Me pēhea te tatau i te whakaterenga koki
Ko te whakaterenga koki he rahinga ā-tinana e whakaahua ana i te huringa o te tere koki o tētahi mea e hurihuri ana, e takahurihuri ana rānei e pā ana ki te wā. He mea nui tēnei rahinga i roto i te maha o ngā rangahau me ngā tono hangarau, mai i te hoahoa mīhini me te whakawhanake i te pūmanawa whakatauira ahupūngao ki te tātari i te nekehanga o ngā tinana o te rangi. I roto i tēnei tuhinga, ka matapakihia e mātou te whakamāramatanga o te whakaterenga koki, ngā ariā taketake e whai wāhi ana, me ngā tikanga mō te tatau i roto i te huarahi māmā me te mārama.
1. Te Whakamāramatanga o te Whakaterenga Koki
Ko te whakaterenga koki (α) e tautuhia ana ko te tere o te huringa o te tere koki (ω) e pā ana ki te wā (t). I roto i te tātai pāngarau, ka taea te whakaatu i te whakaterenga koki penei:
\[ α = \frac{dω}{dt} \]
Kei hea:
– ko α te whakaterenga koki
– ko dω te huringa o te tere koki
– ko te dt te huringa o te wā
Ko te tere koki tonu te maha o ngā hurihanga, ngā koki rānei e whitihia ana mō ia waeine wā, ā, e inehia ana i roto i ngā rātiana ia hekona (rad/s).
2. Te Tere Koki me te Whakatere Koki: Ngā Ariā Taketake
Hei mārama ki te whakaterenga koki, me mārama tuatahi tātou ki te tere koki. Ko te tere koki e whakaatu ana i te tere o te neke o tetahi mea i roto i te porowhita. Hei tauira, ki te huri te wira i te 2 rātiana ia hekona, ko te tikanga o tēnei, ia hekona, ka huri te wira i te 2 rātiana.
Ki te piki ake, ki te heke rānei te tere koki, ko te whakaterenga koki te take. Hei tauira, ki te huri tuatahi te wira i te 2 rātiana ia hekona, ā, ka piki ake tēnei tere ki te 4 rātiana ia hekona i roto i te 2 hēkona, ka taea e tātou te tatau i tōna whakaterenga koki.
3. Tikanga mō te Tatau i te Whakaterenga Koki
He maha ngā tikanga mō te tatau i te whakaterenga koki, i runga i ngā mōhiohio kei a tātou. I tēnei tauira, ka matapakihia e tātou ngā huarahi matua e rua: te whakamahi i ngā raraunga tere koki me te whakamahi i ngā ture o te nekehanga hurihuri.
a. Te Whakamahi i ngā Raraunga Tere Koki
Mehemea kei a koe ngā raraunga tere koki (ω) i ngā pūwāhi rerekē e rua o te wā, arā, ko ω₁ i te wā t₁ me ω₂ i te wā t₂. Ka taea te tatau i te whakaterenga koki (α) mā te whakamahi i te whārite:
\[ α = \frac{ω_2 – ω_1}{t_2 – t_1} \]
Tauira:
Mena kei te hurihuri tētahi wira i te tere o te 3 rad/s i te t = 0 hēkona, ā, ka piki tōna tere ki te 8 rad/s i te t = 5 hēkona, ko tōna whakaterenga koki ko:
\[ α = \frac{8 \, \text{rad/s} – 3 \, \text{rad/s}}{5 \, \text{s} – 0 \, \text{s}} = \frac{5 \, \text{rad/s}}{5 \, \text{s}} = 1 \, \text{rad/s}^2 \]
Nō reira, ko te whakaterenga koki he 1 rad/s².
b. Te Whakamahi i te Ture o te Nekehanga Hurihanga
Mā te whakamahi i ngā ture o te nekehanga hurihuri, ka taea e tātou te tatau i te whakaterenga koki me ētahi atu mōhiohio pēnei i te taipana (Τ) me te wā o te korekore (I). Ko te taipana te kaha hurihuri e meinga ai te mea kia hurihuri, ā, ko te wā o te korekore he ine i te ātete o te mea ki ngā huringa o te nekehanga hurihuri.
Ko te tātai mō te taipana e pā ana ki te whakaterenga koki ko:
\[ Τ = I \cdot α \]
Mai i konei, ka taea e tātou te whakaoti mō te α:
\[ α = \frac{Τ}{I} \]
Tauira:
Mena e mōhiotia ana he 0.5 kg·m² te tere o te inertia (I) o te wira, ā, he 2 N·m te taipana e hoatu ana ki a ia, ka taea te tatau i te whakaterenga koki penei:
\[ α = \frac{2 \, \text{N·m}}{0.5 \, \text{kg·m}^2} = 4 \, \text{rad/s}^2 \]
Nō reira, ko te whakaterenga koki he 4 rad/s².
4. Te Whakamahinga o te Whakaterenga Koki
He mea nui te mārama ki te whakaterenga koki, ehara i te mea i roto i te ahupūngao ariā anake, engari i roto hoki i ngā tono mahi. Ko ētahi tauira o ngā tono ko:
a. Ngā Waka me ngā Mīhini
I roto i te hangarau motuka, he mea nui te mārama ki te whakaterenga koki hei tātari i te mahi a te miihini, inā koa i roto i te hoahoa me te arotau i ngā pūnaha taraiwa me ngā pūnaha whakatārewatanga. Me hoahoa ngā miihini me ngā wira waka kia pai ai te tere koki me te whakaterenga koki mō te whakamarie me te haumaru o te taraiwa.
b. Ngā Hākinakina
I ētahi hākinakina, pērā i te eke pahikara, te whakapakari tinana rānei, he mea nui te whakaterenga koki hei tātari i te mahi a te kaitākaro. Mā te tatau i te whakaterenga koki, ka taea e ngā kaiako me ngā kaitākaro te mārama me te arotau i ngā nekehanga hei whakapai ake i tā rātou mahi.
c. Hangarau Ātea
I roto i te hangarau ātea, he mea nui te whakamahi i te whakaterenga koki hei whakahaere me te whakarerekē i ngā tūranga o ngā amiorangi me ngā waka mokowhiti. Ko te whakahaere tika i te whakaterenga koki te mea nui ki te angitu o ngā misioni ātea.
5. Whakamutunga
He mea nui te mārama ki te tatau i te whakaterenga koki i roto i ngā momo mara hangarau me te pūtaiao. He maha ngā huarahi hei tatau i te whakaterenga koki, i runga i ngā raraunga me ngā mōhiohio e wātea ana, ahakoa mā te whakamahi i te huringa o te tere koki i roto i te wā, mā te whakamahi rānei i te taipana me te wā o te korekore. Mā tēnei māramatanga, ka taea e tātou te whakamahi i te ariā o te whakaterenga koki i roto i te hoahoa mīhini, te whakapai ake i te mahi hākinakina, me te whakawhanake i te hangarau ātea.
Mā te hōhonutanga o tō tātou māramatanga ki te whakaterenga koki me ōna tono, ehara i te mea ka hōhonu ake ngā māramatanga ki ngā whanaketanga hurihuri anake , engari ka whakatuwhera hoki i te ara mō te auahatanga me te whakapainga i roto i ngā momo marautanga me ngā hangarau.
