The formula to calculate the Buoyant Force (B) is:
\[
B = \rho \times V \times g
\]
Where:
\( B \) is the buoyant force
\( \rho \) is the density of the fluid
\( V \) is the volume of the displaced fluid
\( g \) is the acceleration due to gravity
Definitions
Buoyancy: The force acting on an object in a fluid that prevents it from moving through the liquid or sinking. It is directly proportional to the density of the fluid and the volume of displaced fluid.
Density of Fluid (ρ): The mass per unit volume of the fluid.
Volume of Displaced Fluid (V): The volume of the fluid displaced by the object.
Acceleration due to Gravity (g): The acceleration experienced by an object due to the gravitational pull of the Earth, typically \( 9.81 \, \text{m/s}^2 \).
Example
Let's say the density of the fluid is 1000 kg/m³, the volume of displaced fluid is 0.5 m³, and the acceleration due to gravity is 9.81 m/s². Using the formula:
\[
B = 1000 \times 0.5 \times 9.81
\]
We get:
\[
B = 4905
\]
So, the buoyant force is 4905 N.
Extended information about "Buoyancy-Calculator"
Buoyancy Calculator for Boat
Definition: Buoyancy is the force that allows objects to float in a fluid. For boats, it is crucial to calculate buoyancy to ensure stability and safety.
Formula: \( F_b = \rho \cdot V \cdot g \)
\( F_b \): Buoyant force
\( \rho \): Density of the fluid
\( V \): Volume of the displaced fluid
\( g \): Acceleration due to gravity
Example: \( F_b = 1000 \cdot 2 \cdot 9.8 \)
\( \rho \): 1000 kg/m³ (density of water)
\( V \): 2 m³
\( g \): 9.8 m/s²
Buoyancy Calculator for Scuba
Definition: Buoyancy in scuba diving is essential for maintaining neutral buoyancy underwater.
Formula: \( F_b = \rho \cdot V \cdot g \)
\( F_b \): Buoyant force
\( \rho \): Density of the fluid
\( V \): Volume of the displaced fluid
\( g \): Acceleration due to gravity
Example: \( F_b = 1025 \cdot 0.05 \cdot 9.8 \)
\( \rho \): 1025 kg/m³ (density of seawater)
\( V \): 0.05 m³
\( g \): 9.8 m/s²
Buoyancy Calculator for Water
Definition: Buoyancy in water is the upward force exerted by the fluid that opposes the weight of an object immersed in it.
Formula: \( F_b = \rho \cdot V \cdot g \)
\( F_b \): Buoyant force
\( \rho \): Density of the fluid
\( V \): Volume of the displaced fluid
\( g \): Acceleration due to gravity
Example: \( F_b = 1000 \cdot 1 \cdot 9.8 \)
\( \rho \): 1000 kg/m³ (density of water)
\( V \): 1 m³
\( g \): 9.8 m/s²
Buoyancy Calculator for Physics
Definition: Buoyancy in physics is the force that causes objects to float or sink in a fluid.
Formula: \( F_b = \rho \cdot V \cdot g \)
\( F_b \): Buoyant force
\( \rho \): Density of the fluid
\( V \): Volume of the displaced fluid
\( g \): Acceleration due to gravity
Example: \( F_b = 850 \cdot 0.1 \cdot 9.8 \)
\( \rho \): 850 kg/m³ (density of oil)
\( V \): 0.1 m³
\( g \): 9.8 m/s²
Buoyancy Calculator for Diving
Definition: Buoyancy in diving is crucial for divers to control their ascent and descent in the water.
Formula: \( F_b = \rho \cdot V \cdot g \)
\( F_b \): Buoyant force
\( \rho \): Density of the fluid
\( V \): Volume of the displaced fluid
\( g \): Acceleration due to gravity
Example: \( F_b = 1025 \cdot 0.08 \cdot 9.8 \)
\( \rho \): 1025 kg/m³ (density of seawater)
\( V \): 0.08 m³
\( g \): 9.8 m/s²
Buoyancy Calculator for Fresh Water
Definition: Buoyancy in fresh water is the force that allows objects to float or sink in freshwater environments.
