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# Calculating torque required to rotate a platform

I am trying to spec out a motor's torque required to rotate a platform about an axis.

This diagram makes it better to understand(it's like a rotisserie):

Dimensions are in cm:

I have an arbitrary shaped object on the platform that I simplified to a cuboid to calculate the moment of inertia.

The combined weight is about 25kg.

I use the moment of inertia formula for a cuboid along the length axis and use the parallel axis theorem to move the axis to where I have the rod, I get:

I = (1/2) * m * (w^2 + h^2) + m*((0.5*h)^2)
= (1/2) * 25kg * (0.4^2+ 0.5^2) + 25 * (0.2^2)
= 6.125 kg-m^2


Assuming I want to reach 5 rpm in 5 seconds. I have

  5rpm = (2 * pi * 5)/60  rad/s

alpha = ((2 * pi * 5)/60 - 0)/(5-0)  rad/s^2


T = I * alpha = 6.125 * (pi/30) = 0.64N-m