Te whakaterenga pūtoro – ngā raruraru me ngā otinga

1. Ko tēhea kauwhata i raro nei e whakaatu ana i te whanaungatanga i waenga i te whakaterenga porotītaha, te whakaterenga porowhita rānei (a _R ) me te tere rārangi (v) i roto i te nekehanga porowhita ōrite.

Whakaterenga pūtoro – ngā raruraru me ngā otinga 1

Rongoā:

Ko te whārite o te whakaterenga porowhita:

a _R = whakaterenga porowhita , v = tere rārangi , r = tawhiti mai i te tuaka hurihuri.

Ka rangahauhia e mātou te whanaungatanga i waenga i te whakaterenga porowhita (a _R ) me te tere rārangi (v) kia pumau ai te tawhiti mai i te tuaka hurihuri (r). Hei tauira, r = 1.

Whakaterenga pūtoro – ngā raruraru me ngā otinga 3

2. E hurihuri ana tētahi pōro i roto i tētahi ipu he 1 mita te whānui. Mēnā he 50 rpm te tere koki, he aha te tere rārangi me te whakaterenga porowhita o te pōro?

Mōhiotia:

Te whānui o te porowhita (D) = 1 m

Te whānui o te porowhita (r) = 0,5 m

Tere koki (ω) = 50 rpm = 50 hurihanga / 1 meneti

1 hurihanga = 2π rātiana

50 hurihanga = 50 (2π rātiana) = 100π rātiana

1 meneti = 60 hēkona

Tere koki (ω) = 100π rātiana / 60 hēkona = (10π/6) rātiana/hēkona

E hiahiatia ana: Tere rārangi (v) me te whakaterenga radial (a _R )

Rongoā:

Tere rārangi (v):

v = r ω = (0.5)(10π/6) = 5π/6 m/s

Whakaterenga pūtoro (a _R ):

a _R = v ² /r = (5π/6) ² : 0.5 = 25π ² /36 : 0.5 = (25π ² /36)(1/0.5)

a _R = (25π ² /18) m/s ²

3. Ka haere tētahi mea i te tere pumau v i roto i tētahi porowhita me te radius o R me te whakaterenga radius a _R. Mēnā ka rua ngā whakarea o te whakaterenga radius, ka huri te v hei ………. whakarea, ā, ka huri te radius hei ………. whakarea

Rongoā:

Ko te whārite o te whakaterenga porowhita:

Mena ko te whakaterenga ā-pūngao (a _R ) = 1, ko te tere rārangi (v) = 1 me te ā-pūngao (r) = 1:

Mena ko te whakaterenga ā-pūngao (a _R ) = 2, ko te tere rārangi (v) = 2 me te ā-pūngao (r) = 2:

Ki te rua te whakarea o te whakaterenga porowhita, ka rua te whakarea o te tere rārangi (v), ā, ka rua hoki te whakarea o te porowhita.

P: He aha te whakaterenga porowhita, ā, he aha tōna hononga ki te nekehanga porowhita? A: Ko te whakaterenga pūtoro te tere o te huringa o te tere pūtoro i roto i te nekehanga porowhita. Ka anga tonu ki te pokapū o te porowhita, ā, ko tōna rahi ka hoatu e $a_{r} = v ^{2}$ ,/r kei hea $v$ ko te tere tangential, ā, $r$ ko te pūtoro o te porowhita.
P: He aha te whakaterenga pūtoru i kiia ai ko te whakaterenga pokapū? A: Ka kiia te whakaterenga pūtoru ko te whakaterenga porotītaha nā te mea ko te tikanga o te kupu "porotītaha" ko te "rapu pokapū." Ka anga atu tēnei whakaterenga ki te pokapū o te ara porowhita, e whakaahua ana i te āhua o te kaha e hiahiatia ana hei pupuri i te mea kia neke i taua ara.
P: Me pēhea te huri o te whakaterenga porowhita mēnā ka takiruahia te porowhita o te porowhita i te mea ka mau tonu te tere? A: Ki te whakareatia te pūtoro, ā, ka noho pūmau te tere, ka hauruatia te whakaterenga pūtoro, nā te mea he ōrite whakamuri ki te pūtoro.
P: Ka taea te whakaterenga porowhita i roto i te nekehanga rārangi-tika? He aha ai, he aha ai rānei? A: Kāo, ko te whakaterenga porowhita e pā ana ki te whakaterenga i roto i te nekehanga porowhita. Kāore e pā ki te nekehanga rārangi-tika nā te mea kāore he huringa pumau o te ahunga ki tētahi pūwāhi pokapū pumau.
P: Mena kei te takoto kau tetahi mea i roto i te ara porowhita, he aha tōna whakaterenga porowhita? A: Ki te takoto kau ana te mea, ko te tere pātata he kore, ā, nō reira, ko tōna whakaterenga porowhita he kore anō hoki.
P: He aha te hononga o te whakaterenga pūrua (pokapū) ki te kaha pūrua? A: Ko te whakaterenga pūrua he whakaterenga tūturu ki waenganui o te ara porowhita, engari ko te kaha pūrua he kaha rūpahu e ahua mahi ana ki waho ina tirohia mai i te anga tohutoro hurihuri. He ōrite te rahi engari he rerekē te ahunga.
P: Ka aha te whakaterenga porowhita mēnā ka takiruahia te tere o te mea e neke ana i te ara porowhita? A: Ki te whakareatia te tere, ka whakareatia te whakaterenga ā-whā. He rite te whakaterenga ā-whā ki te tapawhā o te tere, nō reira mā te whakareatia te tere ka whakanuia te whakaterenga mā te whakarea o te whā.
P: He aha te mahi a te waku ki te whakarato i te whakaterenga radial mō te motuka e huri ana? A: Mā te waku i waenganui i ngā potae me te rori ka puta te kaha pokapū e hiahiatia ana mō te whakaterenga radial. Ki te kore te waku e ranea, e kore e taea e te motuka te huri i te ahunga me te pupuri i te ara porohita, engari ka haere tonu i te rārangi tika.
P: Ka taea te whakararu i te whakaterenga radial? He aha, he aha rānei kāore? A: Ka anga tonu te whakaterenga pūtoro ki te pokapū o te porowhita, nō reira ka tautuhia he pai i taua ahunga. Kāore e taea te kino nā te mea ko te ahunga o te whakaterenga pūtoro e anga ana ki te pokapū o te porowhita.
P: He aha te pānga o te kaha ā-papa ki te whakaterenga porowhita i roto i te take o ngā mea o te rangi pērā i ngā aorangi e porowhita ana i te rā? W: Mō ngā aorangi e porowhita ana i te rā, ko te kaha ā-papa i waenganui i ngā tinana e rua e mahi ana hei kaha pokapū, e whakarato ana i te whakaterenga porowhita e hiahiatia ana hei pupuri i te aorangi i roto i tōna porowhita porowhita (tata porowhita rānei). Mā te kaha ā-papa ka neke te aorangi i roto i te ara huri noa i te rā, kaua e neke atu i roto i te rārangi tika.