How damped harmonic oscillator affects period

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p3forlife
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I have trouble understanding how damping affects the period (of a torsion pendulum). I know that damping affects the amplitude of the oscillator, however how would damping change the period then?

I have a feeling this has to do with angular frequency, w, given by:

w = sqrt( (k/m) - (b^2/4m^2) )
where k is the torsion constant
b is the damping constant
m is the mass on the pendulum

Since the period is the inverse of frequency, would the inverse of the above equation answer my question?
 
Yes, as long as you ensure that the units are right.