HYDRAULICS- Buoyancy

Archimedes’ Principle

The resultant upward pressure of a fluid on a floating body is equal to the weight of the liquid displaced by the body.

Buoyant Force

The resultant upward pressure of a fluid on an immersed body

Center of Buoyancy

The center of gravity of the volume of the liquid displaced by an immersed body.

Center of Buoyancy

Can be above or below the center of gravity of the submerged object

Zero

Value of horizontal component of buoyant force

Buoyant force

force acting upon in any weight, floating or immersed in a liquid

Buoyant Force

Equal to the weight of the liquid displaced

Center of Buoyancy

The point which buoyant force acts

Center of buoyancy

located at the center of gravity of the displaced liquid

Altering the shape

A way for a relatively denser object be made to float on the less dense fluid

Submerged

If γo > γliquid , the object will _____

Float

If γo < γliquid , the object will _____

Neutrally buoyant

The specific weight of the object is equals to the specific weight of the fluid

Buoyant force

Net vertical hydrostatic force acting on the submerged object

Weight of the object in liquid

Weight of object (Wair) minus Buoyang Force (BF)

Above

If the volume below the water is more than 50% of the total volume, the liquid surface is _______ the center of centroid of the object

Below

If the volume below the water is less than 50% of the total volume, the liquid surface is _______ the center of centroid of the object

At

If the volume below the water is equal to 50% of the total volume (0.5V), the liquid surface is _______ the center of centroid of the object

Less than

Weight in liquid is _____ than weight in air