I performed an experiment to take data on frequency of circular motion (f) and how it relates to the length (L) of a pendulum. In the experiment the pendulum is displaced through large angle to perform horizontal circle. Ten revolution is timed.
From the observation it is showing that the frequency, f, is inversely proportional to the length, L, of the pendulum, but directly proportional to the velocity, v, of the circular motion.
f--_ kV/L. Introducing f--_w/2pi and V--rw
f-- V/2pirL . From this equation frequency is inversely proportional to the radius, r,.
This mathematics from my experiment had implications on the atom and its electrons that: 1. Electrons close to the nucleus have high kinetic energy and they move at high velocity while those that are far have high potential energy and they move at low velocity. So, kinetic energy decreases as the radius increases. 2. It confirms the uncertainty principle which focuses on the position and momentum of the electrons and its location at a given time. Electrons close to the nucleus have large momentum so uncertainty of their position is high, but those electrons that are far from the nucleus have less momentum so uncertainty of their momentum is high. This is caused by the frequency of their circular motion. 3. The observation explain why the size and mass of atoms increase down a group in the periodic table because the radius of the atoms increases while the frequency of the circular motion of the electrons decreases. 4. The observation point to the fact that the mass and size of electrons depend on their distance from the nucleus , hence electrons in the same atom have varied masses, though the difference is insignificant and are of different sizes. So, electrons have size though they may be point--like particles.
I am still working on the experiment. This experiment explains some absurdities in the solar systems and its arrangement.
My name is Dzidza Mawuli Yao Emmanuel
From Ghana in West Africa. Living in Volta Region.
Teaching in Some Senior High School, Agbozume--Ketu South District.