Electron Motion Near Nucleus: Calculating Period and Velocity

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The discussion revolves around calculating the period and velocity of an electron moving near a radon nucleus, given the electric field and force acting on it. The user has correctly calculated the electric field and force but struggles with determining the angular frequency (omega) and subsequently the period and velocity of the electron's motion. They attempted to use the formulas for angular frequency and centripetal acceleration but are unsure where their calculations are failing. Clarification on the application of these equations and the correct values for mass and radius is needed. The user seeks assistance to resolve their confusion and complete the calculations accurately.
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Homework Statement


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?


Homework Equations


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


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.. that's 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 don't know where i am going wrong.. any help would be great.

thanks!
 
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