Thursday, August 4, 2011

Existence of Inflection Point Has Been Determined

The following graph has been plotted from the data from the previous post. (The 2000 RPM and 2500 RPM data are new and are from experiments conducted since my last post.)

The data points are generated by a simple formula:
(Number of Counterclockwise Rotations in the cycle - Number of Clockwise Rotations in the cycle)
Please note that)
a) The first cycle is a sinusoid @ Maximum of 1 Ampere.
b) The second cycle is a sinusoid @Maximum of 2 Amperes.
c) The third to tenth cycles are sinusoids @ Maximum of 4 Amperes.

I've already noted most of the trends seen here, except for one important one: As we increase the speed of the wheels, and perform the same experiment over and over again, we notice an inflection point around 3000 RPM when the system experiences the most clockwise rotations. 

On either side of this speed (3000 RPM), we see that that number of CCW rotations exceeds the number of CW rotations significantly, but while in the inflection zone the number of CW rotations exceeds the number of CCW rotations significantly! 

This inflection in a zone of speed where the CW rotations exceed CCW rotations is a sign of that the saturation point indeed exists.

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