Q:  Can you compute the instantaneous power of
      this engine at

          1000 RPM  =  104.7 rad/s

          2000 RPM  =  208.4 rad/s

          4000 RPM  =  418.9 rad/s

               How much work does it take to change speed?

                0 -  10 mph       20 - 30 mph       50 - 60 mph

                0 -  4.5 m/s     8.9 - 13.4 m/s   22.3 - 26.8 m/s
 -------------------------------------------------------------------------


Kinetic  start
Energy 
 (J)     end

 change = Work 

 -------------------------------------------------------------------------

                              change in speed            

                0 -  10 mph       20 - 30 mph       50 - 60 mph
 -------------------------------------------------------------------------
  approx engine
   speed (RPM)         1000          2000              4000
 -------------------------------------------------------------------------

  Work (J)

  

  Power (W)


  time 
  required (s)

 -------------------------------------------------------------------------