Dla wielkości r0 , rk , rp , d obliczono niepewność standardową typu B:
Działka elementarna-0,1mm
$$u\left( r_{0} \right) = u\left( r_{k} \right) = u\left( r_{p} \right) = u\left( d \right) = \frac{0,1\lbrack mm\rbrack}{\sqrt{3}} = 0,058\lbrack mm\rbrack$$
Niepewność standardową r obliczono z zależności:
$$u\left( r \right) = \sqrt{{\lbrack\frac{\partial r}{\partial d}u\left( d \right)\rbrack}^{2} + {\lbrack\frac{\partial r}{\partial r_{0}}u\left( r_{0} \right)\rbrack}^{2}} = \sqrt{{\lbrack 0,5\ u\left( d \right)\rbrack}^{2} + {\lbrack u\left( r_{0} \right)\rbrack}^{2}} = \sqrt{{\lbrack 0,5\ \bullet 0,058\rbrack}^{2} + {\lbrack 0,058\rbrack}^{2}} = 0,065\lbrack mm\rbrack$$
Niepewność standardową h wyznaczono metodą typu B:
$$u\left( h \right) = \frac{1\lbrack mm\rbrack}{\sqrt{3}} = 0,58\lbrack mm\rbrack$$
Niepewność wielkości t wyznaczono metodą typu A:
$$u\left( t \right) = \sqrt{\frac{\sum_{i = 1}^{n}{(t_{i} - \overset{\overline{}}{t})}^{2}}{n(n - 1)}}$$
$$\overset{\overline{}}{t} = \frac{\sum_{i = 1}^{n}t_{i}}{n}$$
$$\overset{\overline{}}{t_{1}} = 2,22\left\lbrack s \right\rbrack$$
u(t1)=0, 0027[s]
$$\overset{\overline{}}{t_{2}} = 2,31\left\lbrack s \right\rbrack$$
u(t2)=0, 0084[s]
$$\overset{\overline{}}{t_{3}} = 2,36\left\lbrack s \right\rbrack$$
u(t3)=0, 0071[s]
Niepewność wielkości Id wyznaczono nastepująco:
$$u\left( I_{d} \right) = \sqrt{{\lbrack\frac{\partial I_{d}}{\partial r}u\left( r \right)\rbrack}^{2} + {\lbrack\frac{\partial I_{d}}{\partial t}u\left( t \right)\rbrack}^{2} + {\lbrack\frac{\partial I_{d}}{\partial h}u\left( h \right)\rbrack}^{2}} = \sqrt{{\lbrack 2mr\left\lbrack \frac{gt^{2}}{2h} - 1 \right\rbrack u(r)\rbrack}^{2} + {\lbrack 2mr^{2}\frac{\text{gt}}{2h}\ u\left( t \right)\rbrack}^{2} + {\lbrack - 2mr^{2}\frac{gt^{2}}{2h^{2}}u\left( h \right)\rbrack}^{2}}$$
$$u\left( I_{d,1} \right) = \sqrt{\begin{matrix}
\left\lbrack 2 \bullet 0,4153 \bullet 0,00488\left\lbrack \frac{9,81 \bullet {2,22}^{2}}{2 \bullet 0,410} - 1 \right\rbrack 0,000065 \right\rbrack^{2} + \left\lbrack 2 \bullet 0,4153 \bullet {0,00488}^{2}\frac{9,81 \bullet 2,22}{2 \bullet 0,410}\ 0,0027 \right\rbrack^{2} \\
+ {\lbrack - 2 \bullet 0,4153 \bullet {0,00488}^{2}\frac{9,81{\bullet 2,22}^{2}}{2{\bullet 0,410}^{2}}0,00058\rbrack}^{2} \\
\end{matrix}} = 1,5 \bullet 10^{- 5}\lbrack kgm^{2}\rbrack$$
$$u\left( I_{d,2} \right) = \sqrt{\begin{matrix}
