A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It stalls out at this voltage with 100N-m of torque. If the inertia and damping of the armature are 7kg-m?and 3N-m-s/rad, respectively, find the transfer function, G(s) = 0,(s)/E.(s), of this motor if it drives an inertia load of 105 kg-m² through a gear train, as shown in figure below: Om(1) ea1) Motor N = 12 N2 = 25 N3 = 25 O2(1) N4 = 72 Load

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
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Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.7P
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A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It stalls out at this voltage
with 100N-m of torque. If the inertia and damping of the armature are 7kg-m?and 3N-m-s/rad, respectively, find the
transfer function, G(s) = 01(s)/E.(s), of this motor if it drives an inertia load of 105 kg-m² through a gear train, as
shown in figure below:
(1)“e
N = 12
ea(t)| Motor
N2 = 25
N3 = 25
OL(1)
N4 = 72
Load
Transcribed Image Text:A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It stalls out at this voltage with 100N-m of torque. If the inertia and damping of the armature are 7kg-m?and 3N-m-s/rad, respectively, find the transfer function, G(s) = 01(s)/E.(s), of this motor if it drives an inertia load of 105 kg-m² through a gear train, as shown in figure below: (1)“e N = 12 ea(t)| Motor N2 = 25 N3 = 25 OL(1) N4 = 72 Load
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