centre of buoyancy = 1/2 (y)
centre of gravity = 1/2 (H)
volume of cylinder pir2h
The formula for volume of a cylinder is (pi *r2 )h
Find the cross-sectional area of the cylinder (pi x the radius2), the multiply that by the height of the cylinder
The volume of a cylinder is calculated by using this formula:radius2 x Pi x length
Calculate as you would the surface of a cylinder who's height is the length of the central line of the pipe bend.(2*π*r*h)where:r is the (external) radius of the pipeπ is the constant 3.14159... andh is the length of the cylinder or the center-line of the pipe bend
You can change your center of buoyancy by adding weights to a different area.
The relationship between the center of buoyancy and the center of gravity in an object's stability in water is that for an object to be stable, the center of gravity must be located below the center of buoyancy. This ensures that the object will remain upright and not tip over in the water.
B=(pb-pt)a
Center of gravity is supposed to act at the centroid of the body. while center of buoyancy is the center of gravity of fluid displaced . so they cant be at single point. if the body is completely submerged and homogenous then both cg and cb will coincide
Formula for a cylinder is pi*radius2*height.
=pressure = Force/ Area=
Centre of mass is a convinient point where whole mass of the body is supposed to be acting and for bodies of small shape it concides with the geometrical centre. Centre of bouancy is the centre of the immersed portion of the body inside the liquid.
When the center of buoyancy is directly above the center of gravity a floating object is stable.
The compression ratio is calculated using the formula: [ \text{Compression Ratio} = \frac{\text{Volume of Cylinder at Bottom Dead Center (BDC)}}{\text{Volume of Cylinder at Top Dead Center (TDC)}} ] This ratio indicates how much the air-fuel mixture is compressed in the cylinder of an internal combustion engine, with a higher ratio generally leading to improved efficiency and power output.
The centre of buoyancy (COB) of an object is the centre of gravity (COG) of the water that is displaced when the object is submerged. So to calculate the COB of an object you first need to calculate the COG of the object and the mass of the object in order to find out how the object will sit in the water and the shape of the water it displaces. Once the shape of the displced water is known, then the COG of the displaced water is then the COB of the object. Easy no? The centre of buoyancy (COB) of an object is the centre of gravity (COG) of the water that is displaced when the object is submerged. So to calculate the COB of an object you first need to calculate the COG of the object and the mass of the object in order to find out how the object will sit in the water and the shape of the water it displaces. Once the shape of the displaced water is known, then the COG of the displaced water is then the COB of the object. Easy no?
For a right cylinder, the formula for volume is quite simple. It is pi times the radius of the cylinder squared times the height of the cylinder.
The cylinder will support, at neutral buoyancy, as much weight as the weight of water it could contain, less the weight of the cylinder itself.