Wyznaczanie momentu bezwładności i sprawdzanie twierdzenia Steinera.
TARCZA |
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masa tarczy: |
0,414 |
kg |
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π = |
3,14 |
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∆m= |
0,001 |
kg |
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g= |
9,81 |
m/s2 |
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wymiary [m] |
tolerancja ± [m] |
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2d = |
0,115 |
0,0653 |
0,0154 |
0,0001 |
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d = |
0,0575 |
0,0327 |
0,0077 |
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czasy [s] |
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63 |
65 |
109 |
tolerancja ± [s] |
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okresy [s] |
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0,63 |
0,65 |
1,09 |
0,001 |
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stąd: |
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momenty bezwladności [kg*m2] |
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3 |
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I= |
23,48 |
14,19 |
9,38 |
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∆I= |
0,17 |
0,12 |
0,16 |
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z twierdzenia Steinera: |
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stąd: |
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momenty bezwładności [kg*m2] |
wartość średnia |
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I0= |
9,79 |
9,78 |
9,14 |
9,57 |
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∆I0= |
0,25 |
0,16 |
0,17 |
0,19 |
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I0=(9,57 ±0,19)*10-5 kg*m2 |
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MOMENTY BEZWLADNOŚCI PIERŚCIENI |
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pierścień pierwszy |
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masa: |
0,8 |
kg |
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∆m= |
0,001 |
kg |
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Wymiary [m] |
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D |
0,145 |
R |
0,0725 |
tolerancja ± [m] |
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d |
0,115 |
r |
0,0575 |
0,0001 |
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czasy [s] |
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1 |
2 |
3 |
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10-3 |
0,001 |
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72 |
74 |
71 |
wartość średnia [s] |
tolerancja ± [s] |
103 |
1000 |
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okresy [s] |
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0,72 |
0,74 |
0,71 |
0,723 |
0,001 |
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stąd: |
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I= |
5,93 |
10-3 kg*m2 |
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∆I= |
0,00095 |
10-3 kg*m2 |
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z twierdzenia Steinera: |
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stąd: |
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I0= |
3,28 |
10-3 kg*m2 |
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∆I0= |
0,004 |
10-3 kg*m2 |
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I0= |
3,43 |
10-3 kg*m2 |
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∆I0= |
0,015 |
10-3 kg*m2 |
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Walec |
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masa: |
1401 |
g |
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1,401 |
kg |
tolerancja ± [m] |
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∆m= |
0,001 |
kg |
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2R= |
135 |
mm |
R= |
67,5 |
m |
0,0001 |
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2r= |
102 |
mm |
r= |
51 |
m |
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czasy [s] |
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1 |
2 |
3 |
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69 |
69 |
69 |
wartość średnia [s] |
tolerancja ± [s] |
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okresy [s] |
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0,69 |
0,69 |
0,69 |
0,69 |
0,001 |
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10-3 |
0,001 |
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103 |
1000 |
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stąd: |
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I= |
1,61 |
10-3 kg*m2 |
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∆I= |
0,02 |
10-3 kg*m2 |
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z twierdzenia Steinera:
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stąd: |
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I0= |
0,82 |
10-3 kg*m2 |
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∆I0= |
0,02 |
10-3 kg*m2 |
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I0= |
0,84 |
10-3 kg*m2 |
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∆I0= |
0,01 |
10-3 kg*m2 |
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