A de motor develops 50 N-m of torque at a speed of 4775 rpm (500 rad/sec) when 10 volts are applied. It stalls out at this voltage with 100 N-m of torque. If the inertia and damping of the armature are 5 kg-m2 and 1 N-m-s/rad, respectively, find the transfer function G(s) = 0¿(s)/E«(s) of this motor if it drives an inertia load of 100 kg-m2 through a gear train as shown in Fig.3. edt) Motor N=10 Ny=20 N=20 N-50 O Load Fig.3

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Electrical Engineering 350 ( System Dynamics and Control )

A de motor develops 50 N-m of torque at a speed of 4775 rpm (500 rad/sec) when 10
volts are applied. It stalls out at this voltage with 100 N-m of torque. If the inertia and damping of the
armature are 5 kg-m2 and 1 N-m-s/rad, respectively, find the transfer function G(s) = 0,(s)/Eq(s) of
this motor if it drives an inertia load of 100 kg-m2 through a gear train as shown in Fig.3.
edt) Motor
|N;=10
| Ny=20
N=20
N=50 AO Load
Fig.3
Transcribed Image Text:A de motor develops 50 N-m of torque at a speed of 4775 rpm (500 rad/sec) when 10 volts are applied. It stalls out at this voltage with 100 N-m of torque. If the inertia and damping of the armature are 5 kg-m2 and 1 N-m-s/rad, respectively, find the transfer function G(s) = 0,(s)/Eq(s) of this motor if it drives an inertia load of 100 kg-m2 through a gear train as shown in Fig.3. edt) Motor |N;=10 | Ny=20 N=20 N=50 AO Load Fig.3
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