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Center Of Buoyancy Formula:
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The center of buoyancy is the centroid of the displaced volume of fluid by a submerged or floating body. It represents the point where the buoyant force acts on the object and is crucial for determining the stability of floating vessels.
The calculator uses the center of buoyancy formula:
Where:
Explanation: The equation calculates the weighted average depth of the displaced fluid volume, where the weight is the volume element at each depth.
Details: Accurate center of buoyancy calculation is essential for naval architecture and marine engineering to ensure vessel stability, prevent capsizing, and optimize hull design for various sea conditions.
Tips: Enter depth in meters, volume element in cubic meters, and total volume in cubic meters. All values must be positive numbers greater than zero.
Q1: What's the difference between center of buoyancy and center of gravity?
A: Center of buoyancy is the centroid of the displaced fluid, while center of gravity is the point where the weight of the object acts. Their relative positions determine stability.
Q2: How does center of buoyancy affect vessel stability?
A: When a vessel heels, the center of buoyancy shifts. If it moves to create a righting moment (above the center of gravity), the vessel is stable. If it moves to create a capsizing moment, the vessel is unstable.
Q3: Does center of buoyancy change with loading?
A: Yes, as a vessel is loaded, its draft changes, which alters the shape of the displaced water and consequently moves the center of buoyancy.
Q4: How is this calculation used in submarine design?
A: For submarines, precise calculation of center of buoyancy is critical for maintaining trim and stability during both surfaced and submerged operations.
Q5: What are typical CB values for different vessel types?
A: CB values vary significantly by vessel type. Container ships typically have CB around 0.6-0.7, while bulk carriers might have CB around 0.8-0.85, and naval vessels around 0.5-0.6.