Your 'rubber band calibration' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your initial comment (if any): **
** first line ruler markings, distance in actual cm between ends, how obtained: **
1.00, 8.67
7.67cm
The number immediately above is the overall length of rubber band #1 stretched by the weight of6 paper clips, 5 rubber bands, one sandwich bag and one domino below it. The first line of numbers above is the endpoints of the rubber band along the ruler - the actual length is the difference between these numbers. I expect an accuracy of 0.03cm+/-
** The basis for your uncertainty estimate: **
My eyesight is not what it once was and it is somewhat difficult to hold the ruler steady enough to ensure more accuracy than 0.03cm.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
1.00, 8.67
4.00, 11.62
6.00, 13.49
6.00, 13.43
1.00, 8.63
7.00, 14.50
End
7.67, 7.62, 7.49, 7.43, 7.63, 7.50
My rubber bands are marked with dots - one dot for each number of that band.
uncertainty of 0.03cm+/-
** Distances between ends when supporting 2 dominoes **
7.73, 7.70, 7.68, 7.62, 7.83, 7.62
These results were from the weight of two dominoes
** Lengths when supporting 4, 6, ... dominoes: **
7.98, 7.95, 7.82, 7.92, 7.99, 7.83
Lengths when supporting four dominos
8.18, 8.14, 8.06, 8.02, 8.22, 8.14
Lengths when supporting six dominos
8.38, 8.35, 8.28, 8.22, 8.40, 8.28
Lengths when supporting eight dominos
8.63, 8.59, 8.49, 8.43, 8.64, 8.52
Lengths when supporting ten dominos
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.67, 7.62, 7.49, 7.43, 0.19
7.73, 7.70, 7.68, 7.62, 0.38
7.98, 7.95, 7.82, 7.92, 0.76
8.18, 8.14, 8.06, 8.02, 1.14
8.38, 8.35, 8.28, 8.22, 1.52
8.63, 8.59, 8.49, 8.43, 1.90
End
Each line above consists of the lengths of the first four rubber bands followed by the force (N) upon them at those lengths.
** Describe the graph of your first rubber band **
The graphs increase at an increasing rate up to the weight of four dominos then they increase at a decreasing rate thereafter.
Describe the shapes of all 6 rubber bands? Standard 3 inch rubber bands, I guess.
End
** The tension force in your first rubber band at length 9.8 cm: **
4.3N
** The length of your first rubber band when tension is 1.4 N: **
8.3cm
** The forces at your observed lengths the 1st rubber band, as given by the curve, and the deviations of those curve-predicted lengths from the observed lengths: **
0.21, 0.35, 0.58, 0.78, 1.17, 1.52, 1.90
+.03N, -.01N
** The lengths predicted for forces .19 N, .38 N, .76 N, 1.14 N, etc. by the curve for your first rubber band; the deviations of your actual observations from these predictions: **
7.64, 7.78, 7.87, 8.00, 8.18, 8.38, 8.64
+.02cm, -.03cm
** The typical error you estimate when predicting force for a given length from your graphs: **
I would have tended to align the curve a bit more toward the points than was allowed because of variations in the bubber bands manufacturing. But on average I feel the curve will give more reliable results.
+/-0.02N provides a range that would encompass all of the data points
** The typical error you estimate when predicting length for a given force from your graphs: **
+/-0.03cm would encompass all of the data points
** **
2hrs 24 min
** **
&#Your work looks very good. Let me know if you have any questions. &#