Part 5/10:
Kelvin's revelation to replace human calculations with mechanical ones led to the design of analog computers capable of automating tide predictions. He devised a series of machines first for additive functions using scotch yokes and then sought an integrator for the complex processes of tide decomposition. With his brother James, they designed a mechanical integrator leveraging a ball on a rotating disk to automatically sum contributions from multiple sine functions representing tidal frequencies. This significantly advanced the ability to predict tides and summarize tidal curves for various coastal locations.