A shunt-connected DC motor operates at its rated terminal voltage. Its no-load speed is 200 radians/ second. At its rated torque of 500 Nm, its speed is 180 radian/second. The motor is used to directly drive a load whose load torque T_L depends on its rotational speed (in radians/second), such that T_L = 2.78 × ω_T. Neglecting rotational losses, the steady-state speed (in radian/second) of the motor, when it drives this load is ______.