# Stepper motor torque calculation based on pulleys ratio

Say a stepper motor has fixed value of "units", given as a holding torque related to distance of the center of its shaft. Like 1kg/cm or 14oz/inch.

I have a GT2 16-teeth pulley on the motor shaft. (I'm using a 5mm GT2 belt as a load transfer if that matters) Knowing that the motor can hold 1kg weight, 1cm away of the center of its shaft, and the 16-teeth pulley "outher-teeth" diameter is 9.7mm, I can easily assume that it can hold about 1kg of load safely (at least trusting manufacturer's datasheet).

But, what if I add a GT2 48-teeth pulley on the load part (I don't know the outer diameter)?

Is there any algorithm I could use (to atleast roughly) calculate load capabilites of the motor, based only on the pulley teeth count?