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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 100 N-m of torque. If the inertia and damping of the armature  are 7 kg-m2 and 3 N-m-s/rad, respectively, find the transfer function, G(s)=θL(s) / Ea (s), of  this motor if it drives an inertia load of 105 kg-m2 through a gear train, as shown in Figure  2 below.

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 100 N-m of torque. If the inertia and damping of the armature  are 7 kg-m2 and 3 N-m-s/rad, respectively, find the transfer function, G(s)=θL(s) / Ea (s), of  this motor if it drives an inertia load of 105 kg-m2 through a gear train, as shown in Figure  2 below.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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 100 N-m of torque. If the inertia and damping of the armature 
are 7 kg-m2 and 3 N-m-s/rad, respectively, find the transfer function, G(s)=θL(s) / Ea (s), of 
this motor if it drives an inertia load of 105 kg-m2 through a gear train, as shown in Figure 
2 below.

ea(1) Motor 0m(t) N₂ = 25 N₁ = 12 N3 =25 BL(1) 12 fe N₁ = 72 Figure 2 Load
Transcribed Image Text:ea(1) Motor 0m(t) N₂ = 25 N₁ = 12 N3 =25 BL(1) 12 fe N₁ = 72 Figure 2 Load
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