1. Promień pręta r.
|
r [mm] |
|
|
1 |
5.180 |
-0.005 |
0.000025 |
2 |
5.190 |
0.005 |
0.000025 |
3 |
5.190 |
0.005 |
0.000025 |
4 |
5.180 |
-0.005 |
0.000025 |
5 |
5.185 |
0 |
0 |
6 |
5.175 |
-0.010 |
0.000100 |
7 |
5.195 |
0.010 |
0.000100 |
|
5.185 |
|
|
2. Długość pręta l.
|
l [mm] |
|
|
1 |
88.0 |
-0.114 |
0.012996 |
2 |
88.1 |
-0.014 |
0.000196 |
3 |
88.1 |
-0.014 |
0.000196 |
4 |
88.2 |
0.286 |
0.081796 |
5 |
88.0 |
-0.114 |
0.012996 |
6 |
88.3 |
0.186 |
0.034596 |
7 |
88.1 |
-0.014 |
0.000196 |
|
88.114 |
|
|
3. Wymiary I obciążnika.
a) Promienie pierwszego obciążnika.
|
r1 [mm] |
|
|
|
|
r2 [mm] |
|
|
1 |
15.25 |
0.064 |
0.004096 |
|
1 |
5.05 |
0.007 |
0.000049 |
2 |
15.10 |
-0.086 |
0.007396 |
|
2 |
5.00 |
-0.043 |
0.001849 |
3 |
15.15 |
-0.036 |
0.001296 |
|
3 |
5.05 |
0.007 |
0.000049 |
4 |
15.20 |
0.014 |
0.000196 |
|
4 |
5.00 |
-0.043 |
0.001849 |
5 |
15.10 |
-0.086 |
0.007396 |
|
5 |
5.10 |
0.057 |
0.003249 |
6 |
15.25 |
0.064 |
0.004096 |
|
6 |
5.10 |
0.057 |
0.003249 |
7 |
15.25 |
0.064 |
0.004096 |
|
7 |
5.00 |
-0.043 |
0.001849 |
|
15.186 |
|
|
|
|
5.043 |
|
|
b) Wysokość I obciążnika h oraz masa.
|
h [mm] |
|
|
|
|
m [g] |
|
|
1 |
40.6 |
0.014 |
0.000196 |
|
1 |
189.4 |
0.171 |
0.029241 |
2 |
40.5 |
-0.086 |
0.007396 |
|
2 |
189.3 |
0.071 |
0.005041 |
3 |
40.6 |
0.014 |
0.000196 |
|
3 |
189.4 |
0.171 |
0.029241 |
4 |
40.4 |
-0.186 |
0.034596 |
|
4 |
189.5 |
0.271 |
0.073441 |
5 |
40.7 |
0.114 |
0.012996 |
|
5 |
188.8 |
-0.429 |
0.184041 |
6 |
40.5 |
-0.086 |
0.007396 |
|
6 |
189.2 |
-0.029 |
0.000841 |
7 |
40.8 |
0.214 |
0.045796 |
|
7 |
189.0 |
-0.229 |
0.052441 |
|
40.586 |
|
|
|
|
189.229 |
|
|
3. Wymiary II obciążnika.
a) Promienie drugiego obciążnika.
|
r1 [mm] |
|
|
|
|
r2 [mm] |
|
|
1 |
15.15 |
0.029 |
0.000841 |
|
1 |
5.10 |
0.014 |
0.000196 |
2 |
15.10 |
-0.021 |
0.000441 |
|
2 |
5.05 |
-0.036 |
0.001296 |
3 |
15.15 |
0.029 |
0.000841 |
|
3 |
5.10 |
0.014 |
0.000196 |
4 |
15.05 |
-0.071 |
0.005041 |
|
4 |
5.15 |
0.064 |
0.004096 |
5 |
15.15 |
0.029 |
0.000841 |
|
5 |
5.10 |
0.014 |
0.000196 |
6 |
15.15 |
0.029 |
0.000841 |
|
6 |
5.05 |
-0.036 |
0.001296 |
7 |
15.10 |
-0.021 |
0.000441 |
|
7 |
5.05 |
-0.036 |
0.001296 |
|
15.121 |
|
|
|
|
5.086 |
|
|
b) Wysokość II obciążnika h oraz masa.
