Is my understanding of torque correct?

Hello!

I want to make sure I understand the math before buying a motor!

So, if I have a 3.2kg/cm motor is it the same as 160g at 20cm? Or 1.6kg at 2cm ect.

I want to move a 1kg object that is 20cm away from the motor axis 180 degrees (from one horizontal to another).

My understanding is that if I were to use aforementioned 3.2 kg/cm motor and then connected that to a 30:1 reducer of some sort then I would have a torque of 96kg/cm, or 4.8kg @ 20cm. There would be friction and inefficiency in the reducer, but is this general premise correct?

Thank you!!

Welcome to the community.

Torque is force multiplied by distance, so
0.160Kg at 20cm = 3.2Kg-cm
1.6Kg at 2cm = 3.2Kg-cm
1Kg at 20cm = 20Kg-cm

If you add a 6.25:1 gear down to a 3.2Kg-cm motor, it would theoretically provide 20 Kg-cm, but also 1/6.25 the original rpm.
If you add a 30:1 gear down to a 3.2Kg-cm motor, it would theoretically provide 96 Kg-cm, but 1/30 th the rpm.

Friction and inefficiencies tend to result in heat and noise.

Thank you very much for the welcome! That is the exact confirmation I was looking for!