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:
10, 24.3
9.53
On the first line, I started the ruler at 10 cm on the the singly reduced ruler and measure the first rubber band to be 14.3 centimeters which totals 24.3. On the second line I used the ratio 1:1.5 since the singly reduced ruler measures 1 cm in 1.5 real centimeters. 1/1.5=x/14.3 and cross multiply and divide to get 9.23cm
The basis for your uncertainty estimate:
The ruler isn't the most accurate and I started the ruler at 10 cm rather than 0 cm
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
10,24.3
10,23.9
10,23.6
10,23.2
10,23.2
End
9.53,9.27,9.07,8.8,8.8
1,2,3,4,5
The ruler isn't the most accurate and I started the ruler at 10 cm rather than 0 cm
Distances between ends when supporting 2 dominoes
9.73,9.27,9.2,9.3,9.07
These results are fromt he weight of two dominoes.
Lengths when supporting 4, 6, ... dominoes:
10,9.67,9.53,9.47,9.47
4
10.27,10,9.8,9.73,9.73
6
10.73,10.47,10.47,10.2,10.2
8
End
Your table of force in Newtons vs. length in cm for all rubber bands
9.53,9.27,9.07,8.8,8.8,.19
9.73,9.27,9.2,9.3,9.07,.38
10,9.67,9.53,9.47,9.47,.76
10.27,10,9.8,9.73,9.73,1.14
10.73,10.47,10.47,10.2,10.2,1.52
End
Each column represents the lengths of the rubber bands in cm.
Describe the graph of your first rubber band
increasing at an increasing rate throughout for all 8 dominos because the weight is constantly increasing.
The tension force in your first rubber band at length 9.8 cm:
3.3
The length of your first rubber band when tension is 1.4 N:
9.5
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:
1.2,1.3,1.3,1.7,1.9
The estimate could differ somewhat due to the acutal weight of the dominoes.
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:
14.3,14.6,15.0,15.4,16.1
6.3,6.6,7,7.4,8.1
The typical error you estimate when predicting force for a given length from your graphs:
+-.12 N the estimate is high because there is a high rate of error
The typical error you estimate when predicting length for a given force from your graphs:
+-.05 the estimate is not very high because it is easier to be sure that your ruler is right.
Your report has been received. We will be discussing this and other data reports online after the due dates.
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:
10, 24.3
9.53
On the first line, I started the ruler at 10 cm on the the singly reduced ruler and measure the first rubber band to be 14.3 centimeters which totals 24.3. On the second line I used the ratio 1:1.5 since the singly reduced ruler measures 1 cm in 1.5 real centimeters. 1/1.5=x/14.3 and cross multiply and divide to get 9.23cm
The basis for your uncertainty estimate:
The ruler isn't the most accurate and I started the ruler at 10 cm rather than 0 cm
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
10,24.3
10,23.9
10,23.6
10,23.2
10,23.2
End
9.53,9.27,9.07,8.8,8.8
1,2,3,4,5
The ruler isn't the most accurate and I started the ruler at 10 cm rather than 0 cm
Distances between ends when supporting 2 dominoes
9.73,9.27,9.2,9.3,9.07
These results are fromt he weight of two dominoes.
Lengths when supporting 4, 6, ... dominoes:
10,9.67,9.53,9.47,9.47
4
10.27,10,9.8,9.73,9.73
6
10.73,10.47,10.47,10.2,10.2
8
End
Your table of force in Newtons vs. length in cm for all rubber bands
9.53,9.27,9.07,8.8,8.8,.19
9.73,9.27,9.2,9.3,9.07,.38
10,9.67,9.53,9.47,9.47,.76
10.27,10,9.8,9.73,9.73,1.14
10.73,10.47,10.47,10.2,10.2,1.52
End
Each column represents the lengths of the rubber bands in cm.
Describe the graph of your first rubber band
increasing at an increasing rate throughout for all 8 dominos because the weight is constantly increasing.
The tension force in your first rubber band at length 9.8 cm:
3.3
The length of your first rubber band when tension is 1.4 N:
9.5
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:
1.2,1.3,1.3,1.7,1.9
The estimate could differ somewhat due to the acutal weight of the dominoes.
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:
14.3,14.6,15.0,15.4,16.1
6.3,6.6,7,7.4,8.1
The typical error you estimate when predicting force for a given length from your graphs:
+-.12 N the estimate is high because there is a high rate of error
The typical error you estimate when predicting length for a given force from your graphs:
+-.05 the estimate is not very high because it is easier to be sure that your ruler is right.
Your report has been received (twice). We will be discussing this and other data reports online after the due dates.