Buoyancy Force (Archimedes)
Buoyancy Force (Archimedes)
Archimedes’ principle explains why ships float and submerged objects feel lighter: the fluid pushes up with the weight it displaces.
The buoyant force is F_b = ρ·g·V. where ρ is the fluid density, g gravity and V the displaced volume.
Inputs
rho := 1025 kg/m^3=1025 kg/m^3
g := 9.81 m/s^2=9.81 m/s^2
V := 0.5 m^3=0.5 m^3
Buoyant force equals the displaced fluid’s weight.
F_b := rho·g·V=5027.62 N
Results
Compare the buoyant force with the body’s weight: heavier sinks, lighter floats, equal means neutral buoyancy. This governs flotation, ballast and submerged-pipe design.
Assumptions & limitations
- Body fully submerged in a single fluid.
- Static fluid.
- Uniform fluid density.