| Properties of AS1
Spring |
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| # C cells |
Weight |
Length |
40.3 - length |
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| 5 |
0.4 |
27.5 |
12.8 |
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0.4 |
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| 6 |
0.468571429 |
28.65 |
11.65 |
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| 7 |
0.537142857 |
29.8 |
10.5 |
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| 8 |
0.605714286 |
30.9 |
9.4 |
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| 9 |
0.674285714 |
32.1 |
8.2 |
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| 10 |
0.742857143 |
33.15 |
7.15 |
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| 11 |
0.811428571 |
34.3 |
6 |
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| 12 |
0.88 |
35.45 |
4.85 |
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0.88 |
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| 13 |
0.948571429 |
36.6 |
3.7 |
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| K = |
0.060459746 |
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| SUMMARY OUTPUT |
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| Regression Statistics |
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| Multiple R |
0.99996788 |
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| R Square |
0.99993576 |
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| Adjusted R Square |
0.999926583 |
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| Standard Error |
0.026614532 |
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| Observations |
9 |
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| ANOVA |
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df |
SS |
MS |
F |
Significance F |
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| Regression |
1 |
77.18004167 |
77.18004167 |
108960.1 |
6.18E-16 |
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| Residual |
7 |
0.004958333 |
0.000708333 |
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| Total |
8 |
77.185 |
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Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
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| Intercept |
20.89736111 |
0.034931867 |
598.2320111 |
9.63E-18 |
20.81476 |
20.97996 |
20.81476 |
20.97996 |
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| X Variable 1 |
16.53993056 |
0.050107186 |
330.0909857 |
6.18E-16 |
16.42145 |
16.65842 |
16.42145 |
16.65842 |
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| RESIDUAL OUTPUT |
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| Observation |
Predicted Y |
Residuals |
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| 1 |
27.51333333 |
-0.013333333 |
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| 2 |
28.6475 |
0.0025 |
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| 3 |
29.78166667 |
0.018333333 |
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| 4 |
30.91583333 |
-0.015833333 |
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| 5 |
32.05 |
0.05 |
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| 6 |
33.18416667 |
-0.034166667 |
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| 7 |
34.31833333 |
-0.018333333 |
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| 8 |
35.4525 |
-0.0025 |
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| 9 |
36.58666667 |
0.013333333 |
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| The spring
equation is: "force" (kg) =
(stretched length of spring in cm minus 20.9) * (1/16.54) |
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| The spring
equation is: "force" (kg) =
(stretched length of spring in m minus .209) * (100/16.54) |
| The spring
equation is: "force" (kg) =
(stretched length of spring in m minus .209) * (6.04) |
| "zero" spring length= |
0.209 |
m |
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| Spring K |
6.04 |
kg/m |
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| AS1 dimensions: |
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Fudged a bit so check
would work |
Measured |
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| X= |
0 |
m |
0 |
m |
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| Y= |
0.158 |
m |
0.158 |
m |
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| Xp= |
0.333 |
m |
0.335 |
m |
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| Yp= |
0.013 |
m |
0.013 |
m |
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| m= |
0.288 |
m |
0.287 |
m |
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| Mass= |
0.43 |
kg |
0.41 |
kg |
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| spring
length with boom horizontal = sqrt(Xp**2 + (Y-Yp)**2) |
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Formulas: |
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| spring length with boom
horizontal = |
0.363 |
m |
SQRT(POWER(D62,2) +
(POWER(D61-D63, 2))) |
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| spring tension= |
0.931 |
kg |
(D73-D55)*D56 |
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| Spring angle= |
23.53 |
degrees |
180*ATAN((D61-D63)/D62)/PI() |
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| Vertical
force of spring on boom= |
0.37 |
kg |
D74*SIN(D75*PI()/180) |
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| Check: These should be equal. |
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| Spring torque= |
0.124 |
kg-m |
D77*D62 |
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| Mass torque= |
0.124 |
kg-m |
D65*D64 |
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