How to calculate motor maximum acceleration with load

[BlueCerealBox]

Hi,

As part of my project to build a satellite, I am designing a reaction wheel to maneuver the satellite. I am currently in the process of determining the details (Material to be used,Weight, Radius and Height) of the flywheel to be attached to the motor. The motor that I am currently using is the Faulhaber 2610T006B :

https://fmcc.faulhaber.com/details/overview/PGR_4563_13825/PGR_13825_13814/en/SG/

( On the datasheet, there is a column labelled "006B" refer to the motor constants there )

I have currently determined that I need a bare minimum torque of 2 x 10^-4 Nm to ensure that my satellite rotates fast enough to meet my requirements. I will be using the formula : tau = I * alpha , where tau is my bare minimum torque , alpha is the maximum acceleration of the motor, and I is the moment of inertia of the flywheel.

I would need to know the maximum acceleration provided by the motor when my flywheel is attached to calculate the minimum moment of inertia required by my flywheel.

Is there anyway to calculate the maximum acceleration of the motor when a load is attached? Currently I'm thinking that it should be just taking the max. torque of the motor ( 3.14mNm as provided in the datasheet ), and dividing it by the rotor inertia, but I am not sure if this is correct.

Thanks for the help!

PS: If you still require more details, this link that I have posted on another forum fully describes what I am trying to do :

http://space.stackexchange.com/questions/18624/help-with-reaction-wheel-flywheel-sizing

 

[Alec_t]

but I am not sure if this is correct.

Looks correct to me, providing the rated maximum torque occurs at start-up with the motor stalled.