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Automatic Control Systems

Q1:

For a second order system damping factor is 0.1. If ωd is frequency of damped oscillations and ωn is natural frequency, then

A ωd ≈ ωn

B

C .root { background-image: url(/_files/images/chemical-engineering/common/root.gif); background-position: top left; background-repeat: no-repeat; padding-left: 10px; padding-top: 1px; }
ωn ≈ ωn

D ωd ≈ (ωn)2

ANS:A - ωd ≈ ωn

ωd = ωn(1 - 0.1)2 ⋍ ωn



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