## Essential University Physics: Volume 1 (3rd Edition)

We first must find the period: $T= 2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{.25}{3.3}}=1.7\ s$ We now find the change in time: $e^{\frac{-bt}{2m}}=e^{-1} \\ \frac{-bt}{2m}=-1 \\ t = \frac{2m}{b}=\frac{2(.25)}{8.4\times10^{-3}}=59.52 \ s$ Thus, the number of oscillations is: $n =\frac{59.52}{1.7}\approx\fbox{34}$