GATE Exam > GATE Questions > The impulse response of a second order under...
Start Learning for Free
The impulse response of a second order under damped system starting from rest is given by
C(t) = 12.5e-8tcos 6t
What are the responsive value of natural frequency and damping ratio of the system?
- a)10 & 0.6
- b)10 & 0.8
- c)8 & 0.6
- d)8 & 0.8
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The impulse response of a second order under damped system starting f...
Most Upvoted Answer
The impulse response of a second order under damped system starting f...
To find the natural frequency and damping ratio of the system, we need to analyze the given impulse response.
The general form of the impulse response for a second-order underdamped system is given by:
C(t) = A * e^(-ζωnt) * cos(ωdt)
Where:
- A is the amplitude of the response.
- ζ is the damping ratio.
- ωn is the natural frequency.
- ωd is the damped frequency.
Comparing the given impulse response C(t) = 12.5e^(-8t) * cos(6t) with the general form, we can see that:
- A = 12.5
- ζ = 8
- ωn = 6
Therefore, the responsive value of the natural frequency is 6 and the damping ratio is 8.
The general form of the impulse response for a second-order underdamped system is given by:
C(t) = A * e^(-ζωnt) * cos(ωdt)
Where:
- A is the amplitude of the response.
- ζ is the damping ratio.
- ωn is the natural frequency.
- ωd is the damped frequency.
Comparing the given impulse response C(t) = 12.5e^(-8t) * cos(6t) with the general form, we can see that:
- A = 12.5
- ζ = 8
- ωn = 6
Therefore, the responsive value of the natural frequency is 6 and the damping ratio is 8.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer?
Question Description
The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer?.
The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer?.
Solutions for The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The impulse response of a second order under damped system starting from rest is given byC(t) = 12.5e-8tcos 6tWhat are the responsive value of natural frequency and damping ratio of the system?a)10 & 0.6b)10 & 0.8c)8 & 0.6d)8 & 0.8Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup