Buoyancy Calculator

Calculate buoyant force and determine if objects float or sink. Apply Archimedes principle.

Fluid Type

Object Volume (m^3)(1 L = 0.001 m^3)

Object Mass (kg)

Fluid Density (kg/m^3)

Gravity (m/s^2)

Common Object Densities (kg/m^3)

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

Current object density: 800.0 kg/m^3

Force Diagram

Weight (W)Buoyant Force (Fb)

Object Floats

80.0% submerged

Forces

7.848N

Buoyant Force

7.848N

Object Weight

Net Force

Analysis

800.00 kg/m^3

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%

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

Buoyant Force: Fb = rho_fluid * V_displaced * g

Object Weight: W = m * g = rho_object * V * g

Floats when: rho_object < rho_fluid

Submerged Fraction (floating): V_sub/V_total = rho_object/rho_fluid

Apparent Weight: W_apparent = W - Fb

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