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A system of a DC motor driving a load is shown in Figure Q.2a(i), where ea(t), ia(t), R₁ and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e (t) is proportional to a rotor speed, while the output torque Tm(t) developed by the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input OL(S) voltage, e(t) and the output angular displacement, 0₁(t), Ea(s)* La Ra ww -oooo² + ed(t) ia(t) еь(t) М M dt + NL,0L (t) H relle D Lf Nmm (t) Vf Figure Q.2a(i) JL BL 000 KL

A system of a DC motor driving a load is shown in Figure Q.2a(i), where ea(t), ia(t), R₁ and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e (t) is proportional to a rotor speed, while the output torque Tm(t) developed by the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input OL(S) voltage, e(t) and the output angular displacement, 0₁(t), Ea(s)* La Ra ww -oooo² + ed(t) ia(t) еь(t) М M dt + NL,0L (t) H relle D Lf Nmm (t) Vf Figure Q.2a(i) JL BL 000 KL

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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600 Nm NL Torque (N-m) Parameters Armature moment inertia, Ja Armature damping constant, Ba Armature resistor, Ra Armature inductor, La Load moment inertia, JL Load damping constant, B₁ Load spring constant, K₁ Gear ratio, ea = 100 25 Speed (rad/s) Figure Q.2a(ii) 4 SEEE/SKEE 3133 - FINAL EXAMINATION Table Q.2a @m Value 6 kg-m² 4 N-m-s-rad-¹ 1Ω Negligible 600 kg-m² 700 N-m-s-rad-¹ 1 N-m-rad-¹ 1 20
Transcribed Image Text:600 Nm NL Torque (N-m) Parameters Armature moment inertia, Ja Armature damping constant, Ba Armature resistor, Ra Armature inductor, La Load moment inertia, JL Load damping constant, B₁ Load spring constant, K₁ Gear ratio, ea = 100 25 Speed (rad/s) Figure Q.2a(ii) 4 SEEE/SKEE 3133 - FINAL EXAMINATION Table Q.2a @m Value 6 kg-m² 4 N-m-s-rad-¹ 1Ω Negligible 600 kg-m² 700 N-m-s-rad-¹ 1 N-m-rad-¹ 1 20
(a) A system of a DC motor driving a load is shown in Figure Q.2a(i), where e(t), ia(t), Ra and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e(t) is dom(t) proportional to a rotor speed, while the output torque Tm (t) developed by dt the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input voltage, e(t) and the output angular displacement, 0₁ (t), Ra ow + ed(t) La -mooo² + ia(t) e(t) M NL,0L (t) H elle रे Lif Nm0m (t) + Figure Q.2a(i) JL OL(S) Ea(s) BL KL
Transcribed Image Text:(a) A system of a DC motor driving a load is shown in Figure Q.2a(i), where e(t), ia(t), Ra and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e(t) is dom(t) proportional to a rotor speed, while the output torque Tm (t) developed by dt the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input voltage, e(t) and the output angular displacement, 0₁ (t), Ra ow + ed(t) La -mooo² + ia(t) e(t) M NL,0L (t) H elle रे Lif Nm0m (t) + Figure Q.2a(i) JL OL(S) Ea(s) BL KL
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