|
h [mm] |
|
|
|
|
m [g] |
|
|
1 |
40.40 |
0.10 |
0.010 |
|
1 |
189.00 |
-0.114 |
0.012996 |
2 |
40.20 |
-0.10 |
0.010 |
|
2 |
189.10 |
-0.014 |
0.000196 |
3 |
40.30 |
0.0 |
0.0 |
|
3 |
189.00 |
-0.114 |
0.012996 |
4 |
40.40 |
0.10 |
0.010 |
|
4 |
189.40 |
0.286 |
0.081796 |
5 |
40.40 |
0.10 |
0.010 |
|
5 |
189.30 |
0.186 |
0.034596 |
6 |
40.20 |
-0.10 |
0.010 |
|
6 |
189.20 |
0.086 |
0.007396 |
7 |
40.20 |
-0.10 |
0.010 |
|
7 |
189.00 |
-0.114 |
0.012996 |
|
40.30 |
|
|
|
|
189.114 |
|
|
4. Wymiary III obciążnika.
a) Promienie trzeciego obciążnika.
|
r1 [mm] |
|
|
|
|
r2 [mm] |
|
|
1 |
15.05 |
-0.007 |
0.000049 |
|
1 |
5.05 |
-0.014 |
0.000196 |
2 |
15.00 |
-0.057 |
0.003249 |
|
2 |
5.05 |
-0.014 |
0.000196 |
3 |
15.10 |
0.043 |
0.001849 |
|
3 |
5.10 |
0.036 |
0.001296 |
4 |
15.00 |
-0.057 |
0.003249 |
|
4 |
5.05 |
-0.014 |
0.000196 |
5 |
15.05 |
-0.007 |
0.000049 |
|
5 |
5.10 |
0.036 |
0.001296 |
6 |
15.05 |
-0.007 |
0.000049 |
|
6 |
5.05 |
-0.014 |
0.000196 |
7 |
15.15 |
0.093 |
0.008649 |
|
7 |
5.05 |
-0.014 |
0.000196 |
|
15.057 |
|
|
|
|
5.064 |
|
|
b) Wysokość III obciążnika h oraz masa.
|
h [mm] |
|
|
|
|
m [g] |
|
|
1 |
40.20 |
-0.043 |
0.001849 |
|
1 |
189.40 |
0.114 |
0.012996 |
2 |
40.20 |
-0.043 |
0.001849 |
|
2 |
189.00 |
-0.286 |
0.081796 |
3 |
40.30 |
0.057 |
0.003249 |
|
3 |
189.20 |
-0.086 |
0.007396 |
4 |
40.40 |
0.157 |
0.024649 |
|
4 |
189.20 |
-0.086 |
0.007396 |
5 |
40.10 |
-0.143 |
0.020449 |
|
5 |
189.30 |
0.014 |
0.000196 |
6 |
40.20 |
-0.043 |
0.001849 |
|
6 |
189.50 |
0.214 |
0.045796 |
7 |
40.30 |
0.057 |
0.003249 |
|
7 |
189.40 |
0.114 |
0.012996 |
|
40.243 |
|
|
|
|
189.286 |
|
|
5. Wymiary IV obciążnika.
a) Promienie czwartego obciążnika.
|
r1 [mm] |
|
|
|
|
r2 [mm] |
|
|
1 |
15.25 |
0.057 |
0.003249 |
|
1 |
5.10 |
0.021 |
0.000441 |
2 |
15.20 |
0.007 |
0.000049 |
|
2 |
5.10 |
0.021 |
0.000441 |
3 |
15.25 |
0.057 |
0.003249 |
|
3 |
5.05 |
-0.029 |
0.000841 |
4 |
15.15 |
-0.043 |
0.001849 |
|
4 |
5.05 |
-0.029 |
0.000841 |
5 |
15.15 |
-0.043 |
0.001849 |
|
5 |
5.10 |
0.021 |
0.000441 |
6 |
15.15 |
-0.043 |
0.001849 |
|
6 |
5.05 |
-0.029 |
0.000841 |
7 |
15.20 |
0.007 |
0.000049 |
|
7 |
5.10 |
0.021 |
0.000441 |
|
15.193 |
|
|
|
|
5.079 |
|
|
b) Wysokość IV obciążnika h oraz masa.
