A three$-$phase $60-$Hz induction motor has the following parameters: $=180$ kVA $=480$ VLL $=2$ kW $=10$ poles $1=0\mathrm{.}361=0\mathrm{.}07=252=0\mathrm{.}452=0\mathrm{.}20$ The motor is operating at a slip of $6\mathrm{.}25\%$ with a voltage of $450$ VLL $60-$Hz connected to the terminal. a$)$ What is the motor$$s mechanical speed in rpm$?$ b$)$ What is the motor$$s line current $$ and reflected rotor current $2?$ c$)$ What is the motor$$s input power Pin? d$)$ What is the motor$$s air$-$gap power PAG? e$)$ What is the motor$$s mechanical power Pmech? f$)$ What is the motor$$s torque $?$