Archimedes' Principle

Find out the buoyancy force exerted on an object in a fluid with this simple calculator.

Archimedes' force is a fundamental force in fluid mechanics. It acts on any body completely or partially submerged in a fluid (liquid or gas). It is named after the Greek scholar Archimedes who discovered it. The formula for this force is:

`F = rho * V * g`

  • F: Archimedes' force (in Newtons)
  • `rho`: Density of the fluid (in kg/m3)
  • V: Volume of the submerged part of the object (in m3)
  • g: Acceleration due to gravity (about 9.81 m/s2)

Concrete Examples

Here are some scenarios illustrating Archimedes' principle in action:

  1. Submerged cube: Imagine a cube with 10 cm edges (thus 0.001 m3 in volume) submerged in water (water density ≈ 1000 kg/m3). The Archimedes' force would be F = 1000 * 0.001 * 9.81 ≈ 9.81 N.
  2. Beach ball in water: Despite its large size, a beach ball floats because its overall density, considering the air it contains, is low.
  3. Submarine: By adjusting its ballast volume, a submarine can modulate its buoyancy to float on the water's surface or to submerge.

Real-World Applications

Archimedes' principle has numerous applications, such as:

  • Design of ships and submarines
  • Buoyancy calculations for diving equipment
  • Hydrological and environmental studies


What happens if the object is completely submerged?
Archimedes' force still acts, but the volume V will correspond to the total volume of the object.
Can Archimedes' force make all objects float?
No, it depends on the object's density relative to that of the fluid. If the object is less dense, it will float.
Does Archimedes' force apply in all fluids?
Yes, whether it's in water, oil, air, or any other fluid, this force is always present.
How does the object's density affect its buoyancy?
If the object's density is lower than that of the fluid, the object will float. If it is higher, the object will sink.

See also

Fluid Mechanics
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