Directory:Bedini SG:Calculations:Deceleration
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Deceleration Calculations for John Bedini's "School Girl Radiant Energy Circuit and Motor"
Calculating Frictional Lossess from Deceleration Data.
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Preface
Supposedly you can take wheel deceleration data (plotting the curve of decay) and derive a rough estimate of the frictional losses in the rotating system.
Equations
Equation Explanation
Oct. 14, 2004
The essence is that the quantity Q is a useful measure in considering any oscillator. It is defined as the energy stored divided by the energy lost per cycle. For an angular momentum device, like a bicycle wheel, the energy stored, W = 1/2 I omega squared. Working through the equations one gets that Q = -1/2 omega/y-dot, where y-dot is the time derivative of the fractional frequency acceleration of the rotating device. This is what one can easily measure, then use this equation to calculate the energy lost per cycle.
It is energy, not power, lost per cycle, which is like a power loss. As you will see in the equations sent, the model is that of an exponential decay. As you know, this is very typical for decay processes. When you write the energy stored as a function of time, it is an exponential with a time constant tau_sub_e of 1/(2*y-dot). The fractional frequency is just y = (f(t) - fo)/fo, where fo is the nominal frequency -- in Sterling's case about 115 rpm. The symbol y-dot denotes the time derivative of y, and it will be negative because of the resistive slow down of the bicycle wheel.
You can see all of this in the equations; excuse the rough form of them. These were for my own notes as I was writing them up in a LaTex file, which I have not compiled yet, or I would send you that. It has all the words wrapped around the equations. If you can read LaTex, I could send that to you.
Specific Data
- Sterling's Deleration data for his 22" wheel (http://www.pureenergysystems.com/PESWiki/Directory/Bedini_SG/Replications/PES/Sterling_Allan/Data/Deceleration/data_exp1_slow_down_from_109rpm_SDA_Bedini_SG.xls) (xml) Decelerating from 109 rpm. If any of you can combine this information provided on this page to supply a frictional loss calculation for my wheel, I would appreciate it.
See also
- Return to School Girl Radiant Energy Circuit and Motor
- Other Directory Listings
- Return to PESWiki main page
