SI Unit Graph

I was helping some one with some physics homework and drawing analgoues between physical properties. For instance, electromagnetism acts similarly to gravitation when you consider potential energy and fields. I questioned how right this was based on the units.

I made a graph of most of the SI dervied units (well, I used Coulombs as a base instead of Amperes) based on their relationships. For instance, velocity is the derivative of displacement with respect to time, electric potential is the derivative of magnetic flux with respect to time and sound impeadance is the derivative of dynamic viscosity with respect to displacement. It's all very confusing.

There were several units that became needed to act as pivots to connect other units, but I cannot find any physical meaning for them. They are kg/m² s, kg/s, kg m/C s, kg m²/s, kg m, cd/m. They may have no purpose in life.

SI Unit Graph