- niepewność złożona
uc(g)=$\sqrt{{\lbrack\frac{- 8\pi^{2}L}{T^{3}}\ \times u(T)\rbrack}^{2} + \ {\lbrack\frac{4\pi^{2}}{T^{2}}\ \times u(l)\rbrack}^{2}}$
uc(g1)= $\sqrt{{\lbrack\frac{- 8\pi^{2}0,787}{{1,76}^{3}}\ \times 0,0054\rbrack}^{2} + \ {\lbrack\frac{4\pi^{2}}{{1,76}^{2}}\ \times 0,0006\rbrack}^{2}} =$ 0,0620
uc(g2) $= \sqrt{{\lbrack\frac{- 8\pi^{2}0,537}{{1,48}^{3}}\ \times 0,0054\rbrack}^{2} + \ {\lbrack\frac{4\pi^{2}}{{1,48}^{2}}\ \times 0,0006\rbrack}^{2}} =$ 0,0715
$u_{c}\left( g_{3} \right) = \sqrt{{\lbrack\frac{- 8\pi^{2}0.645}{{1,62}^{3}}\ \times 0,0054\rbrack}^{2} + \ {\lbrack\frac{4\pi^{2}}{{1,62}^{2}}\ \times 0,0006\rbrack}^{2}} = \ $0,0653
$u_{c}\left( g_{4} \right) = \sqrt{{\lbrack\frac{- 8\pi^{2}0,644}{{1,61}^{3}}\ \times 0,0054\rbrack}^{2} + \ {\lbrack\frac{4\pi^{2}}{{1,61}^{2}}\ \times 0,0006\rbrack}^{2}} =$ 0,0664
-niepewność rozszerzona
U(g) = k × uc(g)
współczynnik k=2
U(g1)=2 × 0, 0620 = 0, 124
U(g2)=2 × 0, 0715 = 0, 143
U(g3)=2 × 0, 0653 = 0, 131
U(g4)=2 × 0, 0664 = 0, 133
g1= 10,002 ± 0,124 $\lbrack\frac{m}{s^{2}}\rbrack$
g2= 9,700 ± 0,143$\lbrack\frac{m}{s^{2}}\rbrack$
g3= 9,703 ± 0,131$\lbrack\frac{m}{s^{2}}\rbrack$
g4= 9,795 ± $0,133\lbrack\frac{m}{s^{2}}\rbrack$
- niepewność złożona uc(b) i uc(β)
niepewność standardową u(T)
uB(T) = $\sqrt{\frac{{(\frac{_{d}t}{11})}^{2} + {(\frac{_{e}t}{11})}^{2}}{3}}$=$\sqrt{\frac{{(\frac{0,2}{11})}^{2} + {(\frac{0,2}{11})}^{2}}{3}}$=0,015
$$u_{c}\left( b \right) = \sqrt{{\lbrack\frac{2m}{T^{2}} \times u\left( D \right)\rbrack}^{2} + \left\lbrack \frac{- 2\text{mD}}{T^{2}} \times u(T) \right\rbrack^{2}}$$
uc(b) = 0, 0063
$u_{c}\left( \beta \right) = \sqrt{{\lbrack\frac{T}{T^{2}} \times u\left( D \right)\rbrack}^{2} + \left\lbrack \frac{- D}{T^{2}} \times u(T) \right\rbrack^{2}}$
uc(β) = 0, 003