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): **

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

10cm and 18.2cm, 8.2cm

I took a ruler and measured how long the first rubber band is with the five other ones chained below and a domino in a plastic bag at the bottom.

There would be a change if I removed the domino. It would be about + or - 0.05cm

** The basis for your uncertainty estimate: **

This measurement is based on the other rubber bands below and can easily be changed if I move the domino. The chain does not go directly vertically down. It angles a little, making measurements being a little off.

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

10, 18.2

25.6, 32.4

40.72, 47.8

56.6, 63.1

71.4, 78.5

85.3, 92.2

8.2, 6.8, 7.1, 7.0, 7.1, 6.9

+-0.05cm

Every line is the beginning and end of the centimeter mark. The second to last line shows the length of each rubber band from end to end. The final line is the uncertainty.

** Distances between ends when supporting 2 dominoes **

8cm, 7.9cm, 8.5cm, 5.3cm, 7.7cm

These are the distances between rubber bands.

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

7.7cm, 8.9cm, 7.4cm, 7.9cm, 8.0cm, 8.3

4

8.3cm, 8.0cm, 8.2cm, 8.2cm, 8.5cm, 8.1cm

6

8.4cm, 8.2cm, 8.4cm, 8.5cm, 9.0cm, 9.5cm

8

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

8.2, 6.8, 7.1, 7.0, 7.1, 6.9, 0.19N

6.8, 7.9, 8.9, 8.0, 8.2, 7.9, 0.38N

7.7, 8.9, 7.4, 7.9, 8.0, 8.3, 0.76N

8.3, 8.0, 8.2, 8.2, 8.5, 8.1, 1.14N

8.4, 8.2, 8.4, 8.5, 9.0, 9.5, 1.76N

End

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

The graphs are a little unsteady due to some possible errors, however its is generally increasing throughout at a decreasing rate.

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

1.4N

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

6.8cm

** 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: **

0.19N, 0.38N, 0.76N, 1.14N, 1.52N

The curve is off variably by on average about 0.5N

** 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: **

6.8cm, 7.9cm, 8.9cm, 8.0, 8.2cm

These were actually much closer and would differ by about + or - 0.5cm

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

I would rely more on the curve because that would be by how an object gets there in terms of force and length. My actual point can easily be off.

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

0.55cm

If there were more careful parts made, the uncertainty would be much closer to the actual value.

** **

160 minutes

** **

&#Your work looks very good. Let me know if you have any questions. &#