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Buoyancy Calculator

Provide the values of density and volume to this online buoyancy calculator and this hand tool will calculate the buoyancy force instantly.

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Buoyancy Calculator

Our buoyancy calculator lets you quickly determine the buoyant force acting on an object submerged in a fluid. Simply input the fluid’s density and the volume of the displaced fluid, and the calculator provides the result instantly.

What is Buoyancy?

Buoyancy is the upward force exerted by a fluid on an object when it is partially or fully submerged. This upward force is known as the buoyant force. Buoyancy explains why objects float or sink and is essential in designing ships, submarines, and hydraulic systems.

Determines whether objects float or sink in fluids.
Helps maintain stability of vessels like ships and submarines.
Used in underwater engineering and construction projects.
The magnitude depends on fluid density and displaced volume. Denser fluids increase the buoyant force, while lighter fluids reduce it.

How to Calculate Buoyant Force

The buoyant force can be calculated using the following formula:

Buoyant Force (B) = ρ × V × g

Where:

ρ = density of the fluid (kg/m³)
V = volume of the displaced fluid (m³)
g = acceleration due to gravity (m/s²)

You can also use our buoyancy calculator to compute this instantly. By default, the calculator uses g = 9.81 m/s², but this can be adjusted.

Example:

Consider an object with mass 12 kg and density 0.5 kg/m³ submerged in a fluid. Find the buoyant force acting on it.

Solution:

Step 1: Calculate the object’s volume:
V = m / ρ = 12 / 0.5 = 24 m³

Step 2: Apply the buoyant force formula:
B = ρ × V × g = 0.5 × 24 × 9.8 = 117.6 N

How the Buoyancy Calculator Works

Inputs:

Density of the fluid (ρ)
Volume of displaced fluid (V)
Acceleration due to gravity (g)

Output:

Buoyant force in Newtons (N)
Step-by-step calculation details

Density of Common Fluids

Fluid	Density (kg/m³)
Air	1
Water	998
Sea Water	1020–1050
Cooking Oil	910–920
Milk	1020–1050
Fuel Oil	980

FAQs

What is the SI unit of buoyant force?

The SI unit of buoyant force is the Newton (N).

What causes buoyancy?

Buoyancy occurs because fluid pressure increases with depth, creating an upward force on submerged objects.

What is the buoyancy rule?

According to Archimedes’ principle: “The upward buoyant force on an object is equal to the weight of the fluid displaced by the object.” Learn more about center of mass.

What is the buoyant force on a floating object?

The buoyant force equals the weight of the fluid displaced. Denser fluids require less displaced volume for the object to float.

Does buoyancy depend on volume?

Yes, the buoyant force is directly proportional to the submerged volume. Larger volumes displace more fluid, producing a greater force.

References:

From LambdaGeeks: Calculation of Buoyant Force: Examples & Facts. From Wikipedia: Buoyancy Force – Archimedes' Principle.

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