Chemical Engineering > GATE 2016 > Second Order System
For a unit step input, the response of a second order system is y(t) = K (1 - e^{-t/τ} - (t/τ) e^{-t/τ}) where, K is the steady state gain, τ is the damping coefficient, ω is the natural period of oscillation and φ is the phase lag. The overshoot of the system is exp (-π ζ / √(1 - ζ^2)). 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
(A) 15.9
B
(B) 50
C
(C) 63.2
D
(D) 100

Correct : mta

Similar Questions

Inhaling the smoke from a burning _________ could _________ you quickly.
#2 MCQ
A sphere of radius 𝑟 cm is packed in a box of cubical shape. What should be the minimum volume (in cm3 ) of the box that can enclose the sphere?
#3 MCQ
Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34...
#4 MCQ

Related Topics

second order system response unit step input natural period oscillation chemical engineering GATE 2016 overshoot system chemical engineering exam GATE chemical engineering 2016 period oscillation calculation

Unique Visitor Count

Total Unique Visitors

Loading......