A 12V DC motor is connected to a 75:1 speed reduction gear box. The output shaft of the motor rotates at 400 rev/min. a. What is the motor torque constant, k, of the DC motor? b. The motor resistance is 6 Ohms. What is the output torque of the gearbox? c. Draw two plots of the torque-speed curve (1) with the gearbox, and (2) without the gearbox, labeling the x and y intercept values. d. The motor inertia is 2.2E-5 kg m2, what is the time constant of the motor