rubber band calibration

phy201

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, 17.5 cm

7.50 cm

I measured from one end of the rubber band to the next with an accuracy of +-.05.

** #$&* The basis for your uncertainty estimate: **

I think the first rubber band is between 7.45 and 7.55.

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

10cm, 17.5cm

10cm, 17.55cm

10cm,17.60 cm

10cm,17.65 cm

10cm,17.6cm

10cm, 17.6cm

end

7.50cm

7.55cm

7.60cm

7.65cm

7.60 cm

7.60cm

+-.05

** #$&* Distances between ends when supporting 2 dominoes **

7.6, 7.65, 7.79, 7.8, 7.7, 7.6

weight of 2 dominos

** #$&* Lengths when supporting 4, 6, ... dominoes: **

7.90, 8.0, 8.10, 8.10, 7.95, 7.90

4

8.20, 8.20, 8.30, 8.30, 8.20, 8.15

6

8.55, 8.50, 8.50, 8.60, 8.50, 8.45

8

8.75, 8.65, 8.75,8.80, 8.70, 8.65

10

end

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

7.5, 7.55, 7.6, 7.65, 7.6, 7.6, force= .19

1

7.6, 7.65, 7.79, 7.8, 7.7, 7.6, force= .38

2

7.90, 8.50, 8.10, 8.10, 7.95, 7.90, force= .76

4

8.20, 8.20, 8.30, 8.30, 8.20, 8.15, force= 1.14

6

8.55, 8.50, 8.50, 8.60, 8.50, 8.45, force= 1.52

8

8.75, 8.65, 8.75,8.80, 8.70, 8.65, force=1.9

10

end

each line of data includes the length of each rubber band in cm and the force exerted by each domino indicated in Newtons

** #$&* Describe the graph of your first rubber band **

increases at an increasing rate, then increases at a decreasing rate-1

increases at an increasing rate, then increases at a decreasing rate,then increases at an increasing rate, then increases at a decreasing rate-2

increases at an increasing rate, then increases at a decreasing rate,then increases at a constant rate, then increases at an increasing rate-3

increases at an increasing rate, then increases at a decreasing rate,then increases at an increasing rate, then increases at a decreasing rate-4

increases at an increasing rate, then increases at a constant rate,then increases at an increasing rate, then increases at a decreasing rate-5

increases at an increasing rate, then increases at a constant rate,then increases at an increasing rate, then increases at a decreasing rate-6

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

5.13

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

8.5

** #$&* 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: **

.18, .32, .78, 1.19, 1.47, 1.81

.01, .06, .02, .05, .05, .09

** #$&* 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: **

7.52, 7.65, 7.89, 8.17, 8.58, 8.78

.02, .05, .01, .07, .03, .03

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

I have more faith in the estimated curve because that falls between the measurements actually taken which probably makes up for some of the error in measurement.

i think the uncertainty would be around +-.04 because that is the average of the differences above.

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

i think the uncertainty would be around +-.05 because that is the average of the differences above.

** **

3 hours

** **

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