Tumble dryer induction motor wiring
This is a PSC (permanent split phase capacitor motor) that has two windings that together produce the rotating field. One is fed through the run capacitor, so that the current through it is out of phase with the other winding. They are normally wired as below. The connection between the capacitor and the  neutral side can be either internal to the motor, in which case 4 wires come out, or external, so that there are 3 wires, and the cap is commoned elsewhere.



To reverse these motors, you need to reverse either one of these windings, which would require a two pole changeover switch, so specifically reversible motors are connected a little differently.



(picture from here) On these motors the two windings aren't differentiated 'main' and 'auxiliary' as is normal - the auxiliary is usually a higher resistance which allows the main winding, which takes more current to use more of the available space. The windings are identical, and the cap is connected between them. Imagine that the white wire on yours is connected to the 'L' terminal on the first diagram, and the red and black at the two right hand corners. That way, whichever one the switch connects to becomes the main, and the other the auxiliary, which reverses the sequence of the field.

For single direction, you just need to connect up the white, and whichever of the red or black produces the right rotation, and leave the other side of the cap connected to the motor winding and nothing else.