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    Buoyancy Calculator

    Calculate buoyant force, determine if objects float or sink, and understand Archimedes' Principle

    Quick examples:
    Quick examples:

    1 L = 0.001 m³

    Common Object Densities (kg/m³)

    Ice: 917Wood (Oak): 750Cork: 240Human Body: 1010Aluminum: 2700Iron/Steel: 7850Gold: 19320Styrofoam: 50

    Current object density: 800.0 kg/m³

    Force Diagram

    Weight (W)Buoyant Force (Fb)
    Object Floats
    80.0% submerged
    7.848 N
    Buoyant Force
    7.848 N
    Object Weight
    0 N
    Net Force

    Analysis

    800.00 kg/m³
    Object Density
    0.8000
    Submerged Fraction
    0.8000 L
    Volume Submerged
    -1.9620 N
    Apparent Weight (fully submerged)

    Floating Object Details

    Volume above fluid:0.2000 L
    Volume Submerged:0.8000 L
    Percent submerged:80.0%

    Buoyancy Formulas

    Buoyant Force: Fb = ρ_fluid × V_displaced × g
    Object Weight: W = m × g = ρ_object × V × g
    Floats when: ρ_object < ρ_fluid
    Submerged Fraction (floating): V_sub/V_total = ρ_object/ρ_fluid
    Apparent Weight: W_apparent = W - Fb

    Archimedes' Principle: The buoyant force on an object equals the weight of the fluid displaced by the object.

    Understanding Buoyancy

    This calculator helps you understand buoyancy and Archimedes' Principle by calculating forces on objects in fluids. Enter an object's volume and mass, choose a fluid, and see whether the object will float or sink.

    Key Concepts

    • Buoyant Force: The upward force exerted by a fluid on an immersed object, equal to the weight of displaced fluid
    • Floating: Objects float when their density is less than the fluid's density, with only part of the object submerged
    • Sinking: Objects sink when their density exceeds the fluid's density
    • Neutral Buoyancy: When object and fluid densities are equal, the object remains suspended at any depth

    Real-World Applications

    • Ship Design: Engineers use buoyancy principles to design vessels that displace enough water to support their weight
    • Submarine Operation: Submarines adjust their buoyancy by filling or emptying ballast tanks to dive or surface
    • Hot Air Balloons: Balloons float in air because heated air inside is less dense than surrounding cool air
    • Scuba Diving: Divers adjust their buoyancy using weight belts and buoyancy control devices (BCDs)

    Tips for Using This Tool

    • Try different fluid presets to see how objects behave in water, oil, honey, or even air
    • Use the common object density reference to understand which materials float or sink in water
    • For floating objects, the submerged fraction equals the ratio of object density to fluid density