Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
3. A unit-step torque (i.e. T(t) = Uatep(t) N-m) is applied to the rotational dynamic system shown below. The resulting angular velocity is provided in the graph. a. Provide an estimate for the transfer function relating the angular displacement to the applied torque. b. Find the parameters, J, and D, for the system T(t) 0(t) J

3. A unit-step torque (i.e. T(t) = Uatep(t) N-m) is applied to the rotational dynamic system shown below. The resulting angular velocity is provided in the graph. a. Provide an estimate for the transfer function relating the angular displacement to the applied torque. b. Find the parameters, J, and D, for the system T(t) 0(t) J

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...
See similar textbooks
icon
Related questions
Question
100%

Please solve with steps

### Step Response Analysis This graph illustrates the step response of a system, showing how the output, denoted as \(\omega(t)\) in radians per second, changes over time \(t\) in seconds. #### Key Details: - **Horizontal Axis (t, [sec])**: Represents time in seconds. - **Vertical Axis (\(\omega(t)\), [rad/s])**: Represents the system's output in radians per second. - **Response Curve**: The blue curve depicts how the system's output responds to a step input over time. - **Final Value**: The output approaches a steady-state value of approximately 125 rad/s. - **Rise Time (Tr)**: Marked on the graph as 0.20 seconds, indicating the time taken for the output to rise from 0 to its steady-state value. This step response graph is commonly used in control systems to analyze the stability and performance of a system after a disturbance. The quick rise to its final value suggests a fast system response with minimal overshoot.
Transcribed Image Text:### Step Response Analysis This graph illustrates the step response of a system, showing how the output, denoted as \(\omega(t)\) in radians per second, changes over time \(t\) in seconds. #### Key Details: - **Horizontal Axis (t, [sec])**: Represents time in seconds. - **Vertical Axis (\(\omega(t)\), [rad/s])**: Represents the system's output in radians per second. - **Response Curve**: The blue curve depicts how the system's output responds to a step input over time. - **Final Value**: The output approaches a steady-state value of approximately 125 rad/s. - **Rise Time (Tr)**: Marked on the graph as 0.20 seconds, indicating the time taken for the output to rise from 0 to its steady-state value. This step response graph is commonly used in control systems to analyze the stability and performance of a system after a disturbance. The quick rise to its final value suggests a fast system response with minimal overshoot.
**Rotational Dynamics Problem** 3. A unit-step torque (i.e. \( T(t) = u_{\text{step}}(t) \, \text{N-m} \)) is applied to the rotational dynamic system shown below. The resulting angular velocity is provided in the graph. a. Provide an estimate for the transfer function relating the angular displacement to the applied torque. b. Find the parameters \( J \), and \( D \), for the system. **Diagram Explanation** - The diagram depicts a rotational dynamic system where a torque \( T(t) \) is applied. The system consists of a block labeled \( J \), representing the moment of inertia, connected to a damping element \( D \). - \( \theta(t) \) represents the angular displacement resulting from the applied torque. - The damping element \( D \) is shown connected to the system, indicating the resistive force acting against the rotation. This setup typically models how the angular displacement and velocity respond over time to the applied torque. Further analysis of the system's response can reveal the system's transfer function and key parameters such as the moment of inertia \( J \) and damping coefficient \( D \).
Transcribed Image Text:**Rotational Dynamics Problem** 3. A unit-step torque (i.e. \( T(t) = u_{\text{step}}(t) \, \text{N-m} \)) is applied to the rotational dynamic system shown below. The resulting angular velocity is provided in the graph. a. Provide an estimate for the transfer function relating the angular displacement to the applied torque. b. Find the parameters \( J \), and \( D \), for the system. **Diagram Explanation** - The diagram depicts a rotational dynamic system where a torque \( T(t) \) is applied. The system consists of a block labeled \( J \), representing the moment of inertia, connected to a damping element \( D \). - \( \theta(t) \) represents the angular displacement resulting from the applied torque. - The damping element \( D \) is shown connected to the system, indicating the resistive force acting against the rotation. This setup typically models how the angular displacement and velocity respond over time to the applied torque. Further analysis of the system's response can reveal the system's transfer function and key parameters such as the moment of inertia \( J \) and damping coefficient \( D \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mathematical Modeling of Mechanical System
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS