PHYS 101 Lecture 6: Archimedes Principle continued
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Phys101 - lecture 6 - archimedes" principle (continued) ie. a spherical shell of iron weighs 6000 n in air. When fully immersed in water it weighs 4000 n. density of iron is 7870 kg/m3. V = vo - v = 0. 126 m3 ie. a cylindrical beaker (inside diameter 10 cm) is placed on top of a weigh scale and is filled with water to a height of 6 cm. The beaker has a mass of 150g (excluding the water) V = 0. 00785 (0. 06) = 4. 7 x 10-4 m3. M = (1000)(4. 7 x 10-4) = 0. 47 kg. Now a solid cylinder of radius 1 cm and height 5 cm, made of aluminum, is tied to a string and is lowered into the water until half of its length is submerged. Vcylinder = (0. 01)2 x (0. 05) = 1. 57 x 10-5 m3. Fb = w = vcylinder/2 x g = (1000)(1. 57x10-5/2)(9. 8) = 0. 077 n.
