From: muratlanne@gmail.com   
      
   "Richard Smith"  wrote in message news:m1r01kwsh9.fsf@void.com...   
      
   P=power (Watts)   
   tau = torque (Newton.metres)   
   omega = rotation-rate (radians/s)   
   Latter makes total sense - well it does for me :-)  Radian is where a   
   radius is wrapped around the circumference.  Very often gives vast   
   simplifications (compared to working in angular Degrees or Revs Per   
   Minute, etc.).   
      
   ------------------------------------   
      
   I took night school classes to keep up with my day job. The analytic   
   geometry teacher gave many practical hints that made working with sines and   
   cosines simple, but in Degrees. For me learning advanced math from night   
   school teachers who used it as a tool in their day jobs was much easier than   
   from those in college who considered it an abstract art form. In night   
   school I aced calculus classes I'd barely squeaked through in college. I was   
   probably correct to take chemistry which I could pass instead of more   
   mathematical electrical engineering. DC isn't bad, AC requires advanced   
   calculus.   
      
   Phase modulation for digital radio employs similar trigonometry but in   
   Radians, expressed as a multiple of pi, 2*pi being a full circle. I   
   struggled to quickly mentally convert between 45 degrees and pi/4 etc, also   
   between decibels and voltage, when listening to explanations of what an   
   engineer wanted me to build or interpreting an instrument display.   
      
   https://en.wikipedia.org/wiki/Phase-shift_keying   
      
   That and especially the error correction schemes were among the most   
   difficult subjects I ever encountered, since I had lost my way while   
   studying Laplace Transforms in college. Segway motor drives used similar   
   math, based on the "imaginary" square root of -1 defining an orthogonal axis   
   for "imaginary" capacitive and inductive current and voltage. Complex   
   numbers that initially seemed useless to me are a perfect fit.   
      
   https://www.egr.msu.edu/~wierzba/steinmetz.pdf   
   "His paper on complex numbers revolutionized the analysis of ac circuits,   
   though it was said at the time that no one but   
   Steinmetz understood the method."   
      
   https://www.smithsonianmag.com/history/charles-proteus-steinmetz   
   the-wizard-of-schenectady-51912022/   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)