# Archimedes Law in Simple Words

In other words, the mass of the body is equal to the mass of water displaced by the body. This can be visualized in simple physical terms. Imagine that the underwater part of the floater is replaced by a weightless membrane filled with water of the same density as the one in which the body floats at the level of the free surface. As for water, the membrane does not need to exist, there is a state of equilibrium and the forces on the skin must be balanced. If this volume of fluid is replaced by a solid body of the same shape, the force that the liquid exerts on it must be exactly the same as above. In other words, the “buoyancy force” on a submerged body is directed in the direction opposite to gravity and is of the same size as already mentioned, the effective axial load is a fictitious load, with the exception of a single point in a case rope, the upper tip of the rope. So why does someone use it? Most likely, because it`s so simple, but more troubling is the possibility that they don`t understand what it is. As for its simplicity, yes, but let`s consider a case where the liquid inside the case is different from the liquid in the ring. How does this affect our simple buoyancy factor equation above? Clearly, the effective axial load is not useful for determining the axial load in the construction of the housing, because it does not give us the axial load! Does the effective axial load have any advantage? The answer to this question is categorical, yes.

It is used to determine the neutral stability point for lateral buckling in pipe ropes. It has been used correctly for many years to calculate the length of drill sleeves needed to prevent lateral buckling in the drill pipe. We will discuss side buckling in Chapter 6, and we will also see Appendix A for a more detailed discussion of buoyancy. Archimedes` principle makes it possible to calculate the buoyancy of a floating object partially or completely immersed in a liquid. The downward force on the object is simply its weight. The ascending or floating force on the object is the one that establishes Archimedes` principle above. Thus, the net force on the object is the difference between the quantities of the buoyancy force and its weight. If this net force is positive, the object increases; If it is negative, the object sinks; And if zero is zero, the object is neutrally floating – that is, it stays in place without going up or down. Simply put, Archimedes` principle states that when a body is partially or completely immersed in a liquid, it undergoes an apparent weight loss equal to the weight of the fluid displaced by the submerged part(s) of the body(s). The weight of the displaced liquid is directly proportional to the volume of the displaced liquid (if the surrounding liquid has a uniform density).

The weight of the object in the liquid is reduced due to the force acting on it, called buoyancy. In simple terms, the principle states that the buoyancy force (Fb) on an object is equal to the weight of the liquid displaced by the object or the density (ρ) of the liquid multiplied by the submerged volume (V) multiplied by gravity (g)[1][3] In a simple form, Archimedes` law states that the buoyancy force on an object is equal to the weight of the liquid moved by the object. In other words, for an object that floats on a liquid surface (such as a boat) or floats immersed in a liquid (such as a submarine in the water or an airship), the weight of the displaced liquid is equal to the weight of the object. Thus, it is only in the particular case of hovering that the buoyancy force acting on an object corresponds to the weight of the object. Consider a 1-ton solid iron block. Since iron is almost eight times denser than water, it only moves 1/8 ton of water when submerged, which is not enough to keep it afloat. Suppose the same block of iron is turned into a bowl. It still weighs 1 ton, but when given in water, it moves a greater amount of water than if it were a block. The deeper the iron shell is immersed, the more water moves it and the greater the buoyancy force that acts on it. If the buoyancy force is 1 ton, it does not decrease further. Figure 10.45.

Floating blocks sheathed with polyurethane fiberglass and simply painted. Polyisocyanin foams (or “trimer foams”) are generally low-density foams of insulating quality, usually produced in large blocks by a continuous extrusion process. These blocks are then passed through cutting machines to make sheets and other shapes. ROV manufacturers typically cut, shape, and grind these inexpensive foams and then cover them with a fiberglass lid or thick coat of paint to improve resistance to abrasion and water penetration. These elastic foam blocks were tested at depths of 1000 feet of seawater (fsw) (305 m) and proved to be a cost-effective and efficient flotation system for shallow water applications (Figure 10.45). The effective axial load as we define it is calculated according to Archimedes` principle, in which the buoyancy force is equal to the weight of a liquid displaced by the submerged part of a body. For the sake of simplicity, we use a buoyancy factor, kb, based on the difference in density between that of the body and the fluid. The buoyancy factor multiplied by the weight of the housing in the air gives the buoyancy weight of the case. where F has {displaystyle F_{a}} is the buoyancy force exerted on the submerged object, ρ {displaystyle rho } is the density of the liquid, V {displaystyle V} is the volume of the displaced liquid and g {displaystyle g} is the acceleration due to gravity. Thus, objects with a larger volume under completely submerged objects of equal masses have greater buoyancy.

When a boat moves a weight of water equal to its own weight, it floats. This is often referred to as the “flotation principle”: a floating object moves a liquid weight that corresponds to its own weight. Each ship, submarine and airship shall be so designed as to move a liquid weight at least equal to its own weight. The hull of a 10,000-ton ship must be wide enough, long enough and deep enough to move 10,000 tons of water while having a hull above the water to prevent it from sinking. It needs an extra hull to fight the waves that would otherwise fill and submerge it by increasing its mass. The same goes for ships in the air: a 100-ton airship must move 100 tons of air. When it moves more, it rises; If it moves less, it falls. If the airship moves its weight exactly, it floats at a constant height. Polyisocyanurate foams have excellent insulating value, good compressive strength properties and temperature resistance up to 300°F. They are produced in large quantities at densities between 1.8 and 6 lbs per cubic foot and are relatively inexpensive.

Their rigid and brittle consistency and tendency to dust during sanding (fragility) can be used to identify these foams. One method of estimating Deq is to average the three-dimensional length of the particle, known as particle shape dimensions (Bagheri et al., 2015 and references therein).