Resonant Frequency & Natural Frequency?

[dominicfhk]

Hello guys! Is it possible to convert a natural frequency to resonant frequency with maybe some kind of formula? I was given a transfer function and I was asked to draw a root locus plot and determine the resonant frequency. I know how to get the damping ratio and natural frequency and the value of K to make the system stable (by using the routh-hurwitz method), but I have no idea how to get the resonant frequency. Thank you so much!

 

[Simon Bridge]

The short answer is "yes" - recall that if the damping ratio is 0, the resonant frequency is the natural frequency: it follows that there is some relationship between the natural frequency, the resonant frequency, and the damping ratio.

You should have notes for these sorts of relationships - like the ringing frequency or the peak frequency.
One of these will be the one you want ;)