This question relates to DC motor modeling and control. Show your work.$$Compute the mechanical power $($in W$)$ corresponding to a torque of $1$ N m and a speed of$$

$3600$ rpm $($recall: $1$ revolution $=2$ rad, $=$ TM w$,$ and $1$ W $=1$ Nm$/$s$).$ Consider a DC motor with R $=1$ and K $=0\mathrm{.}1$ N m$/$A$.$ Assume that the applied voltage v$,$ the current i$,$ and the speed @ are constant. Then, the electrical equation becomes v $=$ Ri$+$e$,$ with the back$-$eme $=$ Kw and the torque TM Ki$.$ What is the back$-$emf at $600$ rpm$?$ c$.$ If the motor produces a torque TM $=0\mathrm{.}1$ N m$,$ what current flows in the motor AND what$$

voltage is being applied to the motor?$$ What electrical power is absorbed from the source, what power is lost in ohmic losses, and$$

what mechanical power is produced? Recall the mechanical power is: TM W$.$