Buoyancy Force
Let's do a simple experiment. Go to a public pool and swim. While underwater, we can notice that shifting our entire body's weight is easy. This is due to a phenomenon known as buoyant force, which we can experience in the water. It is a fluid's upward power. When it comes to pressure in a fluid, buoyancy is a simple term to understand. Increases pressure with depth in a fluid, whether it's a gas or a liquid.
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Buoyancy, according to Archimedes, is the upward force felt by the body when it is partly or completely submerged in a substance. It refers to the liquid's upward energy. B or FB is the symbol for buoyancy.
It's a two-dimensional vector quantity of both magnitude and direction. The Newton [N] is the unit of buoyancy. Buoyancy is the result of a change in pressure. The pressure is highest at the bottom of the object and gradually reduces as we climb higher. The object is pushed up by the pressure at the bottom and down by the pressure at the top. The object's net force is directed upwards.
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As a result, buoyancy is the Archimedes phenomenon, which states that when an object is fully or partly immersed in a liquid, it experiences an upward force.
The upthrust force formula, buoyant force formula, or Archimedes principle formula all are the same.
The buoyant force that acts on an object in water is equal to the weight of the water displaced by the object. Any object that is in water has some buoyancy force pushing up against gravity, which means that any object in water loses some weight.
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Buoyant Force Formula
The formula of buoyancy force with the following Archimedes principle equation:
\[F_{b} = -(\rho \times V \times g)\]
B: Buoyant force
\[{\rho}\] :Density of the liquid
V: Volume of the displaced liquid.
g: Gravitational acceleration in \[m/s^{2}\].
Buoyant force equation in terms of pressure is given as:
\[F_{b} = P \times A\]
Where,
\[{F_{b}}\]: Buoyant force
P: Pressure
A: Area
Using area, height and volume, the buoyant force formula is:
\[F_{b} = \rho \times g \times h \times A\]
Where,
\[{F_{b}}\]: Buoyant force
\[{\rho}\]: Density of the liquid
h: The height of the immersed part.
g: Gravitational acceleration in \[m/s^{2}\].
A: Area
Solved Examples
Ex.1. An ice cube of density \[0.7g~cm^{-3}\] has a Buoyant force of 12 N. It is immersed in water. Calculate the volume of the ice cube.
Solution:
The density of ice, \[\rho = 0.7g~cm^{-3}\]
Buoyant force
\[F_{b} = 12N\]
By using the buoyant force formula we get,
\[F_{b} = (\rho \times V \times g)\]
\[ V =\frac{F_{b}}{(\rho \times g)}\]
Putting the values we get,
\[ V =\frac{12}{(9.8 \times 0.7 \times 10^{-3})}\]
\[ V =\frac{12}{(0.00686)}\]
\[V = 1749.27~cm^{3}\]
Thus the volume is \[1749.27~cm^{3}\].
FAQs on Buoyancy Formula
1. How do you find the buoyancy force of a floating object?
When an item is submerged in a fluid, its weight exerts downward pressure on the fluid (liquid or gas), while an upward buoyant force exerts upward pressure on the item, operating against gravity.
The buoyancy formula for the floating object is estimated by using the equation \[F_{b} = (\rho \times V \times g)\], where \[F_{b}\] is the buoyancy force acting on the item, V is the item's submerged volume, \[\rho\] is the density of the fluid the item is immersed in, and g is the gravitational force.
2. What are the 3 types of buoyancy?
Positive buoyancy, negative buoyancy, and neutral buoyancy are the three forms of buoyancy.
The thing floats due to positive buoyancy, which occurs when the submerged item is lighter than the fluid displaced.
3. What is the buoyant force of water?
The buoyant force acting on a floating item is equal to the weight of the water displaced by the item. Any item in water has a buoyant force that opposes gravity, causing it to lose weight. Hence the buoyancy formula in water is \[F_{b} = (\rho \times V \times g)\], where \[F_{b}\] is the buoyancy force acting on the item, V is the item's submerged volume, \[\rho\] is the density of the fluid the item is immersed in, and g is the gravitational force.