\left\lbrack 2 \bullet 0,5546 \bullet 0,00488\left\lbrack \frac{9,81 \bullet {2,31}^{2}}{2 \bullet 0,410} - 1 \right\rbrack 0,000065 \right\rbrack^{2} + \left\lbrack 2 \bullet 0,5546 \bullet {0,00488}^{2}\frac{9,81 \bullet 2,31}{2 \bullet 0,410}\ 0,0084 \right\rbrack^{2} \\
+ \left\lbrack - 2 \bullet 0,5546 \bullet {0,00488}^{2}\frac{9,81{\bullet 2,31}^{2}}{2{\bullet 0,410}^{2}}0,00058 \right\rbrack^{2} \\
\end{matrix}}$$
=2, 3 • 10−5[kgm2]
$$u\left( I_{d,3} \right) = \sqrt{\begin{matrix}
\left\lbrack 2 \bullet 0,6735 \bullet 0,00488\left\lbrack \frac{9,81 \bullet {2,36}^{2}}{2 \bullet 0,410} - 1 \right\rbrack 0,000065 \right\rbrack^{2} + \left\lbrack 2 \bullet 0,6735 \bullet {0,00488}^{2}\frac{9,81 \bullet 2,36}{2 \bullet 0,410}\ 0,0071 \right\rbrack^{2} \\
+ {\lbrack - 2 \bullet 0,6735 \bullet {0,00488}^{2}\frac{9,81{\bullet 2,36}^{2}}{2{\bullet 0,410}^{2}}0,00058\rbrack}^{2} \\
\end{matrix}} = 2,9 \bullet 10^{- 5}\lbrack kgm^{2}\rbrack$$
Niepewność wielkości It wyznaczono następująco:
$$u\left( I_{t} \right) = \sqrt{{\lbrack\frac{\partial I_{t}}{\partial r_{0}}u\left( r_{0} \right)\rbrack}^{2} + {\lbrack\frac{\partial I_{t}}{\partial r_{p}}u\left( r_{p} \right)\rbrack}^{2} + {\lbrack\frac{\partial I_{t}}{\partial r_{k}}u\left( r_{k} \right)\rbrack}^{2}} = \sqrt{{\lbrack{(m}_{0}{+ m_{k})r}_{0}u\left( r_{0} \right)\rbrack}^{2} + {\lbrack m_{p}r_{p}u\left( r_{p} \right)\rbrack}^{2} + {\lbrack{(m}_{0}{+ m_{k})r}_{k}u\left( r_{k} \right)\rbrack}^{2}}$$
$$u\left( I_{t,1} \right) = \sqrt{\begin{matrix}
{\lbrack(0,0325{+ 0,124) \bullet 0,00425\ \bullet}_{}0,0000058\rbrack}^{2} + \left\lbrack 0,2588 \bullet 0,0524 \bullet 0,0000058 \right\rbrack^{2} \\
+ {\lbrack(0,0325 + 0,124) \bullet 0,0428 \bullet 0,0000058\rbrack}^{2} \\
\end{matrix}} = 8,8 \bullet 10^{- 8}\lbrack kgm^{2}\rbrack$$
$$u\left( I_{t,2} \right) = \sqrt{\begin{matrix}
{\lbrack(0,0325{+ 0,124) \bullet 0,00425\ \bullet}_{}0,0000058\rbrack}^{2} + \left\lbrack 0,3981 \bullet 0,0524 \bullet 0,0000058 \right\rbrack^{2} \\
+ {\lbrack(0,0325 + 0,124) \bullet 0,0428 \bullet 0,0000058\rbrack}^{2} \\
\end{matrix}} = 1,3 \bullet 10^{- 7}\lbrack kgm^{2}\rbrack$$
$$u\left( I_{t,3} \right) = \sqrt{\begin{matrix}
{\lbrack(0,0325{+ 0,124) \bullet 0,00425\ \bullet}_{}0,0000058\rbrack}^{2} + \left\lbrack 0,517 \bullet 0,0524 \bullet 0,0000058 \right\rbrack^{2} \\
+ {\lbrack(0,0325 + 0,124) \bullet 0,0428 \bullet 0,0000058\rbrack}^{2} \\
\end{matrix}} = 1,6 \bullet 10^{- 7}\lbrack kgm^{2}\rbrack$$