I have seen motors spec'd at a given number of starting seconds per hour. Not exact, but it covers dofferent loads quite well.
electricpete;
In your first post, should the kinetic energy of the rotor be added to the kinetic energy of the load?
Also, let's make an allowance for all work done during the acceleration period.
Then we have the phenomena of the stator being more effective at rejecting excess heat than the rotor.
For a rule of thumb, I like the manufacturers who recommend maximum seconds of starting duty per hour.
Btw pete. Look for a connection to ground instead of to neutral for your 5 lights. On the other light, does the dimming correlate with the acceleration of the exhaust fan?
respectfully