rubber band calibration

You did not include your email address when you submitted this form. It is essential that you do this. Had I not noticed the omission, this lab would not have been posted.

Your initial comment (if any):

Hello Prof. Smith,

Here is my Rubber Band assignment.

Tanya

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

8.8,8.9

8.89, 8.91

In the second line, the numbers are indicate the distances between the ends of the first rubber band. I obtained them by measuring with a once-reduced ruler.

The basis for your uncertainty estimate:

Uncertanty can occur because the original ruler has wide intervals between each unit. A reduced ruler will give more accurate results because the intervals between units are smaller.

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

8.89, 8.91

END

8.79, 8.82

END

8.59, 8.60

END

8.68, 8.71

END

9.09, 9.12

END

8.59, 8.61

Distances between ends when supporting 2 dominoes

9.15, 9.2, 9.1, 9.3, 9.5, 9.2

9.1, 9.0, 8.8, 9.1, 9.3, 8.9

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

9.3, 9.5, 9.3, 9.4, 9.8, 9.2

4

9.6, 9.9, 9.7, 9.8, 10.1, 9.4

6

10.2, 10.4, 10.1, 10.3, 10.7, 9.8

8

11.2, 11.0, 10.5, 10.7, 11.5, 10.5

10

END

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

8.6, 8.8, 8.7, 8.6, 9.1, 8.9

.19 (1 domino)

9.1, 9.0, 8.8, 9.1, 9.3, 8.9

0.38 (2 dominoes)

9.3, 9.5, 9.3, 9.4, 9.8, 9.2

0.76 (4 dominoes)

9.6, 9.9, 9.7, 9.8, 10.1, 9.4

1.14 (6 dominoes)

10.2, 10.4, 10.1, 10.3, 10.7, 9.8

1.52 (8 dominoes)

11.2, 11.0, 10.5, 10.7, 11.5, 10.5

1.9 (10 dominoes)

END

Describe the graph of your first rubber band

My graph for the first rubber band looks like a curve which is increasing at an increasing rate upto 9.6 then increasing at an decreasing rate.

END

My graph for the second rubber band looks like a curve which is increasing at an increasing rate throughout.

END

My graph for the third rubber band looks like a curve which is increasing at an increasing rate throughout.

END

My graph for the forth rubber band looks like a curve which is increasing at a decreasing rate.

END

My graph for the fifth rubber band looks like a curve which is increasing at an increasing rate, then increasing at an decreasing rate.

END

My graph for the sixth rubber band looks like a curve which is increasing at a decreasing rate.

ENDas

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

1

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

10

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:

.16, 0.41, 0.72, 1.20, 1.50, 1.84

0.03, 0.03, 0.04, 0.06, 0.02, 0.06

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:

.19 N, .38 N, .76 N, 1.14 N, 1.52N, 1.9N

0.03, 0.03, 0.04, 0.06, 0.02, 0.06

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

I have faith in the numbers than the curve because the curve gives approximate values.

-0.03N + -0.03N + -0.04N + -0.06N + -0.02N + -0.06

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

The results would be not exact on difference which I provided in the box above.

Good work. We may discuss this further in an online discussion.

rubber band calibration

You did not include your email address when you submitted this form. It is essential that you do this. Had I not noticed the omission, this lab would not have been posted.

Your initial comment (if any):

Hello Prof. Smith,

Here is my Rubber Band assignment.

Tanya

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

8.8,8.9

8.89, 8.91

In the second line, the numbers are indicate the distances between the ends of the first rubber band. I obtained them by measuring with a once-reduced ruler.

The basis for your uncertainty estimate:

Uncertanty can occur because the original ruler has wide intervals between each unit. A reduced ruler will give more accurate results because the intervals between units are smaller.

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

8.89, 8.91

END

8.79, 8.82

END

8.59, 8.60

END

8.68, 8.71

END

9.09, 9.12

END

8.59, 8.61

Distances between ends when supporting 2 dominoes

9.15, 9.2, 9.1, 9.3, 9.5, 9.2

9.1, 9.0, 8.8, 9.1, 9.3, 8.9

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

9.3, 9.5, 9.3, 9.4, 9.8, 9.2

4

9.6, 9.9, 9.7, 9.8, 10.1, 9.4

6

10.2, 10.4, 10.1, 10.3, 10.7, 9.8

8

11.2, 11.0, 10.5, 10.7, 11.5, 10.5

10

END

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

8.6, 8.8, 8.7, 8.6, 9.1, 8.9

.19 (1 domino)

9.1, 9.0, 8.8, 9.1, 9.3, 8.9

0.38 (2 dominoes)

9.3, 9.5, 9.3, 9.4, 9.8, 9.2

0.76 (4 dominoes)

9.6, 9.9, 9.7, 9.8, 10.1, 9.4

1.14 (6 dominoes)

10.2, 10.4, 10.1, 10.3, 10.7, 9.8

1.52 (8 dominoes)

11.2, 11.0, 10.5, 10.7, 11.5, 10.5

1.9 (10 dominoes)

END

Describe the graph of your first rubber band

My graph for the first rubber band looks like a curve which is increasing at an increasing rate upto 9.6 then increasing at an decreasing rate.

END

My graph for the second rubber band looks like a curve which is increasing at an increasing rate throughout.

END

My graph for the third rubber band looks like a curve which is increasing at an increasing rate throughout.

END

My graph for the forth rubber band looks like a curve which is increasing at a decreasing rate.

END

My graph for the fifth rubber band looks like a curve which is increasing at an increasing rate, then increasing at an decreasing rate.

END

My graph for the sixth rubber band looks like a curve which is increasing at a decreasing rate.

ENDas

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

1

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

10

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:

.16, 0.41, 0.72, 1.20, 1.50, 1.84

0.03, 0.03, 0.04, 0.06, 0.02, 0.06

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:

.19 N, .38 N, .76 N, 1.14 N, 1.52N, 1.9N

0.03, 0.03, 0.04, 0.06, 0.02, 0.06

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

I have faith in the numbers than the curve because the curve gives approximate values.

-0.03N + -0.03N + -0.04N + -0.06N + -0.02N + -0.06

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

The results would be not exact on difference which I provided in the box above.

Good work. We may discuss this further in an online discussion.