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Q1): Consider the following third-order transfer function for open loop system: ?(?)?(?) =2 \ (? + ?. ??)(?...

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Mechanical Engineering

Q1): Consider the following third-order transferfunction for open loop system:

?(?)?(?) =2
\
(? + ?. ??)(? + ?. ??)(? + ?. ??)
By using the polar plot method, choose the correct answer for thefollowing:
1) When the (ω) equal to one, the magnitude of function is:
A) 1.808 B) 1.705 C) 1.642 D) 1.505
2) When the (ω) equal to five, the magnitude of function is:
A) 0.368 B) 0.344 C) 0.323 D) 0.312
3) When the (ω) equal to ten, the magnitude of function is:
A) 0.093 B) 0.091 C) 0.087 D) 0.081
4) When the (ω) equal to three, the phase angle of functionis:
A) -120.1 B) -118.6 C) -116.5 D) -114.9
5) When the (ω) equal to seven, the phase angle of functionis:
A) -177.9 B) -173.5 C) -170.3 D) -168.9
6) The gain margin of the system is approximately equal to:
A) 7.7 B) 7.2 C) 6.7 D) 6.4
7) The phase margin of the system is approximately equal to:
A) +76o B) +80o C) +84o D) +88o

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