GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

A shunt – connected DC motor operates at its rated terminal voltage. Its no – load sped 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 radian/second), such that ${\mathit{T}}_{\mathit{L}}=2.78\times {\mathit{\omega }}_{\mathit{T}}$. Neglecting rotational losses, the steady – state speed (in radian/second) of the motor, when it drives this load is_____________