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I'm trying to choose the right motor for a test rig I've built. I have a shaft attached to a cylinder that weighs 6kg, and I need to know how much torque would the motor I'm getting need to be able to produce in order to rotate the cylinder at 100RPM.

My attempt:

Torque = Force x r

where r = radius of the cylinder = 0.08m

Force = mass x acceleration

where mass = 6kg

accel = velocity/time

velocity = r x ω (rotational speed)

where ω at 100RPM = 6.28 rad/sec

So v = 0.08 x 6.28 = 0.5 m/s

Therefore accel = 0.5/t

Therefore T = 6 x 0.5/t x 0.08

= 0.24/t Nm

Is it as simple as this or is there more to it? And how do I know what t should be to work out the acceleration if all I know is what velocity I want it to rotate at? Would every motor have the acceleration spec listed with it or something?

Thanks in advance.

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# Torque required to drive shaft

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