Deriving Archimedes' constant and a modified formula for buoyant force

Archimedes' Principle Revisited: A Study of the Buoyancy Constant. This research investigates the potential deviations of the buoyancy constant (σ) from unity in Archimedes' principle. By examining theoretical models, we aim to determine the accurate value of σ under varying conditions, such as temperature and pressure. The findings of this study have implications for various fields, including fluid mechanics, hydrodynamics, and naval architecture.