I'm sorry to do this to you, good try and all that, know you only want to help, but you can't bamboozle me with your arithmetic and Wiki-whatsit :very_drunk:
force = mass * acceleration
If you want torque you add a distance component
Torque = mass * acceleration * radius
Of course the acceleration here is peripheral acceleration, not radians/s/s
If you insist on radians/s/s and moments of inertia... One turn is 2 pi radians and moves you by 2 pi radius so they simply cancel out after you have gone all the way round the houses.
The 1/8" wall tube weighs 2.35 kg, the peripheral acceleration is the same 2.94 m/s/s as the gantry, the worst case radius is 0.019 m
2.35 * 2.94 * 0.019 = 0.131 Nm
But geared 3:1 down the motor only needs to find an extra 0.044 Nm