We used the calipers shown in the picture below to find the diameter and the height of the cylinder in order to get the volume of the cylinder. We also used it in order to get uncertainty values for both of those measurements.
We also used the scale shown below in order to get the mass of the cylinder so that we could find the density of each cylinder. This also helped us acquire an uncertainty value for math.
Procedure: For the first part of the lab we used the scale and the calipers in order to get measurements of height, diameter and mass so that we could find the density of each cylinder. We also got the uncertainty of the measurements so that we could propagate the uncertainty of the density for each cylinder.
After that we went on to the second part of the lab which was the unknown mass hanging from force scales. We had to get the angle of the force scales measured and also the measurement that was on the force scales themselves. Uncertainty for each measurement was also needed so that we could propagate the uncertainty of the unknown mass.
Data: Below is the numbers we got for each of the cylinders.
We also got the measurements for the unknown mass which is also below.
Calculations: First, we found the density of each of the cylinders and then we propagated the uncertainty of the density for each cylinder by taking the partial derivative of each value that had uncertainty (with respect to density). The calculations are shown below.
We did the same thing for the unknown mass except we used forces instead of an equation. We then did the same thing for uncertainty below.
Summary: In this lab, we pretty much used the information given so that we could propagate for uncertainty and overall it was a success because I get it. We took measurements of a cylinder and the force scales on the unknown mass in order to find out what density and mass were respectively. We also came to the same values meaning that we all had the correct data and were able to get the purpose of the lab.
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