Your work on rubber band calibration 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:
3cm, 11.75cm
8.75cm
I found the difference between the start point and end point. The rubberband has six markings on it. I would say I have a +/- .02cm actual measurement.
The basis for your uncertainty estimate:
When measuring to the nearest .01, you have to allow room for rounding.
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
3cm, 11.75cm
3cm, 11.50cm
3cm, 11.75cm
3cm, 12.10cm
3cm, 12.01cm
3cm, 11.75cm
End
8.75cm, 8.50cm, 8.75cm, 9.10cm, 9.01cm, 8.75cm
The marking of the rubberbands contain a number of black line on each ranging from 1-6 markings on each.I would say I have a +/- .02cm actual measurement.
Distances between ends when supporting 2 dominoes
9.00cm, 9.02cm, 8.95cm, 9.55cm, 9.28cm, 9.12cm
These results were the weights of 2 dominoes.
Lengths when supporting 4, 6, ... dominoes:
10.38cm, 10.19cm, 10.12cm, 10.27cm, 10.51cm, 10.45cm
4
10.88cm, 10.67cm, 10.48cm, 11.12cm, 10.92cm, 10.85cm
6
End
Your table of force in Newtons vs. length in cm for all rubber bands
8.75cm, 8.50cm, 8.75cm, 9.10cm, 9.01cm, 8.75cm .19 Newtons
9.00cm, 9.02cm, 8.95cm, 9.55cm, 9.28cm, 9.12cm .38 Newtons
10.38cm, 10.19cm, 10.12cm, 10.27cm, 10.51cm, 10.45cm .76 Newtons
10.88cm, 10.67cm, 10.48cm, 11.12cm, 10.92cm, 10.85cm 1.14 Newtons
End
The first column is the rubber band with 6 markings and these are the lengths that it was stretched to when dominoes were added. This is the case with all of the other columns in my graph., with each column representing a different rubberband. These are measurements in cm. and the Newtons are in the last column on the right side.
Describe the graph of your first rubber band
The graph is steadily increasing, but curves increasingly to the final point. The graph is increasing at an increasing rate.
The tension force in your first rubber band at length 9.8 cm:
.60
The length of your first rubber band when tension is 1.4 N:
12.4cm
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:
.20, .41, .75, 1.11
.01, .03, .01, .03
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:
8.73, 8.53, 8.73, 9.10, 9.00, 8.73
.02, .02, .02, .00, .00, .02
The typical error you estimate when predicting force for a given length from your graphs:
+/-.02, two of my numbers from the curve were .01 N difference from the dots and the other two were .03 N from the dots, so .02 seems to be the best number for the range.
The typical error you estimate when predicting length for a given force from your graphs:
+/- .01cm, my numbers from the curve were .02cm difference from the dots and the other two were .00 from the dots, so .01 seems to be the best number for the range.
Good data.
After the due date we will be discussing this experiment further via an online forum.