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For a unit step input, the response of a second order system is
where, Kp is the steady state gain, ζ is the damping coefficient,  is the natural period of oscillation and φ is the phase lag. The overshoot of the system is exp  For a unit
step input, the response of the system from an initial steady state condition at t = 0 is shown in the figure below.
What is the natural period of oscillation (in seconds) of the system?
  • a)
    15.9
  • b)
    50
  • c)
    63.2
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a unit step input, the response of a second order system iswhere, ...
We can find ε from above equation
T – valve can be determined as the period between two peaks as 100
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For a unit step input, the response of a second order system iswhere, Kp is the steady state gain, ζ is the damping coefficient, is the natural period ofoscillation and φ is the phase lag. The overshoot of the system is expFor a unitstep input, the response of the system from an initial steady state condition at t = 0 is shown in thefigure below.What is the natural period of oscillation (in seconds) of the system?a)15.9b)50c)63.2d)100Correct answer is option 'A'. Can you explain this answer?
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For a unit step input, the response of a second order system iswhere, Kp is the steady state gain, ζ is the damping coefficient, is the natural period ofoscillation and φ is the phase lag. The overshoot of the system is expFor a unitstep input, the response of the system from an initial steady state condition at t = 0 is shown in thefigure below.What is the natural period of oscillation (in seconds) of the system?a)15.9b)50c)63.2d)100Correct answer is option 'A'. 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 For a unit step input, the response of a second order system iswhere, Kp is the steady state gain, ζ is the damping coefficient, is the natural period ofoscillation and φ is the phase lag. The overshoot of the system is expFor a unitstep input, the response of the system from an initial steady state condition at t = 0 is shown in thefigure below.What is the natural period of oscillation (in seconds) of the system?a)15.9b)50c)63.2d)100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a unit step input, the response of a second order system iswhere, Kp is the steady state gain, ζ is the damping coefficient, is the natural period ofoscillation and φ is the phase lag. The overshoot of the system is expFor a unitstep input, the response of the system from an initial steady state condition at t = 0 is shown in thefigure below.What is the natural period of oscillation (in seconds) of the system?a)15.9b)50c)63.2d)100Correct answer is option 'A'. Can you explain this answer?.
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