Just to make sure my poor old brain is still working...
If you put a 1m radius pulley on a 3Nm motor
One rev gives you 3N over a distance of 2 meters
One rev on a 10mm screw only moves you 0.01m
so the force increases in proportion (3 x 2 ) / 0.01 = 1885N force
1N will accelerate a 1kg mass at 1 m/s/s
So 1885N will accelerate a 132kg mass at 1885/132 = 14.2m/s/s
Sounds okay, 1G is 9.8m/s/s and 1G with a safety margin is good acceleration.
Also we know that 132kgf will accelerate a 132kg mass at 1G because that is what happens when you drop it.
So you get about 132kgf to drive the tool dead slow with the same margin.