electron near nucleus

1. The problem statement, all variables and given/known data
What is the magnitude of the electric field at a distance of 5.00 ×10−10 m from a radon nucleus?
=4.95×1011 N/C
What is the magnitude of the force on an electron at that distance?
=7.94×10-8 N
Now here is where I am getting stuck..
Treating the electron classically, that is, as a point object that can move around the nucleus at reasonably slow speeds, what is the period of the electron's motion? &
Again treating the electron classically, how fast it it moving?

2. Relevant equations
T=2Pi/omega
a=v^2/r
f=mr omega^2

3. The attempt at a solution

i tried solving for omega by plugging in the force, radius and mass of radon. then square rooting the answer. so ill have omega and then i take 2 pi over it right? for the period.. thats not working.
then i tried solving for the velocity by taking the force * radius / mass then square rooting that as well to find the velocity and that is wrong...

i dont know where i am going wrong.. any help would be great.

thanks!
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