Buoyant Force Calculation, Explained

Understanding Archimedes' Principle

Archimedes, the esteemed mathematician and physicist from Ancient Greece, famously discovered the principle of buoyancy, a fundamental principle in fluid mechanics. This principle elucidates that the buoyant force acting on an object submerged in a fluid is equivalent to the weight of the fluid displaced by the object. In essence, the submerged object experiences an upward force that counteracts the downward pull of gravity.

Formulaic Representation

The concept of buoyant force can be quantified through the following equation:

Buoyant Force (F_b) = Density of Fluid (ρ) × Acceleration Due to Gravity (g) × Volume of Displaced Fluid (V)

This formula serves as a powerful tool for calculating the buoyant force acting on an object. By understanding the interplay between the fluid density, the acceleration due to gravity, and the volume of displaced fluid, one can accurately determine the magnitude of the buoyant force.