16 September 2014: Propagated Uncertainties and Densities Lab 6 Part 1

Objectives:
1) Learning how to calculate propagated uncertainty in our density measurements.

Materials:
1) Caliper
2) Scale
3) 3 Metal cylinders  (in our experiment we chose copper, steel, and aluminum)

Procedure:
First we measured the mass of our metal cylinders using our little scales:

Steel

Aluminum

Copper

 Using the calipers, we found the height and diameter of each cylinder. The height, diameter, and mass was organized in the following table:

table of values

After we had these values we could calculate the densities along with the propagated uncertainties. The calculations for these values can be seen below:

Aluminum calculations

Steel Calculations

Copper Calculations

Conclusions:

Our calculated densities along with their propagated errors were found to be:

Aluminum:  2.47 + 0.1653

Steel: 6.56 + 0.60

Copper: 7.428 + 0.2856