2 Ngā tauira o ngā pātai amiorangi tū-ā-whenua
1. Ko ngā amiorangi tū-ā-whenua, ko ngā amiorangi tukutahi-whenua rānei, he amiorangi kei te kotahi te pūwāhi kei runga ake i te ekueta o te Ao. Ka whakamahia ēnei amiorangi hei tuku i ngā tohu whakawhitiwhiti kōrero (pouaka whakaata, waea pūkoro), ngā matapae huarere, me ērā atu mea. Kia pēhea te teitei o ngā amiorangi tū-ā-whenua i runga ake i te mata o te Ao?
G = te pūmau ā-papatipu ao = 6,67 x 10-11 N m2/ kg2
M = te papatipu o te whenua = 5,97 x 1024 kg
T = te wā hurihuri o te amiorangi = te wā hurihuri o Papatūānuku = 24 hāora = 24 (3600 hēkona) = 86.400 hēkona = 8,64 x 104 tuarua
Kōrero
Ka tatauhia te teitei o te amiorangi mā te whakamahi i te tātai e whai ake nei:
Ko r = te tawhiti o te amiorangi mai i te pokapū o te whenua
Ka taea te ako i te pūtake o tēnei tauira i roto i te tuhinga e pā ana ki Amiorangi Whenua Tūmau.
Te tawhiti o te amiorangi mai i te pokapū o te whenua = 4,22 x 107 mita = 4,22 x 104 kiromita = 42.200 kiromita
Te whānui o te ao = 6,38 x 106 mita = 6,38 x 103 kiromita = 6.380 kiromita
Te tawhiti o te amiorangi mai i te mata o te whenua = te tawhiti o te amiorangi mai i te pokapū o te whenua – te pūtoro o te whenua
Te tawhiti o te amiorangi mai i te mata o te whenua = 42.200 km – 6.380 km
Te tawhiti o te amiorangi mai i te mata o te whenua = 35.820 km
Nō reira, ko te teitei o te amiorangi i runga ake i te ekueta he 35.820 kiromita.
2. Kia noho tonu ai te amiorangi tū-ā-whenua i te pūwāhi kotahi i runga ake i te ekueta, me rite te tere porowhita o te amiorangi tū-ā-whenua ki te tere porowhita o te Ao. He aha te tere porowhita o te amiorangi tū-ā-whenua?
G = te pūmau ā-papatipu ao = 6,67 x 10-11 N m2/ kg2
M = te papatipu o te whenua = 5,97 x 1024 kg
r = te tawhiti o te amiorangi mai i te pokapū o te whenua = 4,22 x 107 mita
Kōrero
Ka taea te tatau i te tere o tētahi amiorangi whenua-tūturu mā te whakamahi i tētahi o ngā tātai e rua e whai ake nei.
Ka taea te ako i te pūtake o tēnei tauira i roto i te tuhinga e pā ana ki Amiorangi Whenua Tūturu.
Ko te tere āmiomio o te amiorangi he 3.070 mita ia hekona.
Ka taea te tatau i te tere porowhita o tētahi amiorangi whenua-tūturu mā te whakamahi i te whārite e whai ake nei.
Ko te tere āmiomio o te amiorangi he 3.070 mita ia hekona.