physicslab1

m ( g ) 23.0 21.2 11.9 4.6 δm ( g ) 0.05 0.05 0.05 0.05 δm/m 0.00217 0.00236 0.00420 0.0109 L ( cm ) 6.3 3.2 3.3 5 δL ( cm ) 0.05 0.05 0.05 0.05 δL/L 0.0079 0.017 0.015 0.010 D ( cm ) 1.2 1.5 1.1 0.6 δD ( cm ) 0.05 0.05 0.05 0.05 δD/D 0.042 0.033 0.045 0.083 V ( cm 3 ) 7.1 5.7 3.1 1.4 δV ( cm 3 ) 0.60 0.39 0.30 0.24 δV/V 0.084 0.068 0.092 0.17 ρ ( g/cm 3 ) 3.228 3.749 3.795 3.254 δρ ( g/cm 3 ) 0.05 0.05 0.05 0.05 δρ/ρ 0.01549 0.01334 0.01318 0.01537 The volume was calculated using the cylinder equation above. The errors were determined from the equation. δv v = √ ( 2 ⋅ δD D ) 2 +( δL / L ) 2 The volume of the cylinders was also measured using the water immersion method. A volumetric flask was filled with 10ml water, then the cylinder was dropped into the flask, and the difference in ml was recorded. The results from the water volumetric are more accurate in principle than the first method because it relies on the water molecules enveloping the cylinder which is more precise than using a ruler. However, in this instance the results were nearly identical. The density of the cylinder was calculated by diving the weight by the volume. g cm 3 The error was calculating by dividing the instrumentation error, .05, by the density. Displayed is the graph directly copied from excel.