8.7 A certain rotational system has the equation of motion do 1005 +5@= T(t) dt 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 is in amperes is dif 0.002- + 4if = v(t) dt 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 12u, (1) V. Determine the steady-state speed of the inertia and estimate the time required to reach that speed.

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8.7
A certain rotational system has the equation of motion
dw
100- +5@= T(t)
dt
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
dif
0.002- + 4if = v(t)
dt
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 12u, (t) V. Determine the
steady-state speed of the inertia and estimate the time required to reach that
speed.
Transcribed Image Text:8.7 A certain rotational system has the equation of motion dw 100- +5@= T(t) dt 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 dif 0.002- + 4if = v(t) dt 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 12u, (t) V. Determine the steady-state speed of the inertia and estimate the time required to reach that speed.
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