|
h [mm] |
|
|
|
|
m [g] |
|
|
1 |
40.50 |
0.086 |
0.007396 |
|
1 |
189.40 |
0.057 |
0.003249 |
2 |
40.40 |
-0.014 |
0.000196 |
|
2 |
189.40 |
0.057 |
0.003249 |
3 |
40.40 |
-0.014 |
0.000196 |
|
3 |
189.20 |
-0.143 |
0.020449 |
4 |
40.50 |
0.086 |
0.007396 |
|
4 |
189.30 |
-0.043 |
0.001849 |
5 |
40.30 |
-0.114 |
0.012996 |
|
5 |
189.50 |
0.157 |
0.024649 |
6 |
40.40 |
-0.014 |
0.000196 |
|
6 |
189.40 |
0.057 |
0.003249 |
7 |
40.40 |
-0.014 |
0.000196 |
|
7 |
189.20 |
-0.143 |
0.020449 |
|
40.414 |
|
|
|
|
189.343 |
|
|
6. Okres drgań.
a) dla nieobciążonego wahadła (n=5).
|
t [s] |
T0 |
|
|
1 |
1.90 |
0.380 |
-0.012 |
0.000144 |
2 |
1.93 |
0.386 |
-0.006 |
0.000036 |
3 |
1.92 |
0.384 |
-0.008 |
0.000064 |
4 |
1.91 |
0.382 |
-0.010 |
0.000100 |
5 |
2.00 |
0.400 |
0.008 |
0.000064 |
6 |
2.10 |
0.420 |
0.028 |
0.000784 |
7 |
1.95 |
0.390 |
-0.002 |
0.000004 |
|
|
0.392 |
|
|
b) dla pierwszego przypadku.
|
t [s] |
T1 |
|
|
1 |
2.20 |
0.440 |
-0.003 |
0.000009 |
2 |
2.18 |
0.436 |
-0.007 |
0.000027 |
3 |
2.21 |
0.442 |
-0.001 |
0.000001 |
4 |
2.22 |
0.444 |
0.001 |
0.000001 |
5 |
2.23 |
0.446 |
0.003 |
0.000009 |
6 |
2.25 |
0.450 |
0.007 |
0.000021 |
7 |
2.22 |
0.444 |
0.001 |
0.000001 |
|
|
0.443 |
|
|
c) dla drugiego przypadku
|
t [s] |
T2 |
|
|
1 |
2.70 |
0.540 |
-0.002 |
0.000004 |
2 |
2.72 |
0.544 |
0.002 |
0.000004 |
3 |
2.73 |
0.546 |
0.004 |
0.000016 |
4 |
2.71 |
0.542 |
0.0 |
0.0 |
5 |
2.71 |
0.542 |
0.0 |
0.0 |
6 |
2.72 |
0.544 |
0.002 |
0.000004 |
7 |
2.70 |
0.540 |
-0.002 |
0.000004 |
|
|
0.542 |
|
|
d) dla trzeciego przypadku
|
t [s] |
T3 |
|
|
1 |
3.50 |
0.700 |
-0.004 |
0.000016 |
2 |
3.51 |
0.702 |
-0.002 |
0.000008 |
3 |
3.53 |
0.706 |
0.002 |
0.000008 |
4 |
3.50 |
0.700 |
-0.004 |
0.000016 |
5 |
3.54 |
0.708 |
0.004 |
0.000016 |
6 |
3.55 |
0.710 |
0.006 |
0.000036 |
7 |
3.50 |
0.700 |
-0.004 |
0.000016 |
|
|
0.704 |
|
|
e) dla czwartego przypadku
|
t [s] |
T4 |
|
|
1 |
4.00 |
0.800 |
0.011 |
0.000121 |
2 |
3.95 |
0.790 |
0.001 |
0.000001 |
3 |
3.90 |
0.780 |
-0.009 |
0.000081 |
4 |
3.85 |
0.770 |
-0.019 |
0.000361 |
5 |
3.80 |
0.760 |
-0.029 |
0.000841 |
6 |
4.00 |
0.800 |
0.011 |
0.000121 |
7 |
4.10 |
0.820 |
0.031 |
0.000961 |
|
|
0.789 |
|
|
7.
N = 4 , ilość odważników
a) dla pierwszego przypadku: J1 = 151936.891
b) dla drugiego przypadku: J2 = 2042482.927
c) dla trzeciego przypadku: J3 = 7718566.524
d) dla czwartego przypadku: J4 = 13945964.720
8.
a) dla pierwszego przypadku: D1 = 30572648.18 ΔD1 = 0.0001
b) dla drugiego przypadku: D2 = 273991442.7 ΔD2 = 0.001
c) dla trzeciego przypadku: D3 = 613734970 ΔD3 = 0.001
d) dla czwartego przypadku: D4 = 882848960.8 ΔD4 = 0.005
9.
6