# Buoyant Force Calculator - Weight of Displaced Liquid

This online tool allows you to calculate the buoyant force and weight of the liquid displaced by a submerged object in water.

### Using the Calculator

To utilize the Buoyant Force Calculator, simply enter the volume of the body submerged in water (in cubic meters), the density of the liquid (in kilograms per cubic meter), and optionally adjust the acceleration of gravity to match different environmental conditions. The calculator provides default values for convenience, set to 0.01 cubic meters for the volume, 1000 kilograms per cubic meter for the liquid density (water), and Earth's gravity as the default acceleration.

Once you've entered the required values, click the "Calculate" button. The calculator will compute two important results:

• Buoyant Force: This is the upward force exerted by the liquid on the submerged object. It is expressed in newtons (N) and represents the force necessary to counteract the weight of the liquid displaced by the object.

• Weight of Displaced Liquid: This is the weight of the liquid displaced by the submerged object. It is calculated by multiplying the volume of the body submerged in water by the density of the liquid. The weight is given in kilograms (kg).

These outputs provide valuable insights into the forces at play and help you understand the behavior of submerged objects in fluid environments. For more detailed information and theoretical background, refer to the "Understanding Buoyancy with Archimedes' Principle" section below. #### The buoyant force

Digits after the decimal point: 2
Buoyant force (N)

Weight of liquid (kg)

### Understanding Buoyancy with Archimedes' Principle

At the heart of this calculator lies Archimedes' principle, which states that the buoyant force experienced by a submerged object is equal to the weight of the liquid displaced by the object. Mathematically, it can be represented as:

When an object is immersed in a liquid, it experiences two opposing forces: the gravitational force acting downward (represented by or ) and the buoyant force acting upward. The behavior of the object depends on its density relative to the density of the liquid. If the object's density is greater, it will sink; otherwise, it will be pushed out of the liquid until the two forces balance. The portion of the object submerged in the liquid is proportional to the ratio of the liquid density to the object's density.

Moreover, the discrepancy between the actual weight and the apparent weight of the object is equal to the weight of the liquid displaced. This weight can be calculated by multiplying the volume of the submerged body by the density of the liquid.

Delve into the fascinating world of buoyancy and uncover the secrets of submerged objects with the Buoyant Force Calculator - Weight of Displaced Liquid. Gain a deeper understanding of the forces at play and enhance your knowledge of fluid dynamics.

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