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Lead screws are pretty much the same except the thread pitch is used. M8 threaded rod has a pitch of 1.25mm, 3200 steps are required to make a complete revolution (200 steps/rev x 16 microsteps/step) so 2560 steps are required to move a captive nut 1mm along the threaded rod (3200 steps/rev / 1.25mm/rev).
Lead screws are pretty much the same except the thread pitch is used. M8 threaded rod has a pitch of 1.25mm, 3200 steps are required to make a complete revolution (200 steps/rev x 16 microsteps/step) so 2560 steps are required to move a captive nut 1mm along the threaded rod (3200 steps/rev / 1.25mm/rev).


Pinch rollers should behave just like gears, so one should be able to calculate steps/mm of filament movement if the geared extruder drive and the pinch roller was treated as if it were a transmission. However, the textured roller interacts differently with different filament materials and even color changes in the same material can result in different behavior in the extruder system (resulting from back pressure on the extruder drive, softness of the material and probably other interesting phenomena). In practice, the steps per millimeter of filament is determined empirically by measuring the amount of filament actually extruded and factoring steps by the ratio of expected movement to actual movement. This isn't something to get excited over; there are many ways to manipulate extrusion rate and ultimately what matters is that the print produced is dimensionally sound and aesthetically acceptable.
Pinch rollers should behave just like gears, so one should be able to calculate steps/mm of filament movement if the geared extruder drive and the pinch roller like was treated as if it were a transmission. However, the textured roller interacts differently with different filament materials and even color changes in the same material can result in different behavior in the extruder system (resulting from back pressure on the extruder drive, softness of the material and probably other interesting phenomena). In practice, the steps per millimeter of filament is determined empirically by measuring the amount of filament actually extruded and factoring steps by the ratio of expected movement to actual movement. This isn't something to get excited over; there are many ways to manipulate extrusion rate and ultimately what matters is that the print produced is dimensionally sound and aesthetically acceptable.


All of this matters because the firmware uses these key bits of information to move all the axes just the right amount. If these values are wrong, the printer won't produce a print matching the dimensions of the model and probably won't even produce a usable print (keep in mind that the slicer figures all the movements out based on volume of filament required to fill intervening space). Printer users must set these values in firmware and the terms "steps per millimeter" and "E steps per millimeter" are frequently bandied about. The first term refers to the three linear axes and the latter refers to the extruder (E = extruder).
All of this matters because the firmware uses these key bits of information to move all the axes just the right amount. If these values are wrong, the printer won't produce a print matching the dimensions of the model and probably won't even produce a usable print (keep in mind that the slicer figures all the movements out based on volume of filament required to fill intervening space). Printer users must set these values in firmware and the terms "steps per millimeter" and "E steps per millimeter" are frequently bandied about. The first term refers to the three linear axes and the latter refers to the extruder (E = extruder).
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