Phy 201
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: **
2.00,11.51
9.51
The result in the second line is the distance in cm between the ends of the first rubber band. It was obtained by subtracting the measurment recorded for the top end of the rubber band from the measurment recorded for the bottom end of the rubber band. I believe the accuracy of the measurement to be within +/- .08cm. The rubber band was marked 1 with a black marker.
** The basis for your uncertainty estimate: **
I based the accuracy of the measurement of within +/-.08cm on the standard deviation of .08 of the 6 measurements.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
2.00,11.51
4.00,13.53
5.00,14.50
3.00,12.52
3.00,12.50
2.00,11.70
END
9.51,9.53,9.50,9.52,9.50,9.70
THe rubber bands were marked 1,2,3,4,5,6 with a black marker.
The uncertainty in the measurements is within +/-.08cm.
** Distances between ends when supporting 2 dominoes **
9.81,9.80,9.61,9.71,9.82,10.00
The first line lists the legnths of the 6 rubber bands when 2 dominoes are placed in the bag.
** Lengths when supporting 4, 6, ... dominoes: **
10.01,10.02,9.96,10.00,9.99,10.30
4
10.20,10.21,10.20,10.31,10.22,10.40
6
10.51,10.52,10.48,10.56,10.53,10.60
8
10.80,10.76,10.75,10.82,10.78,10.90
10
11.01,11.03,11.02,11.05,11.07,11.10
12
11.40,11.42,11.41,11.39,11.46,11.50
14
11.80,11.79,11.68,11.76,11.69,12.00
16
12.20,12.18,11.99,12.16,12.17,12.19
18
12.70,12.69,12.49,12.49,12.72,12.72
20
END
** Your table of force in Newtons vs. length in cm for all rubber bands **
9.51,9.53,9.50,9.52,9.50,9.70,.19
9.81,9.80,9.61,9.71,9.82,10.00,0.38
10.01,10.02,9.96,10.00,9.99,10.30,.076
10.20,10.21,10.20,10.31,10.22,10.40,1.14
10.51,10.52,10.48,10.56,10.53,10.60,1.52
10.80,10.76,10.75,10.82,10.78,10.90,1.90
11.01,11.03,11.02,11.05,11.07,11.10,2.28
11.40,11.42,11.41,11.39,11.46,11.50,2.66
11.80,11.79,11.68,11.76,11.69,12.00,3.04
12.20,12.18,11.99,12.16,12.17,12.19,3.42
12.70,12.69,12.49,12.49,12.72,12.72,3.80
End
The first 6 results in each line are for the length of the rubberbands in cm. The last number in each line is the force on the rubber bands in N. The first line contains data for the weight of 1 domino, the second for 2 dominoes, the third for 4 dominoes, the fifth for 6 dominoes, the sixth for 8 dominoes, the seventh for 10 dominoes, the eighth for 12 dominoes, the ninth for 14 dominoes, the tenth for 16 dominoes, the eleventh for 18 dominoes, and the twelveth for 20 dominoes.
** Describe the graph of your first rubber band **
The graph of the first rubber band is increasing at decreasing rate then increasing at an increasing rate.
The graph of the second rubber band is increasing at decreasing rate then increasing at an increasing rate.
The graph of the third rubber band is increasing at an increasing rate throughout.
The graph of the fourth rubber band is increasing at an increasing rate throughout.
The graph of the fifth rubber band is increasing at decreasing rate then increasing at an increasing rate.
The graph of the sixth rubber band is increasing at decreasing rate then increasing at an increasing rate.
End
** The tension force in your first rubber band at length 9.8 cm: **
0.30
** The length of your first rubber band when tension is 1.4 N: **
10.3
** 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,.30,.68,1.10,1.60,2.0,2.30,2.70,3.00,3.50,3.80
0,.08,.08,.04,-.08,-.1,-.02,-.04,.04,-.08,0
** 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: **
9.5,9.9,10,10.15,10.4,10.7,10.9,11.4,11.7,12.2,12.7
0.01,-0.09,0.01,0.05,0.11,0.1,0.11,0,0.1,0,0
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith in the values from the curve because they average out the characteristic of the data points.
An estimate of force would be within +/-.08 because that is the highest diference between the actual and estimated forces.
** The typical error you estimate when predicting length for a given force from your graphs: **
An estimate of length would be within +/-.11 because that is the highest diference between the actual and estimated lengths.
** **
4 hours
** **
&#Very good responses. Let me know if you have questions. &#