The formula to calculate the Buoyancy Acceleration is:
\[ Ab = \frac{p \cdot V \cdot g - m \cdot g}{m} \]
Where:
Let's say the density of the fluid (p) is 1000 kg/m³, the volume of the fluid (V) is 0.5 m³, and the mass of the object (m) is 10 kg. The buoyancy acceleration would be calculated as follows:
\[ Ab = \frac{1000 \cdot 0.5 \cdot 9.81 - 10 \cdot 9.81}{10} \approx 480.7 \text{ m/s²} \]
So, the buoyancy acceleration is approximately 480.7 m/s².
The most common units for Buoyancy Acceleration are m/s².
Definition: The buoyant force is the upward force exerted by a fluid on an object immersed in it.
Formula: \( B = \rho \cdot V \cdot g \)
Example: \( B = 1000 \, \text{kg/m}^3 \times 0.5 \, \text{m}^3 \times 9.81 \, \text{m/s}^2 \)
Definition: The buoyancy of a boat is the force that allows it to float, determined by the volume of water it displaces.
Formula: \( B = \rho \cdot V \cdot g \)
Example: \( B = 1000 \, \text{kg/m}^3 \times 2 \, \text{m}^3 \times 9.81 \, \text{m/s}^2 \)
Definition: Buoyancy in the atmosphere is the force that allows objects less dense than air to float.
Formula: \( B = \rho \cdot V \cdot g \)
Example: \( B = 1.225 \, \text{kg/m}^3 \times 0.1 \, \text{m}^3 \times 9.81 \, \text{m/s}^2 \)
