$$ F_c = F_s $$
$$ \frac{mv^2}{r}= \mu_sn$$
>>Solving for r we have:
$$r= \frac{mv^2}{\mu_sn}=\frac{(96\text{ kg})(2.9\text{ m/s})^2}{(0.14)(96\text{ kg})(9.81\text{ m/s}^2)}$$
$$r=\frac{793.72 \text{ m}^2/\text{s}^2}{941.76 \text{ m/s}^2}$$
$$ \boxed{r= \bf{0.842 \text{ m} } }$$