Uncertainty Error Analysis and Graph Plotting
The purpose of this experiment is intended to demonstrate the effects of uncertainty and error on data and conclusions. Primarily, this experiment focused on collecting information with a tape measurement to show that there is uncertainty from both human involvement and a lack of precision from lab equipment.
2 different sized disks
First, we measured the circumference of each disk four times with the tape measurement by wrapping it around each disk. This data was added to a table used and then we measured the radius of each disk once with the tape measurement and added this information to a chart comparing circumference with diameter. This information was plotted, and the slope of the line was recorded and compared to what the slope should have been. For part two of this lab, we simply created a graph for each data chart including a title, independent x-axis, dependent y-axis, calculated a scale for each axis, plotted the data points and drew a line of best fit. Finally, we calculated a slope for each line of best fit and reported the values.
𝐸𝑟𝑟𝑜𝑟 = 𝑇h𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑟𝑒𝑛𝑐𝑒 − 𝑀𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑟𝑒𝑛𝑐𝑒) ∗ 100% divided by 𝑇h𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑟𝑒𝑛𝑐𝑒
|Objects||Radius||Measured circ||Uncertainty||Theorical circ|
|Small Disk||4.4 cm||27.646 cm||0.48%||0.133 cm|
|Large Disk||2.6 cm||16.336 cm||0.77%||0.124 cm|
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