Problem $4$: Assume that you have a DC motor with the following magnetization curve over the operation range of interest and with $R_F=15,L_F=500mH,$ and $R_A=8.$

Find the speed of the motor, the torque supplied by the motor, and the efficiency of power delivery to the mechanical load if the motor is wired in the shunt configuration $(R_{\text{a}\text{d}\text{j}}=10)$ and connected to a DC voltage source of $V_T=175V$ and the voltage source is supplying in $3000$ W of power. Assume that the rotational losses are $0\mathrm{.}5$ Nm