A horizontal spring system has a spring with constant $610$ N$/$m and a block of mass $8\mathrm{.}17$ kg$,$ lying on a frictionless surface, attached to the free end. The block is pulled a short distance from equilibrium and released. Calculate the following.

$($a$)$ the angular frequency

rad$/$s

$($b$)$ the frequency

Hz

$($c$)$ the period of the oscillating spring system

s