According to Archimedes? principle, the buoyancy force is equal to the weight of

Question

According to Archimedes? principle, the buoyancy force

is equal to the weight of fluid displaced by the submerged

portion of the object. For the sphere depicted in Fig. P5.22,

use bisection to determine the height, h, of the portion that is

above water. Employ the following values for your computation:

r= 1 m,

?s= density of sphere= 200 kg/m3

, and ?w=density of water= 1,000 kg/m3

. Note that the volume of the

above-water portion of the sphere can be computed with

V =?h23(3r ?h). Use the bracketing method to solve problem 5.22

Explanation / Answer

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