Topic: Electronics Engineering
Natural frequency of a unity feedback control system of transfer function $G(s)=\frac{10}{s(s+1)}i\epsilon$
- A. $0.5~rad/sec$
- B. $3.16~rad/sec$
- C. $4.6~rad/sec$
- D. None of these
Answer: B. $3.16~rad/sec$
Explanation: $1+G(s)=0$
$1+\frac{10}{s(s+1)}=0 \Rightarrow s^{2}+s+10=0$
$\omega_{n}^{2}=10 \Rightarrow \omega_n = \sqrt{10}=3.16~rad/sec$