Sunday, December 27, 2009

An object has neutral buoyancy when its density equals that of the liquid in which it is submerged, which mean?

An object has neutral buoyancy when its density equals that of the liquid in which it is submerged, which means that it neither floats nor sinks. If the average density of an 83 kg diver in a freshwater lake is 0.92 kg/L, what mass of lead should be added to give him neutral buoyancy?





_______kgAn object has neutral buoyancy when its density equals that of the liquid in which it is submerged, which mean?
Archimedes principle states that the buoyant force exerted by water is equal to the weight of water he displaces. Neutral buoyancy, when he neither sinks nor floats, occurs when the force of buoyancy equals the weight of the object in question. So how much water does the diver displace? You know his mass and density, and





D = M/V


which rearranged is





V = M/D





So you can calculate his volume. How much buoyant force is that? First look up the density of water in metric units. How much mass would a volume of water equal to that of the diver have? Use the above formula and solve for that mass, then multiply by gravity to get weight, this is the buoyant force. So how much weight do you have to add to the weight of the diver to equal this force?
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