calculate angular velocity (w) of an electron orbiting a proton in the (m) hydro

Question

calculate angular velocity (w) of an electron orbiting a proton in the (m) hydrogen atom, given the radius of the orbit is 0.530*10^-10m. You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
Do this using equations 1)a=rw^2. 2) f=ma. 3)f=k * (q1*q2/r) calculate angular velocity (w) of an electron orbiting a proton in the (m) hydrogen atom, given the radius of the orbit is 0.530*10^-10m. You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
Do this using equations 1)a=rw^2. 2) f=ma. 3)f=k * (q1*q2/r) calculate angular velocity (w) of an electron orbiting a proton in the (m) hydrogen atom, given the radius of the orbit is 0.530*10^-10m. You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
Do this using equations 1)a=rw^2. 2) f=ma. 3)f=k * (q1*q2/r)

Explanation / Answer

use Force equation as F= ma = = Kq1q2/r^2

so a = Kq1q2/(mr^2)

a = (9e9 * 1.6 e-19 *1.6 e -19)/(9.11 e-31 * 0.53 e -10* 0.53 e-10)

a = 9 e 22 m/s^2

now use accleration a = r W^2

so W^2 = a/r = 9.e 22/(0.53 e -10)

W^2 = 1.698 e 33

W = 4.12 e 16 rad/s ------------<<<<<<<<<<<<<<<<<Answer

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