Centre of Buoyancy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2
Bc = (d)/2
This formula uses 2 Variables
Variables Used
Centre of Buoyancy for Floating Body - (Measured in Meter) - Centre of Buoyancy for floating body is the center of the gravity of the volume of water which a body displaces.
Depth of Immersed Object in Water - (Measured in Meter) - Depth of immersed object in water is the distance from the top of fluids surface to the bottom of the immersed body or object.
STEP 1: Convert Input(s) to Base Unit
Depth of Immersed Object in Water: 1.05 Meter --> 1.05 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Bc = (d)/2 --> (1.05)/2
Evaluating ... ...
Bc = 0.525
STEP 3: Convert Result to Output's Unit
0.525 Meter --> No Conversion Required
FINAL ANSWER
0.525 Meter <-- Centre of Buoyancy for Floating Body
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has verified this Calculator and 100+ more calculators!

11 Buoyancy Calculators

Meta-centric height in experimental method
Go Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel)))
Angle of heel for metacentric height in experimental method
Go Angle of Heel = atan((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*Metacentric Height of Floating Body))
Movable weight for metacentric height in experimental method
Go Movable Weight on Floating Vessel = (Metacentric Height of Floating Body*Weight of Floating Vessel*tan(Angle of Heel))/(Distance Travelled by Weight on Vessel)
Time Period of Oscillation of Ship
Go Time Period of Oscillation of Floating Body = (2*pi)*(sqrt((Radius of Gyration of Floating Body^2)/(Metacentric Height of Floating Body*[g])))
Radius of gyration for metacentric height and time period of oscillation
Go Radius of Gyration of Floating Body = ((Time Period of Oscillation of Floating Body)*sqrt(Metacentric Height of Floating Body*[g]))/(2*pi)
Volume of body in fluid for metacentric height and BG
Go Volume of Body Submerged in Water = Moment of Inertia of Plain Floating Body/(Metacentric Height of Floating Body+Distance of CG from Center of Buoyancy)
Meta-centric height for time period of oscillation and radius of gyration
Go Metacentric Height of Floating Body = (4*(pi^2)*(Radius of Gyration of Floating Body^2))/((Time Period of Oscillation of Floating Body^2)*[g])
Archimedes Principle
Go Archimedes Principle = Density*Acceleration Due to Gravity*Velocity
Volume of fluid displaced
Go Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid)
Centre of Buoyancy
Go Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2
Buoyant Force
Go Buoyant Force = Pressure*Area

Centre of Buoyancy Formula

Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2
Bc = (d)/2

What is Buoyancy?

When a body is immersed in a fluid, an upward force is exerted by the fluid on the body. This upward force is called the force of buoyancy or simply buoyancy.

what is the relation between centre of buoyancy and centre of gravity here?

As the force of buoyancy is a vertical force and is equal to the weight of the fluid displaced by the body, the centre of buoyancy will be the centre of gravity of the fluid displaced.

How to Calculate Centre of Buoyancy?

Centre of Buoyancy calculator uses Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2 to calculate the Centre of Buoyancy for Floating Body, The Centre of Buoyancy is the point, through which the force of buoyancy is supposed to act. It is defined as half the depth of block in the fluid. Centre of Buoyancy for Floating Body is denoted by Bc symbol.

How to calculate Centre of Buoyancy using this online calculator? To use this online calculator for Centre of Buoyancy, enter Depth of Immersed Object in Water (d) and hit the calculate button. Here is how the Centre of Buoyancy calculation can be explained with given input values -> 0.525 = (1.05)/2.

FAQ

What is Centre of Buoyancy?
The Centre of Buoyancy is the point, through which the force of buoyancy is supposed to act. It is defined as half the depth of block in the fluid and is represented as Bc = (d)/2 or Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2. Depth of immersed object in water is the distance from the top of fluids surface to the bottom of the immersed body or object.
How to calculate Centre of Buoyancy?
The Centre of Buoyancy is the point, through which the force of buoyancy is supposed to act. It is defined as half the depth of block in the fluid is calculated using Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2. To calculate Centre of Buoyancy, you need Depth of Immersed Object in Water (d). With our tool, you need to enter the respective value for Depth of Immersed Object in Water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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