that is a misconception. The "pull" that is felt by the ball on a string or by the hammer thrower is the force that has to be applied toward the center, to keep the ball from flying off tangentially, not radially.

Unfortunately, the terms are often used interchangably, or incorrectly. Newton's term, which I think should take the prize is CENTRIPETAL.

Wikipedia provides more detailed explanations, but these conversations are already too cerebral for salsa purposes as is, without over complicating matters.