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The following data pertain to a torque sensing transducer connected to the shaft of an electric motor which drives a load: Input torque=sinusoidal with frequency varying at 1.95 rad/s; maximum permissible error = +8 ; moment of inertia of load J = 0.14 kg m²; torsional constant of the shaft q = 1.22 Nm/rad. Calculate: i. Natural frequency ii. Damping ratio iii. Damped natural frequency iv. Time constant of the system

The following data pertain to a torque sensing transducer connected to the shaft of an electric motor which drives a load: Input torque=sinusoidal with frequency varying at 1.95 rad/s; maximum permissible error = +8 ; moment of inertia of load J = 0.14 kg m²; torsional constant of the shaft q = 1.22 Nm/rad. Calculate: i. Natural frequency ii. Damping ratio iii. Damped natural frequency iv. Time constant of the system

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 following data pertain to a torque sensing transducer connected to the shaft of an electric motor which drives a load: Input torque=sinusoidal with frequency varying at 1.95 rad/s; maximum permissible error = +8 ; moment of inertia of load J = 0.14 kg m²; torsional constant of the shaft q = 1.22 Nm/rad. Calculate: i. Natural frequency ii. Damping ratio iii. Damped natural frequency iv. Time constant of the system
Transcribed Image Text:The following data pertain to a torque sensing transducer connected to the shaft of an electric motor which drives a load: Input torque=sinusoidal with frequency varying at 1.95 rad/s; maximum permissible error = +8 ; moment of inertia of load J = 0.14 kg m²; torsional constant of the shaft q = 1.22 Nm/rad. Calculate: i. Natural frequency ii. Damping ratio iii. Damped natural frequency iv. Time constant of the system
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