<p> Archimedes’ Principle Introduction: </p><p>The specific gravity of a material is defined as the density of the material divided by the density of water: S.G. =  /water = , where M is mass and V is volume. If the two masses had the same volume, this would reduce to M/Mwater. Now, the buoyancy force of the object in water is equal to the mass of the water displaced (this is Archimedes’ principle) so Mwater = buoyancy force. The volumes are the same because the water displaced has the same volume as the object that displaced it.</p><p>Procedure: </p><p>Part 1: Finding the specific gravity of aluminum.</p><p>1. Measure and record the mass (to within 0.05g) of the aluminum cylinder in air:Mass in</p><p> air:______g ______</p><p>2. Measure and record the apparent mass of the aluminum cylinder while completely submerged in a beaker of water: Mass in water:______g______</p><p>Part 2: Finding the specific gravity of rubbing alcohol.</p><p>3. Fill a different beaker with alcohol. Measure and record the apparent mass of the aluminum cylinder while completely submerged in alcohol:</p><p>Mass in alcohol:______g______</p><p>Part 3: Finding the specific gravity of wood.</p><p>4. Measure and record the mass of the wooden cylinder by itself in air:</p><p>Mass in air:______g______</p><p>5. Attach the lead sinker to the wooden cylinder and weigh the combination of wood and sinker with only the sinker submerged in water:</p><p>______g______</p><p>6. Measure and record the mass of wood cylinder and sinker together with both wood and sinker submerged in water: ______g______Part 4: Finding the specific gravity of an irregular solid.</p><p>7. Perform a measurement to determine the material of the irregular solid, using Archimedes’ Principle. Record your data below. Calculations: Calculate: a) the specific gravity of the aluminum cylinder and the percent error of the result;</p><p>S.G.Aluminum = (mass of aluminum in air)  (mass of aluminum in air – mass of aluminum in water)</p><p> b) the specific gravity of the alcohol and the percent error of the result;</p><p>S.G.Alcohol = (mass of aluminum in air – mass of aluminum in alcohol)  (mass of aluminum in air – mass of aluminum in water)</p><p> c) the specific gravity of the wood cylinder and the percent error of the result;</p><p>S.G.wood = (mass of wood in air)  (mass of wood in air with lead in water – mass of wood and lead both in water )</p><p> d) the specific gravity of the irregular solid and the percent error of the result; e) What was the material of the irregular solid?</p><p>Conclusion/Discussion:</p><p>1. Describe the purpose of each part of the procedure. 2. Describe how you accomplished the procedure. 3. Describe and evaluate the results. 4. Make a comprehensive list of sources of measurement error in this lab.</p><p>In your conclusion, clearly state how Archimedes’ principle is used in this lab. </p>