How many revolutions per second does the electron make?

Question

In the Bohr model of the hydrogen atom, an electron ({\rm mass}\;m=9.1\; \times 10^{ - 31\;}{\rm kg}) orbits a proton at a distance of 5.3 \times 10^{ - 11\;}{\rm m}. The proton pulls on the electron with an electric force of 8.2 \times 10^{ - 8}\;{\rm N}.

Answer 1

Centripetal force = m omega^2 r

=

electrostatic attraction = F

Solve for the angular frequency:

omega = sqrt (F/ mr)

And your frequency is:

f = omega / 2pi

= sqrt (F/ mr) / 2pi

They give you the force, radius, and mass.  Plugnchug.