Natural frequency of oscillations of the following transfer function is \(\frac{C(s){R(s)} = \frac{1}{(s^2 + 0.5s + 1)}\):}
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Always look directly at the constant term in the denominator of a normalized second-order system (where the coefficient of \(s^2\) is 1). The square root of that constant term is your natural frequency \(\omega_n\). Here, \(\sqrt{1} = 1\), which takes less than two seconds to identify!