"Lawdy's...!" I attempted to read the link from post #1. At about paragraph 18, it starts to begin to commence to almost get around to an answer. Let's try to simplify.
There are many different types of 1Ø motors. Assuming that you are referencing a "split phase" type of motor, with a separate start winding (which gives the motor its direction of rotation), all that is necessary is to reverse the connection relationship between the start and the run windings with respect to line.
By that, meaning: 4 leads at the terminal board: 1&4 are the ends of the "Run" windings, 2&3 are the ends of the "Start" winding. Connecting 1&2 to one side of line, 3&4 to the other produce one direction of rotation. Connecting 1&3 to one side of line, 2&4 to the other produce the opposite direction of rotation.
*IF*, by chance, one end of the start winding is "Center tapped" to the run winding, then simply switching the "free" end between either side of "line-in" will reverse the motor's rotation.
Please finish the question: For what type of 1Ø motor (for what application) are you making the inquiry...?
Yes "Guest" (meaning he or she who did not bother to register or want to be identified even by a spurious pseudonym),
In case you didn't get the gist of that, there are literally dozens of types of
1 phase motor designs. Some can be reversed, some cannot. Of those that can, there are almost as many ways to do it as there are types. So first you
must identify what type of 1 phase motor you have, then IF it can be reversed, you can usually find a wiring diagram for it..
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** All I every really wanted to be, was... A LUMBERJACK!.**
Well, all AC induction motors are "squirrel cage" so that didn't help. But the one that you said is capacitor start narrows it down. Try this on for size and see if these numbers match up to what you have. If there are no numbers, notice that there is a color code chart that converts to the numbers. If what you have doesn't follow thse conventions, you may be out of luck.