Hypothesis: – To measure the density of an object we use the equation Density = Mass/Volume. But before we can figure out the density we need to first figure out the mass and the volume of each object. For measuring the mass of both regular and irregular shapes we will be using a digital balance. To measure the volume of the regular shapes we will need to do some measurements according to the geometry of each shape. To measure the volume of the irregular shapes we will need to use a measuring cylinder, filled with some water, and the displacement method.
Method (Procedures):- For regular shapes: Measuring the mass of the glass of regular shape using balance. Measuring the volume by doing some measurements according to the geometry of the shape. For irregular shapes: Measuring the mass of the glass of regular shape using balance Fill the measuring cylinders with amount of water enough to cover the pieces of glass. Drop the piece of glass in the water (gently). Take the difference in volumes.
To find the density we divide the mass by the volume of a shape, ex: 1/2 Circle – Mass = 10.15, Volume = 9.93. So we divide 10.15 by 9.93 (10.15/9.93) which equals 1.23. To Find the Uncertainty of the density we add the percentage mass and the percentage volume. To find the percentage mass we divide the uncertainty of the mass by the mass and multiply it by 100, and for the volume we also divide the uncertainty of the volume by the volume and multiply it by 100, %M/%V + 100. Ex: 1/2 Circle, %mass = 0.01/10.15 x 100 = .09. %volume = 0.5/9.93 x 100 = 5.03. %M + %V = 0.09% + 5.03% = 5.12%. So the uncertainty of the 1/2 Circle is 5.12%.
Graph 1: – Shows the relationship between the mass and volume of irregular shapes. Graph 2: – Shows the relationship between the mass and volume of regular shapes Conclusion and Evaluation: There were many sources of error in this experiment. One of the errors of the experiment could have been from measuring the density of the irregular shapes. When were put them in the cylinders there could have been air bubbles in the glass.
This would take volume and doesn’t have the same density as glass does. Another error could have been from when we removed the glass from the cylinder, some of the water could have been still on the glass which would lower the volume of the water. To fix the first error we could have just checked the glass for air bubbles and do not use the glass with air bubbles in them. This error would have had a large effect on the results. To prevent the second error we could try to drip the water from the glass back into the cylinder. This error would not have a large effect on the results.