# Buoyancy Formula

Buoyancy Formula – The Buoyancy Formula, which lifts an item upward in a fluid, is also equal to the weight of the fluid that the object has displaced. In the third century B.C., Archimedes made this discovery of the Buoyancy Formula. Buoyancy Formula is also known as the Archimedes Principle. It’s crucial to keep in mind that students are discussing fluids, which include both liquids and gases like water and air.

Imagine that a glass of water is full. If students add anything else, the water will spill over the top of the glass because it is already so full. The amount of water that flows out is the same volume as the item they put inside the container, if they were to collect it.

This is what experts mean by “displacing the fluid,” and it’s also a quick and easy approach to calculating the volume of an item with a strange form. So, rather than the weight of the object itself, the Buoyancy Formula is equal to the weight of this displaced fluid.

This indicates that an item will neither sink nor float if the weight of the object itself is equal to the buoyant force (the weight of the displaced fluid). The item will sink if its weight is greater than its Buoyancy Formula. Additionally, if an object has a lower weight than another, it will float and rise to the surface.

So when an item is fully or partially submerged in a liquid, it experiences an upward pull, according to a phenomenon described by Archimedes.

## Buoyancy Formula

Archimedes defined Buoyancy Formula as the upward force a body experiences when it is partially or completely submerged in a liquid. It is the liquid’s upward force at work. “B” or “$$F_b$$” stands for Buoyancy Formula.

It is a vector quantity with a magnitude and a direction.The Buoyancy Formula unit is the Newton [N]. The shift in pressure is what causes buoyancy. As we move upward, the pressure falls from its highest point at the bottom of the object. The object is pushed upward and downward by pressure from the bottom and upward by pressure from the top. The object’s net force pushes upward.

The ship that floats on the water is a common illustration of Buoyancy Formula.

### What is Buoyancy?

It is common knowledge that when swimming, our bodies feel light, and that when retrieving water from a well, a bucket seems lighter when partially or completely submerged. Our body experiences forces that are downward or in the opposite direction of the gravitational pull, which is the cause of this. The weight drops as a result of this. This is one of the factors that prevents the plastic balls from sinking in the water despite their weight.

The weight of an object submerged in a fluid is opposed by the upward force of the fluid. A submerged object always experiences higher pressure at its bottom than at its top. The net upward force on the object is caused by the difference in fluid pressure. Buoyancy Formula is the name for this upward force. Understanding density and relativity is required in order to fully comprehend Buoyancy Formula.

### Buoyant Force formula

The Buoyancy Formula is the upward force an object produces when it is partially or completely submerged in a fluid. When partially or completely submerged in fluid, a body will appear lighter due to the buoyant force.

If an object’s density is higher than the density of the liquid it is submerged in, it has a tendency to sink. However, if the object’s density is less than that of the liquid it is submerged in, it will float. To put it another way, a substance will float in water if its relative density is less than 1, while a substance will sink in water if its relative density is greater than

1. Buoyant force in terms of pressure is given as: $$F_{b} = PA$$ where $$F_{b}$$ is the buoyant force, $$P$$ is pressure, and $$A$$ is area.

However, $$F_{b} = F_{2} – F_{1}$$, where $$F_{2}$$ is the force acting upwards and $$F_{1}$$ is the force acting downwards.

Buoyant force in terms of area ($$A$$), height ($$h$$), and volume ($$V$$) is given by $$F_{b} = h_{2} \rho g – h_{1} \rho g$$, where $$\rho$$ is the density of the fluid, $$g$$ is gravity, $$V$$ is the volume of the immersed part, $$h$$ is the height of the immersed part, and $$A$$ is the area.

Buoyancy Formula Solved Example:

Example: An ice cube with a density of $$0.6 g cm^{-3}$$ experiences a buoyant force of 16 N when immersed in water. Calculate the volume of the ice cube.

Solution: Density of ice, $$\rho = 0.6 g cm^{-3}$$

Buoyant force, $$F_{b} = 16N$$

Now applying the formula: $$F_{b} = \rho \cdot g \cdot h \cdot A$$ and $$F_{b} = \rho \cdot g \cdot V$$, we can calculate the volume $$V = \frac{F_{b}}{\rho g}$$.

Putting the values, $$V = 2721 cm^3$$.

The volume of the ice cube is 2721 $$cm^3$$.

More examples are available on the Extramarks website and mobile application for students to practice and gain a thorough understanding of potential examination questions.

More such examples are available for student access on the Extramarks website and mobile application. Students can use them to practice better and to get a thorough idea of the kinds of questions they might get in their examinations.