Q.11- Consider the positions servomechanism is shown in figure below. Assume the following numerical values for the system constant are. Kp=gain of potentiometer detector = 7.64 v/ rad, Kb= back e. m. f. constant =5.5*10-2 V/rad/sec K;= motor torque constant = 6*10-5 Nm/A C₁ = 4*10-2 Nm/ (rad /sec). Ra= armature winding resistant =20, Ka=Gain of amplifier =10 Jm=1*10-5 Kg.m². J₁=4.4*10-3 Kg.m² n = gear ratio=1/10, Neglect Cm and la Determine the natural frequency and damping ratio of the system. DOL Amp. %₂ men N₁ Lon
Q.11- Consider the positions servomechanism is shown in figure below. Assume the following numerical values for the system constant are. Kp=gain of potentiometer detector = 7.64 v/ rad, Kb= back e. m. f. constant =5.5*10-2 V/rad/sec K;= motor torque constant = 6*10-5 Nm/A C₁ = 4*10-2 Nm/ (rad /sec). Ra= armature winding resistant =20, Ka=Gain of amplifier =10 Jm=1*10-5 Kg.m². J₁=4.4*10-3 Kg.m² n = gear ratio=1/10, Neglect Cm and la Determine the natural frequency and damping ratio of the system. DOL Amp. %₂ men N₁ Lon
Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter53: The 555 Timer
Section: Chapter Questions
Problem 2RQ
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![Q.11 - Consider the positions servomechanism is shown in figure below. Assume the following
numerical values for the system constant are.
Kp = gain of potentiometer detector = 7.64 v/ rad,
Kb= back e. m. f. constant =5.5*10-2 V/rad/sec
K; = motor torque constant = 6*10–5 Nm/A
C = 4*10-2 Nm/ (rad /sec).
Determine the natural frequency and damping ratio of the system.
Ra = armature winding resistant =2 2,
Ka=Gain of amplifier = 10
Jm = 1*10-5 Kg.m2. J =4.4*103 Kg.m2
n = gear ratio=1/10, Neglect Cm and la
Amp. %₂
ဦးအောင်မျိုာနစ် နှစ်
DH
0050
constant
N₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc30d9b7b-fa5c-401f-84ef-0d20b4f83a73%2F1da769ac-af4c-4134-815d-26959fa22867%2Fb3x3bp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.11 - Consider the positions servomechanism is shown in figure below. Assume the following
numerical values for the system constant are.
Kp = gain of potentiometer detector = 7.64 v/ rad,
Kb= back e. m. f. constant =5.5*10-2 V/rad/sec
K; = motor torque constant = 6*10–5 Nm/A
C = 4*10-2 Nm/ (rad /sec).
Determine the natural frequency and damping ratio of the system.
Ra = armature winding resistant =2 2,
Ka=Gain of amplifier = 10
Jm = 1*10-5 Kg.m2. J =4.4*103 Kg.m2
n = gear ratio=1/10, Neglect Cm and la
Amp. %₂
ဦးအောင်မျိုာနစ် နှစ်
DH
0050
constant
N₁
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