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I am currently trying to use a DC motor with a lead screw to eventually open an close a window. My window requires around 2 kg's of force to open and the distance that needs to be traveled is 20 inches.

As I lack knowledge in this field, I ordered the wrong motor for my job (Motor). It has too high of an RPM(5500) and not enough torque to even move .6 kgs. Here is the datasheet(My version is NA4565D, datasheet). When powering with my power supply, it only draws about .12 Amps(at 24v). How can I reduce the RPM and increase the torque? If possible without the use of gears, as i don't own a 3D printer to make them. And if there is no reliable way to do this, How can one do it with gears? And how would one calculate the required torque? Thanks in advance, do let me know if I can give you any more helpful info.

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You could use belts and pulleys, or buy gears and try to assemble a reducer, but I think you'd be better off just buying a gear-head motor. There is no way to electronically increase the torque much beyond the rated torque- we can reduce the speed and it's possible with some effort to maintain the torque. A gear-head motor will have the reduction gear train integrated into the motor assembly.

You need linear motion rather than rotary, which points to the use of a leadscrew (as you mention) or timing belt kind of arrangement. Calculating the torque required is more mechanical engineering but I think you can estimate it from lever arms and so on, and add a healthy safety factor to account for friction in the slides and drive train.

You probably also should consider a safety stop so that the window does not double as a dull guillotine as well as end-of-travel limit stops, of course.

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