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Originally Posted by Levansic
It's been a while since I've had to use diff. eqs., but your solution looks correct to me.
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Thanks for giving it a look.
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The only thing I caught that may lead to confusion here is the missing note that S in eq. 9 is in units of radians per second, not rpm, as most published specs for motors list.
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Actually, the missing note was that all units are assumed to be SI
:-)
For those allergic to SI, attached is an example of a choice of a consistent non-metric system of units for this problem.