In a popular carnival ride called The Centrifuge, shown above, riders stand against the inside wall of a large cylinder, which starts spinning. The radius of the circle traveled by the riders is $4\mathrm{.}1$ m$.$ The coefficient of static friction μ between a person's shirt and the wall of the ride is $0\mathrm{.}34.$ At what speed must the riders be moving to not slip downward when the floor lowers? To the nearest $0\mathrm{.}01$ m$/$s $($use $10$ m$/$s$$² for gravity$)$