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A permanent magnet DC servomotor with the following motor parameters: Torque Constant: Back EMF Constant: Armature Resistance: Armature Inductance: Viscous Damping: Friction Torque: KT KE RA LA FM TE 3.0 x 10-² 3.0 x 10-² 4.0 6.0 0 0 (N-m)/A (V.s)/rad Ω mH (N.m.s)/rad N-m a) What is the steady-state no-load speed in RPM for an input of 12V? b) What is the motor torque under stall conditions for an input of 12V? c) Assuming that the motor is driving a purely inertial load that is significantly greater than the rotor inertia. Which motor parameter can be neglected to arrive at a first-order transfer function? d) Assume that the motor is being used as a generator and that the motor shaft is rotating at 2000 rpm. What is the open-circuit voltage across the motor terminals?

A permanent magnet DC servomotor with the following motor parameters: Torque Constant: Back EMF Constant: Armature Resistance: Armature Inductance: Viscous Damping: Friction Torque: KT KE RA LA FM TE 3.0 x 10-² 3.0 x 10-² 4.0 6.0 0 0 (N-m)/A (V.s)/rad Ω mH (N.m.s)/rad N-m a) What is the steady-state no-load speed in RPM for an input of 12V? b) What is the motor torque under stall conditions for an input of 12V? c) Assuming that the motor is driving a purely inertial load that is significantly greater than the rotor inertia. Which motor parameter can be neglected to arrive at a first-order transfer function? d) Assume that the motor is being used as a generator and that the motor shaft is rotating at 2000 rpm. What is the open-circuit voltage across the motor terminals?

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 7: A permanent magnet DC servomotor with the following motor parameters: Torque Constant: Back EMF Constant: KT KE Armature Resistance: RA Armature Inductance: LA Viscous Damping: FM Friction Torque: TE 3.0 x 10-² 3.0 x 10-² 4.0 6.0 0 0 (N-m)/A (V.s)/rad Ω mH (N.m.s)/rad N.m a) What is the steady-state no-load speed in RPM for an input of 12V? b) What is the motor torque under stall conditions for an input of 12V? c) Assuming that the motor is driving a purely inertial load that is significantly greater than the rotor inertia. Which motor parameter can be neglected to arrive at a first-order transfer function? d) Assume that the motor is being used as a generator and that the motor shaft is rotating at 2000 rpm. What is the open-circuit voltage across the motor terminals?
Transcribed Image Text:Problem 7: A permanent magnet DC servomotor with the following motor parameters: Torque Constant: Back EMF Constant: KT KE Armature Resistance: RA Armature Inductance: LA Viscous Damping: FM Friction Torque: TE 3.0 x 10-² 3.0 x 10-² 4.0 6.0 0 0 (N-m)/A (V.s)/rad Ω mH (N.m.s)/rad N.m a) What is the steady-state no-load speed in RPM for an input of 12V? b) What is the motor torque under stall conditions for an input of 12V? c) Assuming that the motor is driving a purely inertial load that is significantly greater than the rotor inertia. Which motor parameter can be neglected to arrive at a first-order transfer function? d) Assume that the motor is being used as a generator and that the motor shaft is rotating at 2000 rpm. What is the open-circuit voltage across the motor terminals?
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