\(r_1 = 6370km\) i ka honua (ma ke ʻano he sphere me \(r_1 = 6370km\) ) a me kahi pea (ma ke ʻano he sphere me \(r_2 = 2mm\) ) a \(r_2 = 2mm\) i ke kaula ma luna o ka equator e moe pono ia ma luna. I kēia manawa hoʻolōʻihi ʻoe i nā kaula ʻelua i hoʻokahi mika i kēlā me kēia. E moe pono loa nā kaula ʻelua i luna o ka equator - ʻaʻole lākou e moe moe hou ma ka ʻili, akā e kau i luna o ka equator. Pehea ke kiʻekiʻena o ka papa e lana ai ke kaula ma luna o ka honua, pehea ke kiʻekiʻena o ka pi?
Loaʻa i nā kaula ʻelua ka lōʻihi mua:
$$
l_1 = 2\cdot 6370 km \cdot \pi \Leftrightarrow r_1 = 6370 km = \frac{l_1}{2 \cdot \pi}
$$
e like me
$$
l_2 = 2 \cdot 2mm \cdot \pi \Leftrightarrow r_2 = 2mm = \frac{l_2}{2 \cdot \pi}.
$$
Akā i kēia manawa aia ma hope o ka hoʻolōʻihi
$$
r_{1 NEU} = \frac{l_1 + 1m}{2\cdot \pi}
$$
e like me
$$
r_{2 NEU} = \frac{l_2 + 1m}{2\cdot \pi}.
$$
Akā kupaianaha kēia manawa
$$
r_{1 NEU} - r_1 = \frac{l_1 + 1m}{2\cdot \pi} - \frac{l_1}{2\cdot \pi} = \frac{l_1 + 1m - l_1}{2 \cdot \pi} = \frac{1m}{2 \cdot \pi} = 0.159m
$$
e like me
$$
r_{2 NEU} - r_2 = \frac{l_2 + 1m}{2\cdot \pi} - \frac{l_2}{2\cdot \pi} = \frac{l_2 + 1m - l_2}{2 \cdot \pi} = \frac{1m}{2 \cdot \pi} = 0.159m.
$$
Pēlā ka mamao mai ka ʻilikai i kūʻokoʻa i ka \(l_1\) a i ʻole \(l_2\) , ʻo ia hoʻi he kūʻokoʻa i ka radii \(r_1\) a i ʻole \(r_2\) nā ʻāpana. Penei ka pane kupaianaha: lana nā kaula ʻelua i ke kiʻekiʻe like \(0.159m\) ) ma luna o ka ʻili.