rubber band calibration

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): **

Would like to have feedback. Thanks, Joshua

** first line ruler markings, distance in actual cm between ends, how obtained: **

114.3,106.5

7.78

The number in the second line was obtained by subtracting the top measurements from each other. The rubberband is marked with one black line. I believe that the measurement is accurate to within +-.03cm

** The basis for your uncertainty estimate: **

The basis for the esitmate of uncertainty is based upon the idea of rounding to rounding to a 0 in the hundredth decimal location or rounding to a five in the hundredth decimal location. The median of the two would be 2.5 and by rounding that up to the next whole number I get a three. Therefore in rounding up I would be rounding approximately plus three to get five or 0 and in rounding down I would be rounding approximately minus 3 to a 0 or 5.

** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **

114.3,106.5

102,94.9

90.5,83.5

79.1,71.8

67.5,60.2

55.6,48.6

END

7.78,7.14,6.99,7.30,7.30,6.99

In order the first rubber band has one line marked, second has two lines marked, third has three lines, fourth has four lines, fifth has five lines, and the sixth has six lines marked.

The uncertainty of measurements is +-.03cm.

** Distances between ends when supporting 2 dominoes **

7.94,7.30,7.30,7.30,7.46,7.30

These measurements are from the weight of two dominoes.

** Lengths when supporting 4, 6, ... dominoes: **

8.23,7.46,7.62,7.46,7.78,7.46

4

8.41,7.62,8.23,7.62,8.10,7.78

6

8.73,7.94,7.94,7.78,8.23,8.23

8

9.05,8.23,8.23,8.16,8.57,8.41

10

END

** Your table of force in Newtons vs. length in cm for all rubber bands **

7.78,7.14,6.99,7.30,7.30,6.99 .19N

7.94,7.30,7.30,7.30,7.46,7.30 .38N

8.23,7.46,7.62,7.46,7.78,7.46 .76N

8.41,7.62,8.23,7.62,8.10,7.78 1.14N

8.73,7.94,7.94,7.78,8.23,8.23 1.52N

9.05,8.23,8.23,8.16,8.57,8.41 1.90N

END

Each line contains the measurement in cm for each rubberband based on the downward force which is indicated at the end of each line.

10

** Describe the graph of your first rubber band **

Graph 1 (Rubberband 1) is increasing at a increasing rate.

Graph 2 (Rubberband 2) is increasing at a increasing rate.

Graph 3 (Rubberband 3) is increasing at a increasing rate.

Graph 4 (Rubberband 4) is increasing at a increasing rate.

Graph 5 (Rubberband 5) is increasing at a increasing rate.

Graph 6 (Rubberband 6) is increasing at a increasing rate.

END

No rubberband's rate changes by more than +-.3cm

** The tension force in your first rubber band at length 9.8 cm: **

2.57N

8.65cm

** The length of your first rubber band when tension is 1.4 N: **

** 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: **

.21,.38,.77,1.04,1.48,1.89

The curve differs by an average of +-.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: **

7.78,7.92,8.22,8.46,8.73,9.06

The curve differs by an average of +-.02N

** The typical error you estimate when predicting force for a given length from your graphs: **

I would have more faith in the accuracy in the measurements in the table because in the matter of human error the table only link to 1 degree of human error which would be eyesight and the curve would be linked to human error of eyesight times three from the measurments and from the line drawn and estimation from the curve drawn.

The measurement of uncertainty is +-.03 which was obtained by takeing the absolute differsences from the estimations and the measurements and find the average of those differences which ended up being .03

** The typical error you estimate when predicting length for a given force from your graphs: **

The measurement of uncertainty is +-.02 which is gained by finding the average of the differences in the measurements from teh table and the measurements taken from the curve.

** **

2.5 hours

** **

Would like to have feedback. Thanks, Joshua

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Very good work. Let me know if you have questions. &#