Archimedes\' Principle (Density of Solids and Liquids) Object: Archimedes\' prin

Question

Archimedes' Principle (Density of Solids and Liquids) Object: Archimedes' principle Apparatus: Vernier calipers, hydrometer, cylinder, small soft brush and paper towels. To determine the density and specific gravity of sample solids and liquids, by the use of Suitable balance, beaker, solid samples, thread and sinker, liquid such as saturated salt solution, Theorv: Density (without adjective) is defined as mass per unit volume. Weight density means weight per unit volume. In c.g.s. units, density is in grams per cubic centimeter. The weight density (seldom used here) would be in what units? In English engineering practice, it is customary to specify the weight density; for fresh water this is about 62 1b/ft Specific Gravity is the ratio of the density of a substance to the density of water, or it is the ratio of the weight of a body to the weight of an equal volume of water. Since the density of water is very close to one gram/cm3 at ordinary temperatures, density and specific gravity are numerically equal in c.g.s. units. (Specific gravity, however, does not have dimensions) Archimedes' Principle (which is derivable from mechanics) states that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid. Consider now a body which sinks in water. If its true weight in air is W., while its apparent weight is Ww when it is hung from the balance by a thread, but submerged in water, then its buoyancy is (Wa-Ww). This buoyancy is due to a volume of water equal to the volume of the submerged solid. Hence, what is the specific gravity of the solid In Part 1, we use this method to obtain the specific gravity, and hence the c.g.s. density, of one or more regular and irregular solids. Bubbles should of course be brushed off the body before recording the weight in water. In the case of a regular solid, the result may be checked by computing the density using the mass divided by the volume. The loss of weight in water is (W - W1), where W is the weight in air and W1 is the weight in water. Thus the specific gravity "S" will be W- W In Part 2, the same method is used to find the specific gravity of a body that is less dense than water. A sinker must be used in this case. The specific gravity of a solid lighter than water, as obtained by the sinker method, is given by: where W is the weight of the solid in air; Wi is the weight of the solid and the sinker, with the sinker alone immersed; and W2 is the weight when both solids are immersed in water

Explanation / Answer

1)yes,Buoyant force is equal to upward force equal to weight of water displaced

2)if the volume of water displaced by solids are same ,then they will have same buoyant force

3)Apparent weight=0 as weight=buoyant force

4)if half submerged,volume displaced will be half so buoyant force is also half as compared to when fully submerged

5)it depends on

(i) density of fluid

(ii) acceleration due to gravity

(iii) volume of solid submerged in fluid

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