Question

a series rlc circuit as a resistance of 6.0 ohm capacitenace of 5882 mf and inductance of 100mH. what is the y location in rad/sec of the pole s1?

Answer 1

The $y$ pole position $S_1$ will be equal to the cyclic frequency $\omega =\frac {1} {\sqrt {L\times C}} =\frac {1} {\sqrt {100\times 10 ^ {-3 }\times 5882\times 10 ^ {-3}}}=1.3$  rad/sec.