Work is Force X Distance (has units of energy)
Power is Work / time."
Your formula is wrong when you state that work = force X distance.
One also needs to consider the work force needed to stay in balance when moving in a circular manner. Centripetal force is constantly operating to keep an object in its circular track while traveling at a constant speed - and if the centripetal force is operant, then it is contributing to work (energy) output by preventing the object from flying off its circular path.
Jeff,
The formula is 100% correct. Without exception. This is very basic physics.
The efforts to stay in balance, preventing the object from flying off its circular path etc does not produce work in a Newtonian sense. And they do not produce swing speed either. Even though they are required to perform a golf stroke.