Of course the ccorrecting ability is dependant on the speed on the dial. Are you telling me the polisher will correct just as fast at speed one that it would do at speed 6? Of course not!
Dylan was referencing the differences between the ES tool at speed 6 and the MkII at 3-4. He is stating that the MKII produces more torque at speed 3 then the ES does wide open.
Here is the math I am making: The mark II was advertised having 30% more power than the mark I.
You are assuming that the speed dial on each tool is linear and this is incorrect. Each speed dial is calibrated to the machine. Also, both tools feature control modules that vary the torque needed to maintain RPM at a given speed setting. You might but headers on your car which give you a 10 percent increase in PEAK torque, but produce 30 percent more power at a lower RPM. This is not a direct analogy because electric motors produce equal torque at all RPM, but if you swap RPM for throttle you can see where I am going.
The Mark II produces more torque at speed three then does the ES tool wide open, while drawing even less power to produce that torque.
So let's say the mark one has 100% power, and the mark II has 130% power at speed 3 they would have 50% and 65% respectivelly. So can you say at mark II at 65% power will correct faster than a mark I at 100% power.
Again, this is incorrect.
First, the ES tool will run a maximum RPM of 4200 RPM at speed 6, the MKII reaches 4200 RPM at speed 4.
Second, the "torque curve" of an electric motor is flat - they produce the same potential torque at any given RPM and in the case of the RUPES BigFoot Polishers, torque delivery is controlled by a very sophisticated control module that measures a variety of factors to dial in the torque needed to maintain engine RPM based on load.
So if you take the MKII at speed 3-4 and run it in light load, it will does not need maximum torque, it just needs enough to keep the motor RPM (which can also be measured in OPM at the eccentric set) constant. If you push down on the tool and increase drag, the control module will increase torque necessary to maximum to keep the RPM constant.
The ES tool also features a very sophisticated control module that serves the same function. However, being that it doesn't have the same torque production of the MKII, it will dial in maximum power while the MKII has power to spare.
Can we say that the MKII tool at 65% power will produce better results then ES at 100% power? No, but that never occurs. The speed dial is an RPM setting, but being electric tools with sophisticated control modules, each tool has access to maximum power at any speed setting if needed (more or less). Below speed 6, torque is actually limited slightly in both tools, but that is not what you are asking. Can we say that the MKII tool at 65% throttle will outperform the ES at 100% throttle? YES, that is what Dylan has stated, that is what users have and are experiencing, and that is what I have hopefully explained.
This makes no sense to me. Again going back to the OP's comments, he is saying you are supposed to run the Mark II at speed 3. The mark I is supposed to be run at speed 4.5 so we are talking 50% vs 75% respectivelly so again the mark I in normal conditions would correct better.
No, the Mark II at speed 3 produces higher motor RPM and 30% more torque than the ES tool at at speed 4.5-5.
The Mark II tool produces slightly less RPM at 3 than the ES tool at 6, but because can deliver up to 30% more torque if needed, it will maintain motor RPM better under heavy loads, and thus perform better.
Correction ability is dépendent on rotation, occilations and throw. Since the throw is the same on both machines, then actual power can be compared directly unless Rupes did some magic trick I don't know about.
Correction ability is dependent on far more than rotation, oscillations and orbital diameter, but those are very important factors when it come to measuring the potential that tool can produce.
What you refer to as magic tricks, RUPES calls engineering. There are quite a few engineered detail tools that we don't advertise that allows the MKII tool to deliver the torque the motor produces to the paint more efficiently and take full advantage of the additional torque produced by the MKII tool.
Imagine 2 cars, identical except for the motor. In a drag race both produce near identical acceleration times because the tires are already pushed to their limits of traction. The car with increased power might need an upgraded suspension to plant the tires on launch, or perhaps the angle of the differential and help resist wheel hop, or a quicker compression of the rear springs allows for better weight transfer, which then aligns the new differential to plant the tires.... and piece by piece each you end up with a system that delivers the additional power of the motor resulting in the more powerful car walking away from the original.
I truly hope this helps answer some of the questions you have. I appreciate you giving this thought and I love the breakdown into math. I am the same way!! I love thinking about the way things work, but in this case you may just have a limited understanding of the engineering and concepts behind RUPES power tools. If there are any questions you have, feel free to shoot me a PM and ask away.