A certain rotational system has the equation of motion 100 d/dt +5 = T(t) Where T(t) is

Question:

A certain rotational system has the equation of motion
100 dω/dt +5ω = T(t)
Where T(t) is the torque applied by an electric motor, as shown in Figure 8.1.8. The model of the motor's field current if in amperes is
0.002dif/dt + 4if = v(t)
Where v(t) is the voltage applied to the motor. The motor torque constant is KT = 15 N.m/A. Suppose the applied voltage is 12us(t)V. Determine the steady-state speed of the inertia and estimate the time required to reach that speed.