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: **
10.00cm, 23.40cm
13.40 cm
I took the final measurement and subtracted it from the initial measurment and I obtained the length of the rubberband based on the weight of 1 dominoe, the rubberband is marked with a 1, and I think that my measurement is between .03cm less than the actual measurement.
** The basis for your uncertainty estimate: **
I think that it is .03cm less because I always suspect things to be shorter than it really is and plus the bottom of the rubber band is hard to distinguish.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10.00cm, 23.40 cm
10.00cm, 19.30cm
10.00cm, 21.10cm
10.00cm, 22.80cm
10.00cm, 24.60cm
End
13.40cm, 19.30cm, 21.10cm, 22.80cm, 24.60cm
I got these markings on the rubberbands by taking the final measurement and subtracting it from the inital measurement to obtain the length of hte rubberband based on the weight of 1 dominoe.
I would say the uncertanity of the measurement is .03 cm less because it was difficult to distinguish the bottom of the rubber band.
** Distances between ends when supporting 2 dominoes **
23.40cm, 19.80cm, 20.90cm, 22.70cm, 25.30cm
These results were based on the weight of 2 dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
23.80cm, 20.10cm, 21.40cm, 23.30cm, 24.50cm
4
24.20cm, 20.20cm, 21.60cm, 24.10cm, 26.60cm
6
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
13.40cm, 19.30cm, 21.10cm, 22.80cm, 24.60cm, .19Newtons
23.40cm, 19.80cm, 20.90cm, 22.70cm, 25.30cm , .38Newtons
23.80cm, 20.10cm, 21.40cm, 23.30cm, 24.50cm, .76Newtons
24.20cm, 20.20cm, 21.60cm, 24.10cm, 26.60cm, 1.14Newtons
End
Each column is the length of each rubberband due to the weight of 1,2,4 &6 dominoes. The 1st line is length of rubber band for the weight of 1 dominoe measured in cm, the second line is the length of rubberband based on the weight of 2 dominoes, the third line is lenght of rubberbands measured in cm of the weight based on 4 dominoes, the fourth line is the lenght of rubberbands measured in cm, based on the weight of 6 dominoes.
** Describe the graph of your first rubber band **
The first rubberband's shape of curve is increasing at a decreasing rate, then increasing at an increasing rate. The second rubberbands' shape of curve is increasing at an increasing rate throughout. The third rubberband's shape of curve is increasing at a decreasing rate, then increasing at an increasing rate. The fourth rubberband's shape of cure is increasing at a decreasing rate, then increasing at an increasing rate. The fifth rubberband's shape of curve is increasing at a decreasing rate, then increasing at an increasing rate.
End
** The tension force in your first rubber band at length 9.8 cm: **
.50 Newtons
** The length of your first rubber band when tension is 1.4 N: **
24.00cm
** 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: **
13.40cm, 23.40cm, 23.80cm, 24.20cm, with .80N, 1.20N, 1.30N, 1.60N
The actual weight supported was 6 dominoes, therefore having a weight of 1.14 therefore my estimates are (1.60-1.14) about .46 more than the actual weight.
** 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: **
.19N, .38N, .76N, 1.14N
+.61N, +.82N, +.54N, +.46N
** The typical error you estimate when predicting force for a given length from your graphs: **
Values reported in the table because it shows the difference between my values and the actual forces that it corresponds with.
I think that the uncertainty is +.12N because based on my results, my estimates were much more than the actual forces, therefore my results would be +.12N more.
** The typical error you estimate when predicting length for a given force from your graphs: **
Length would be +.13cm because all throuhgout the experiment I stated that I thought my results would be more, but the evidence for this would be how high my actual forces were vs. the length, if my forces were higher, then it is also a possiblity that my length was high as well, causing the lenght uncertainty to be +.13cm.
** **
1 1/2 hours
** **
Located here are my table results for each rubberband for force vs. length:
Rubberband 1
Force Length
.80N 13.40cm
1.20N 23.40cm
1.30N 23.80cm
1.60N 24.20cm
Rubberband 2
Force Length
.40N 19.30cm
.80N 19.80cm
1.10N 20.10cm
1.20N 20.20cm
Rubberband 3
Force Length
.80N 21.10cm
.60N 20.90cm
1.10N 21.40cm
1.15N 21.60cm
Rubberband 4
Force Length
.60N 22.80cm
.50N 22.70cm
1.00N 23.30cm
1.30N 24.10cm
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