Feed rates are quite simple to calculate. It is a technique that you need to learn.
The slower that the Leadscrew rotates, relative to the Spindle, the finer will be the feed rate..
The slower, relatively, that the Saddle (carrying the tool ) moves while the work is turning, the shorter the distance between the cuts.
So the 20T gear on the spindle meshes with the 80T on the first stud, making it rotate at a quarter of the spindle speed (80 / 20 = 4.) If the 80T is keyed to another 20T, they rotate at the same speed. The 80T on the Leadscrew will therefore rotate at 1/16 (1 / (4 x 4) ) of the speed of the lathe spindle.
Because the 80/20 intermediate gear acts as an Idler, the Leadscrew will rotate in the same direction as the Chuck. Since you seem to have a mini lathe, your Leadscrew will have a Left Hand Thread so that with one Idler, the saddle will move towards the chuck. Some much older lathes have a Right Hand Leadscrew, and so need a second idler for the Saddle to move towards the Chuck.
By altering the ratio between the Spindle and the Leadscrew the feed rate (Saddle movement per revolution of the Spindle ) at which the Saddle moves along the lathe bed, relative to the Spindle will change.
The lower the ratio, the faster the Saddle will move towards the Chuck. So, if you had a 20T driving a 80T Idler, which then drove a 20T on the Leadscrew, for every revolution of the chuck, with a 1.5 mm pitch Leadscrew, the Saddle would move 1.5 mm. The Leadscrew would be rotating at the same speed as the chuck.
Your Operator Manual will contain a chart showing what gear trains should be set up to cut a screwthread of a given pitch. A fine feed for turning is merely a geartrain being set up, effectively, to cut a screw thread, but of fine pitch and shallow depth for a finishing cut.
So the Leadscrew will move the Saddle 1/16 of its pitch for every revolution of the Spindle.
So, 1 revolution of the Spindle will cause the Saddle, carrying the cutting tool, to move (1.5 /16 ) mm = 0.09375 mm, with a 1.5 mm pitch Leadscrew.
The tumbler reverse controls the direction of rotation of the drive to the Leadscrew. In one position, the Saddle is driven TOWARDS the chuck. The next position is Neutral so that the tumbler gears do not mesh with any changewheel. In the other position, the tumbler reverse causes the the changewheels to rotate in the opposite direction, so that the Saddle moves AWAY from the chuck.
Your Operator Manual contains a chart showing what gears should be meshed to produce a thread of a given pitch.
A fine feed rate for turning is effectively a thread with a fine pitch, and a shallow depth of cut for a finishing cut.
HTH
Howard
Edited By Howard Lewis on 14/01/2021 18:34:16
Edited By Howard Lewis on 14/01/2021 18:37:51