Archimedes Principle
Overview:
The purpose of this experiment was to measure the density of a solid and a liquid using Archimedes principle. Archimedes is one of the greatest inventors and mathematicians of all time. The principle we used in this experiment was discovered when Archimedes stepped into a full bath tub. Using Archimedes principle, we were able to determine the density of a lead rod, water, and an unknown liquid.
Physical Data: Name | MW (g/mol) | ρ (g/cm3) | bp (˚C) | mp (˚C) | water | 18.01 g/mol | 1 g/cm3 | 100 ˚C | 0 ˚C | lead | 207.2 g/mol | 11.34 g/cm3 | 1749˚C | 327.5˚C |
Equations: Spring ConstantF=-kxThe equation was used to calculate the spring constant of spring i. | Densityρ=massvolumeThis equation was used to calculate the density of an object. | Buoyant ForceB=Δmg=ρf VobjgThis equation was used to calculate the buoyant force of an object. |
Experimental Procedure: ProcedureA: * Setup similar to the spring constant lab * Use the same or a similar spring from the spring constant lab * Find the spring constant of the smallest spring used from previous lab if not already foundB: * Use the same metal rod from the Error of Propagation experiment and attach it to the bottom of the spring * Fully submerged the metal rod in a beaker of water * Record the displacement of the submerged object * Repeat several times making sure the object is fully submerged and steadyC: * Dry the object and then repeat part B with an unknown liquid | Observations * Used spring i. We worked with a different group so we used their spring with their known spring constant. * Used an iron rod, which is what the group we worked with used before. * Starting volume decreased after the first trial * Displacement in the unknown liquid was very similar to that of water |
Data/Results:
A:
Spring constant: k=0.023 N/m This was received from the group we worked with.
B