The angular frequency of the damped oscillator is given by, \(\omega=\sqrt{\left(\frac{k}{m}-\fr...

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The angular frequency of the damped oscillator is given by, \(\omega=\sqrt{\left(\frac{k}{m}-\frac{r^2}{4 m^2}\right)}\) where \(k\) is the spring constant, \(m\) is the mass of the oscillator and \(r\) is the damping constant. If the ratio \(\frac{r^2}{ mk }\) is \(8 \%\), the change in time period compared to the undamped oscillator is approximately as follows:
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