\[F_b = \rho g V\]
Variables
Fbbuoyant force (N)
rhofluid density (kg/m³)
ggravitational acceleration (m/s²)
Vdisplaced fluid volume (m³)
Description
What is this formula?
The buoyant force equation calculates the upward force exerted by a fluid on an immersed or floating object according to Archimedes' principle.
When to use it
Use this formula when analyzing floating bodies, submerged objects, ships, submarines, balloons, or fluid displacement problems.
Example
An object displaces 0.03 m³ of water with density 1000 kg/m³.
Data:
rho = 1000 kg/m³
g = 9.81 m/s²
V = 0.03 m³
Formula:
Fb = rho*g*V
Substitution:
Fb = 1000*9.81*0.03
Result:
Fb = 294.3 N
Applications
Naval engineering, fluid mechanics, marine systems, hydrodynamics, buoyancy analysis, and underwater engineering.