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.