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odels Assume: -KA KtKe JmOm + (b+ e) Øm Ra = Kt Ra -Va⋅ Jm = 0.01 kg.m² b = 0.001 N. m.sec Ke = 0.02 V.sec K₁ = 0.02 N.m/A Ra = 10 (a) Find the transfer function between the applied voltage va and the motor speed 0m. (b) What is the steady state speed of the motor after a voltage vα = 10 V has been applied. (c) Find the transfer function between the applied voltage va and the shaft angle 0m.

odels Assume: -KA KtKe JmOm + (b+ e) Øm Ra = Kt Ra -Va⋅ Jm = 0.01 kg.m² b = 0.001 N. m.sec Ke = 0.02 V.sec K₁ = 0.02 N.m/A Ra = 10 (a) Find the transfer function between the applied voltage va and the motor speed 0m. (b) What is the steady state speed of the motor after a voltage vα = 10 V has been applied. (c) Find the transfer function between the applied voltage va and the shaft angle 0m.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The differential equation of a DC motor can be described by the following equation

  • Find the transfer function between the applied voltage ( Va)and the motor speed (thetadot m).
  • What is the steady state speed of the motor after a voltage (Va = 10V)  has been applied.
  • Find the transfer function between the applied voltage (Va) and the shaft angle (thetadot m) .
odels Assume: -KA KtKe JmOm + (b+ e) Øm Ra = Kt Ra -Va⋅ Jm = 0.01 kg.m² b = 0.001 N. m.sec Ke = 0.02 V.sec K₁ = 0.02 N.m/A Ra = 10 (a) Find the transfer function between the applied voltage va and the motor speed 0m. (b) What is the steady state speed of the motor after a voltage vα = 10 V has been applied. (c) Find the transfer function between the applied voltage va and the shaft angle 0m.
Transcribed Image Text:odels Assume: -KA KtKe JmOm + (b+ e) Øm Ra = Kt Ra -Va⋅ Jm = 0.01 kg.m² b = 0.001 N. m.sec Ke = 0.02 V.sec K₁ = 0.02 N.m/A Ra = 10 (a) Find the transfer function between the applied voltage va and the motor speed 0m. (b) What is the steady state speed of the motor after a voltage vα = 10 V has been applied. (c) Find the transfer function between the applied voltage va and the shaft angle 0m.
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