A DC servomotor has a torque constant = 0.088 N-m/A and a voltage constant = 0.12 V/(rad/sec). The armature resistance is 2.3 ohms. A terminal voltage of 30 V is used to operate the motor. Determine
(a) The starting torque generated by the motor just as the voltage is applied,
(b) The maximum speed at a torque of zero, and
(c) The operating point of the motor when it is connected to a load whose torque characteristic is proportional to speed with a constant of proportionality = 0.011 N-m/(rad/sec).