1248 WordsJun 20, 20135 Pages

"Cartesian" is named after the French mathematician and philosopher Rene Descartes, who lived from 1596 until 1650. Cartesian diver lab is used commonly in scientific experiments to illustrate principle of buoyancy. The objective of this Cartesian diver lab is to demonstrate Pascal 's law and Archimedes ' principles.
Observation is the key to conduct this experimental study of the Cartesian diver. First a 2-liter bottle is filled with water to almost all the way to the top, then prepare the diver which is a test tube, fill the test tube about 50-60% with water, place the diver inside the bottle the diver should float near the water surface then secure the cap on the bottle. When the container is squeezed, the diver should sink to the*…show more content…*

F=mg (4)
Where F is the weight of the object, m is the mass of the object and g is the gravity. By relating equation (3) and (4) the buoyancy force equals 0.01N and mass of the tube is about 1g.
PV=ρRT (5)
Where P is the pressure, V is the volume, ρ is the density, R is the gas constant and T is the temperature.
P_2/P_1 =h_1/h_2 (6)
Where P_1 the pressure rise of the bottle, P_2 Pressure rise of the diver, h_1 is the height of pressure rise in bottle and h_2 is the height of pressure rise in diver.
Cartesian diver can achieve a neutrally buoyant state. However when the Cartesian diver reach the neutrally buoyant state it will be an unstable equilibrium like a ball on a hill, a very small change can cause to rise or sink again. The hydrostatic pressure is a very important factor in the Cartesian diver, the hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. The hydrostatic pressure of the water increase as the

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