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For a second order system the undamped natural frequency is 3 rad/sec. and the damped frequency is 2.4 rad/sec. The damping ratio is

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VSSC ISRO Technical Assistant Electronics 14 July 2021 Official Paper
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  1. 0.6
  2. 0.4
  3. 0.25
  4. 0.8

Answer (Detailed Solution Below)

Option 1 : 0.6
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Detailed Solution

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Concept:

Damped natural frequency of a second order system is given by

\({ω _d} = {ω _n}\sqrt {1 - {\xi ^2}} \)

Where,

ωn = Natural frequency

ζ = Damping ratio

Calculation:

Given-

ωn = 3 rad/sec

Now, natural damped frequency can be calculated as

\({ω _d} = {3}\sqrt {1 - {(ζ )^2}} \)

ζ2 = 1 - (2.4/3)2

ζ = 0.6  

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