This is the equation I was using. The mistake I made was putting the value for 1/(4\Pi \epsilon_{0}) = 8.99*10^9 in the denominator of my calculation, instead of the numerator where it should go.
I'm trying to solve this problem correctly, but my calculations yield a different result than the correct answer according to my professor.
In a semi-classical model of the neutral hydrogen atom, an electron of charge -e and of mass 9.1*10^-31 undergoes uniform circular motion around the much...