# Archimedes' Principle - Interactive Simulation

Interactive simulation of buoyancy, density, and fluid displacement with floating/sinking behavior

> Canonical page: https://elysiatools.com/en/visualizations/archimedes-principle

- **Category:** Physics

## Overview

Interactive simulation of Archimedes' principle with buoyancy, density, and fluid displacement with floating/sinking behavior. Features comprehensive physics simulation: buoyancy force calculation F_b = ρ_fluid × V_displaced × g, gravity force F_g = m × g, net force F_net = F_b - F_g, and density comparison (ρ_object vs ρ_fluid). Real-time 2D physics animation: object drops into fluid with realistic motion dynamics, submerged volume calculation based on object position, buoyancy force proportional to displaced volume, drag force for realistic damping, and oscillation with damping to equilibrium. Three possible outcomes: floating (ρ_object < ρ_fluid), suspended (ρ_object = ρ_fluid), or sinking (ρ_object > ρ_fluid). Interactive controls: object mass (m: 0.1-50 kg), object volume (V: 0.001-0.1 m³), fluid density (ρ_fluid: 100-2000 kg/m³) with preset fluid types (water 1000, seawater 1260, oil 920, mercury 13600, air 1.2 kg/m³), and animation speed (0.1-3.0x). Real-time calculations display: object density (m/V), gravity force (m·g), displaced volume, buoyancy force (ρ·V·g), net force, and submerged percentage. Visual elements: fluid container with water surface, cube object with size proportional to volume, force vectors showing magnitude and direction (buoyancy: green upward, gravity: red downward, net force: purple), density comparison bars, water surface animation, and object reflection in water. Animation features: drop object to start simulation, realistic physics with drag and damping, automatic equilibrium detection, and force arrow scaling with magnitude. Educational content covering Archimedes' principle theory, buoyancy force calculation, density comparison and floating conditions, fluid displacement concept, and real-world applications (ships and boats, submarines, hot air balloons, hydrometers). Multi-language support (zh, en, fr, de, es, pt, ru, ja).

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