In the Boston gear Catalog, in the worms and worm gears section, they have single, double and four threads. All with the same pitch diameter but very different helix angles. Doesn't the helix angle change the P.D.? Thanks
You are using the same wormgear regardless of the number of leads. The only thing that changes is the lead angle on the worm because they have to spread the "threads" apart to accommodate the additional leads. So where does the helix angle come in?
The pitch diameter is a function of the number of teeth and the pitch of the teeth, specified as diameter pitch or metric module. The lead angle has no effect on this. The lead angle is driven by the worm's pitch diameter and the number of leads.
The worm wheel is cut for a specific pitch, number of teeth, worm diameter and number of leads. Worm wheels are not interchangeable unless you are making a very crude, sloppy worm drive.