Damped SHM and period?

Homework Statement

I've been given (or have calculated) the equation for damped SHM of a spring, and have been told to calculate the period...

I'm given that:

Forced produced by damper: b(dx/dt) where b = 16N/ms
k = 344.5N/m
m = 2kg

Homework Equations

I know that T = 2*pi/(W0)

Where W0 = sqrt(k/m)

But I don't know if damping will have an effect of period? :)

The Attempt at a Solution

Of course, I have tried using the above equation... plug k and m as W0. Would this be correct? Thanks for any help.