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:
2,15.1
8.45
I calculated the `ds on the singly reduced ruler.I converted it to actual centimeters using the conversion factor from the paper ruler experiment.
1cm = 1.550 reduced. This measurement is acurate to +-.02.
The basis for your uncertainty estimate:
This level of uncertainty was calculated in our paper ruler experiment.
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
2, 15.1
2, 15.0
2, 15.0
2, 15.0
2, 15.7
end
8.45, 8.39, 8.39, 8.39, 8.84
I,II,III,IIII,IIIII
+-.02
Distances between ends when supporting 2 dominoes
8.58, 8.58, 8.65, 8.65, 9.10
These results are from the weight of two dominoes
Lengths when supporting 4, 6, ... dominoes:
8.71, 8.71, 8.84, 8.90, 9.29
4
8.97, 9.03, 9.16, 9.03, 9.61
6
9.22, 9.29, 9.42, 9.16, 9.81
8
9.48,9.55, 9.68, 9.42, 10.45
10
Your table of force in Newtons vs. length in cm for all rubber bands
8.45, 8.39, 8.39, 8.39, 8.84, .19
8.58, 8.58, 8.65, 8.65, 9.10, .58
8.71, 8.71, 8.84, 8.90, 9.29, .76
8.97, 9.03, 9.16, 9.03, 9.61, 1.14
9.48,9.55, 9.68, 9.42, 10.45, 1.90
The first five numbers on each line correspond to the lengths of the five rubber bands measured in centimeters. The final number on each line indicates the downward forces associated with the lengths measured in newtons.
Describe the graph of your first rubber band
increasing at an increasing rate throughout
increasing at an increasing rate throughout
increasing at an increasing rate throughout
increasing at an increasing rate throughout
increasing at an increasing rate throughout
end
The tension force in your first rubber band at length 9.8 cm:
2.4
The length of your first rubber band when tension is 1.4 N:
9.2.
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:
.19, .38, .75, 1.0, 1.45, 1.9
0, 0, .01, .14, .07, 0
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:
8.5, 8.5, 8.8, 9.0, 9.2, 9.5
.05, .08, .07, .01, .02, .02
The typical error you estimate when predicting force for a given length from your graphs:
I have more faith in my numbers than the curve,
Since the average deviation from my numbers was .05, the uncertainty of the estimate would be +-.05
The typical error you estimate when predicting length for a given force from your graphs:
The average deviation in length was .04, so the level of uncertainty is +-.04
Good data.
After the due date we will be discussing this experiment further via an online forum.