A $3 \phi$, four-pole, $60 \mathrm{~Hz}, Y$-connected induction motor rated at $440 \mathrm{~V}$ and $1750 \mathrm{rpm}$ has the following per-phase model parameters: $R_S=$ $0.35 \Omega, X_s=1.1 \Omega . X_r^{\prime}=1.1 \Omega, R_r^{\prime}=0.15 \Omega$, and $X_m>>\left|R_r^{\prime} / s+j X_r^{\prime}\right|$ and can, therefore, be neglected. If the motor is operated at rated voltage and shaft speed, find the magnitude of the line current if the motor is used in a hoist that requires a torque of $146.29 \mathrm{~N}-\mathrm{m}$ to drive a load.