7-Sept-2016: Propagated uncertainty in measurements

Lab 6 Propagated Uncertainty in Measurements
Date: 7 September 2016
Lab Partner: Richard Mendoza
Name: Andrew Martinez

Introduction: Use propagated uncertainty to find the propagated error in the density of the metal cylinders

Apparatus:
- Iron Cylinder
- Aluminum Cylinder
- Calipers
- Mass scale

Procedure: Using the scale and caliper find the mass, height, and diameter of the cylinders as well as there expected error and use these measurements to determine density with propagated error.

Caliper used to find the length and diameter to an .01 expected error

Aluminum Cylinder

Iron Cylinder

Mass Scale with an .1 expected error

Measure Data
Aluminum Cylinder: M(29.1 g +/- .1 g), H(7.83 cm +/- .01 cm), D(1.29 cm +/- .01 cm)
Iron Cylinder: M(30.2 g +/- .1 g), H(3.07 cm +/- .01 cm), D(1.24 cm +/- .01 cm)

Picture shows the work done to find the density and its propagated error

Density for aluminum is 2.84 g/cm^3 +/- .288 g/cm^3
Density for iron is 8.14 g/cm^3 +/- .826 g/cm^3

Conclusion: The experimental measurements with their expected errors yielded fairly accurate results for density and the propagated error. Random errors that may have occurred is misreading on the measuring scales. Systematic errors might be user resulted in the calculations of the math problems.