## Motor, gear choosing help

I am not very know a electrical part or motor, please anyone can teach me ?thanks
I have designed a small scissor lift use to lift human from sitting.
The scissor lift using a motor driving a acme screw, so i calculate from the weight of human and get the torque need to lift at lowest posotion is 10Nm and speed is not important, around 106.9RPM. power is 102watt

At highest position the torque 2.17Nm. If vertical speed equal along lifting (at all position) the RPM in this position is 447.8RPM.

But the torque rise by screw will gradually decreasing when lifting from lowest position to highest position, So Is it the speed will increasing too?

So i need a 120 watt dc motor due some friction, but my maximum torque is 10Nm , and i cannot get a motor with stall torque up to this value in 120 watt.Why? can any one help?
How to choose a motor for my condition??

after choose a motor, with its rated speed, i have to gear down the speed from motor rated speed to 106.9RPM or 447.8RPM? to choose a gear ratio?

Thanks