996ac6dd   
   From: DGoncz@replikon.net   
      
   [[Mod. note -- I'm sorry for the delay in processing this article, which   
   arrived in my s.p.r inbox on 2023-02-08.  -- jt]]   
      
   Cylindrical coordinates are defined usually by a first variable of Radius,   
   a second variable of Height, and a third variable of Angular displacement   
   from a reference Ray. I will maintain this order here and will refer to R,   
   H, and A as variables for every point in the system I am trying to   
   conceptualize this morning.   
      
   I posted recently on chat GPT with a full transcript, thanks to moderation   
   inserting with double carets the omitted notes as to the source of each   
   block of text. There have been 28 reads of that submission so I will   
   continue on about homopolar bicycle hubs.   
      
   Let's leave off the chain drive for now and consider a rear homopolar hub   
   for a human electric hybrid bicycle. A homopolar hub accepts and receives   
   direct current and in an electric hybrid bicycle, that flow of current   
   would come from and go to an ultra capacitor, most likely. A suitable piece   
   of hardware, and ultra capacitor rated 16 volts DC, 500 farads, with   
   balancing resistors, and an internal effective series resistance of   
   approximately 1,000 of an OHM, with current capacity of order 1,000   
   amperes, is available from Amazon and other sellers, and represents about   
   90% the state of the art. This ultra capacitor stores 64 kilojoules, which   
   is theoretically enough to accelerate a bicycle and Rider weighing about   
   250 lb to a terminal speed of 190 mph, or to climb a 166-ft hill if I did   
   my calculations and conversions from English to metric units correctly.   
   Kinetic energy is 1/2 MV squared. Potential energy is MGH. Ultra capacitor   
   energy is 1/2 c e squared.   
      
   So let's think of a rear axle homopolar human electric hybrid rear hub in   
   its most symmetrical configuration. The axis which is variable H, is   
   roughly plus and minus 67 mm for an overlock nut spacing of about 135 mm,   
   the most common bicycle rear hub overlock nut spacing. Let's say we're   
   using a 700c rear wheel and say that the radius, that is variable R, goes   
   from zero up to about 350 mm which if you remember is about the radius of a   
   standard 700c type bicycle wheel. And of course variable A goes from   
   including zero to not including 360=C2=B0 or if you prefer 2pi radians.   
      
   Now on this rear axle let us establish the symmetries. Almost verything we   
   consider from this point on will have axial symmetry on variable H, which   
   is to say if there is a magnet at some location R,H,A, an infinitesimally   
   small bit of a magnet to be clear, there will also be an identical   
   infinitesimal bit of matter in this example of magnet at variable R, -H, A.   
      
   There is no radial symmetry. Everything starts at zero and goes outward   
   from the origin for the radius variable R.   
      
   There is an angular symmetry for variable A. If there is a bit of matter be   
   it a bearing, a coil, a magnet, a backing plate, a spoke interface,   
   accepting the spokes which violate angular symmetry, or a bit of rim or a   
   bit of inner tube or tire at coordinates R,H,A, then with angular symmetry   
   there is an identical bit of matter of the same type for all coordinates   
   and I'll use the wild card * here, all coordinates of value R,H,*   
   remembering that star can have any value from 0=C2=B0, let's say at the   
   reference Ray including the tire valve up to and not including 360=C2=B0 or=   
    if   
   you prefer up to and not including 2 pi radians.   
      
   This concludes the establishment of the symmetries. As I've mentioned the   
   spokes are asymmetric and this has to do with transmitting torque to the   
   rim. I would like to introduce first the other asymmetric part of the   
   system.   
      
   Let us consider a symmetric torus of rectangular cross section centered at   
   the origin extending one quarter of an inch in each direction H, that is   
   having a thickness of half an inch. And let us establish that the outside   
   diameter of this rectangular cross section torus is five inches or 127 mm   
   precisely. And further let us establish a 2 inch inner diameter for this   
   coil.   
      
   I would make this coil form out of beryllium oxide because the wire in this   
   homopolar Hub is going to, by my calculations overheat drastically when an   
   attempt is made to capture bicycle potential energy and put it into the   
   ultra capacitor so I have asked the manufacturer to quote me a price for   
   this exotic laser machine ceramic and I will let you know if I can get one.   
      
   Now let's cut a slot in it at the origin Ray about a 32nd of an inch thick   
   allowing for winding, and wind it with some 288 turns of 20 gauge magnet   
   wire in copper and Tuck the ends into a 12 mm axle on which it is mounted,   
   after machining about an 1/8 inch slot in the axle about a half inch in   
   length, and let us use an axle made of good quality Steel having an inner   
   diameter of about an eighth of an inch which is plenty of room for those   
   two magnet wire leads. I have sourced and purchased this material from   
   online metals.com and I'm currently working on sawing it to exact lengths   
   in machining the slot.   
      
   The winding is fixed to the axle and drives the Hub by inducing through   
   Faraday's law, motion of two large magnets connected to the wheel through   
   spokes. Let me describe the large magnets.   
      
   Neodymium magnets of 5-in outer diameter, 2 inch inner diameter, and 1/2-in   
   thickness are available at around $150 and are used in metalworking for   
   grabbing and or holding material and moving it or keeping it from moving   
   during manufacturing and the machining operations. My source for these is   
   mscdirect.com otherwise known as Manhattan supply company, and I think they   
   had something to do with the Manhattan project as an aside, and I have an   
   account there so I can get those magnets. I would need two of them.   
      
   Between the coil and the magnets there has to be a gap of about a 32nd of   
   an inch. But remember the coil breaks the symmetry the way the spokes break   
   the symmetry. It's helicity is constant all the way around almost a full   
   360=C2=B0. It's winding is what is called poloidal. It's internal field is =   
   what   
   is called toroidal and almost has no external field.   
      
   So let's position the magnets on suitable ball bearings which I have   
   sourced from vxb.com at about a 30 second of an inch away from the coil and   
   compassing a fold width of slightly more than 2 in, which is a common   
   spacing for the flanges of an electric bicycle hub.   
      
   Further let us arrange the poles of these magnets north to North, repelling   
   each other strongly, press them into position with screws or a machine   
   press, and fix them into position with flanges and screws or some means.   
      
   The axial load on the bearings will be high and there is a type of bearing   
   called angular contact that deals with that well. I've also sourced these   
   from vxb.com.   
      
   So all of this is preface to the interesting question to follow.   
      
   Is it a motor?   
      
   I opened the discussion to the learned readers of the sigh.physics.research   
      
   [continued in next message]   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)