This is Turtle.
i know what your hitting at here and you have pushed your motor theory too far to accept here.
If you have a 1 h.p. motor 1075 rpm, running at 1075 rpm on a 1 horse load. Then you take a 2 horse 1075 rpm motor and replace the one horse motor with the 2 h.p. motor 1075 rpm . the 2 h.p. motor will pull the load well at maybe 1075 to 1085 , but no where near 1200 rpm. now leave power factors out of it here.
Now you say a 1 hp motor 1075 rpm job when replaced with a 2 horse motor 1075 rpm , the motor will turn at maybe 1,200 rpm or better.
Now you may have got your info from Nick Pines but in the real world the single speed condenser motor 1075 1/3 hp. will turn at 1075 at 1/3 hp load. if you increase the horse power two times will not increase the speed any great amount to speak of or about maybe 10 rpm's at best because of a 1/3 hp load and a 2/3 hp motor pulling it.
Now you say a 4 speed indoor blower will spend at 1,200 rpms if on high and on low and other speeds it will run slower because of slippage of the motor and make it turn at say 800 rpms.
If this is true and lower speed and all other speeds turn at 1200 rpm always if unloaded. Why do they have 4 wires on it and just have 2 and just let it slip for the other lower speeds.
Probley what your tring to use for a example is the new multi-horse power & speed motors. With these they may have this theory but regular motor don't follow your thinking.
I know a fellow at emerson and i will tomorrow to check with him and check your NEW theory out. I've heard it before and it did not flow.
TURTLE