$[0/1$ Points$]$

OSUNIPHYS$111.$P$\mathrm{.}093.$

A satellite in the shape of a solid sphere of mass $1,700kg$ and radius $4\mathrm{.}6$ m is spinning about an axis through its center of mass. It has a rotation rate of $8\mathrm{.}0re\frac{v}{s}.$ Two antennas deploy in the plane of rotation extending from the center of mass of the satellite. Each antenna can be approximated as a rod of mass $160\mathrm{.}0$ kg and length $6\mathrm{.}6$ m $.$ What is the new rotation rate of the satellite $($in rev$/$s$)?($Assume the remaining mass of the satellite after the antennas deploy can still be modeled as a solid sphere.$)$

rev$/$s