Te kaha pūrua – ngā raruraru me ngā otinga

Te kaha pūrua – ngā raruraru me ngā otinga

1. He pōro 200-karamu te taumaha, e piri ana ki te pito o te taura, e hurihia ana i roto i te porowhita whakapae me te tere koki o te 5 rad s^-1Mena he 60 cm te roa o te taura, he aha te kaha centripetal?

Kkua mōhiotia

Ngā Mea papatipu (m) = 200 karamu = 200/1000 kg = 2/10 kg = 0.2 kg

Tere koki (ω) = 5 rad/s

Te roa o te taura = te pūtoro (r) = 60 henemita = 60/100 m = 0.6 m

E hiahiatia ana: Te kaha pokapū

Rongoā:

Ko te kaha pokapū te kaha hua e hua ai te whakaterenga pokapū.

Te whārite o te kaha pokapū:

∑F = ma_s

∑F = mv²/r = mω² r

∑F= Te kaha pokapū, m = te papatipu o te mea, v = tere rārangi, ω = tere nekehanga, r = te pūtoro

∑F = mω² r = (0.2)(5)² (0.6) = (0.2)(25)(0.6) = 3 N

2. He kōhatu e piri ana ki te pito o te taura, ā, ka hurihia i roto i te porowhita whakapae e te ākonga. Mena ko te tere whakamutunga o te kōhatu = 2 x te tere tīmatanga, he aha te kaha pokapū?

Mōhiotia:

Papatipu o te kōhatu = m

Te tere o te kōhatu = v

Te roa o te taura = te pūtoro = r

Hiahia: Te kaha pokapū

Rongoā:

3. Kua hangaia he rori piko, he pūtoro R, kia tere ai te haere o tētahi waka i te tere o te 10 ms^-1 ka taea te whiriwhiri haumaru i te tahuritanga. Ko te tauwehenga o te waku pumau i waenganui i te motuka me te rori = 0.5. He aha te radius? Whakaterenga na te kaha o te kaha (g) = 10 ms^-2.

Mōhiotia:

Tere (v) = 10 m/s

Ko te tauwehenga o te waku pateko i waenga i te motuka me te rori (μ_s) = 0.5

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

Hiahia: pūtoro

Rongoā:

Ko te kaha anake i te ahunga whakapae ko te kaha o te waku pumau. Ko te whārite o te waku pumau:

4. Ko te tauwehenga o te waku pao i waenga i te potae me te rori he 0.4. Mena ko te whakaterenga nā te kaha ā-papa he 10 m/s², he aha te tere mōrahi kia taea ai e te motuka te tahuri me te kore e paheke i waho i te ara piko.

Mōhiotia:

Tauwehenga o te waku pateko (μ)_s) = 0.4

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

Te whānui o te ara (R) = 40 mita

Hiahia: tere mōrahi (v)

Rongoā:

Ko te whārite o te ture tuarua a Newton i roto i te nekehanga porowhita ōrite:

ΣF = kaha centripetal = kaha kupenga, m = mkaihe, he_s = whakaterenga pokapū, v = tere raina, R = te radius o te ara

Te kaha pokapū

Ko te kaha pūrua te kaha kupenga e whakaputa ana i ngā whakaterenga pūrua. I tēnei wā, ko te kaha pūrua te kaha o te waku pumau.

Te whārite o te kaha o te waku pateko:

μ_s = te tauwehenga o te waku pumau, w = taimaha, m = papatipu, g = te whakaterenga nā te kaha ā-papa

Te tere mōrahi (w) :

1. He aha te kaha pokapū?
   • whakahoki: Ko te kaha pūrua te kaha e pā ana ki tētahi mea e neke ana i te ara porowhita, e anga ana ki waenganui o te porowhita, o te ara rānei. Koia te kawenga mō te pupuri i te mea i roto i tōna nekehanga porowhita.
2. He aha te rerekētanga o te kaha pokapū me te kaha pokapū?
   • whakahoki: Ko te kaha pūrua he kaha tūturu e pā ana ki tētahi mea kia neke tonu i roto i te ara porowhita. Ko te kaha pūrua, i tētahi atu ringa, he kaha e kitea ana e pana ana i tētahi mea kia matara atu i te pokapū o tētahi porowhita ina tirohia mai i tētahi anga tohutoro hurihuri. He maha ngā wā ka kiia te kaha pūrua he kaha "rūpahu" he "rūpahu" rānei.
3. He aha te mea ka tupu mēnā ka tangohia ohoreretia te kaha pokapū i runga i tētahi mea e hurihuri ana?
   • whakahoki: Ki te tangohia ohoreretia te kaha pokapū i runga i tētahi mea hurihuri, ka neke te mea i te rārangi tika e pātata ana ki te ara porowhita i te pūwāhi i tangohia ai te kaha, e whai ana i te ture nekehanga tuatahi a Newton.
4. Me pēhea te huri o te kaha pokapū e hiahiatia ana me te pūtoro o te ara porowhita mō te tere pumau?
   • whakahoki: He rite whakamuri te kaha pūwaewae e hiahiatia ana ki te pūtoro o te ara porowhita. Mēnā ka noho pūmau te tere engari ka piki ake te pūtoro, ka heke te kaha pūwaewae e hiahiatia ana, ā, ka heke anō hoki.
5. Me pēhea te hurihanga o te kaha pokapū mēnā ka takiruahia te tere o tētahi mea i roto i te nekehanga porowhita?
   • whakahoki: He rite tonu te kaha pūwaewae ki te tapawhā o te tere o te mea. Nō reira, ki te whakareatia te tere, ka whā ngā wā ka nui ake te kaha pūwaewae e hiahiatia ana.
6. Ka taea e te kaha ā-papa te mahi hei kaha pokapū?
   • whakahoki: Ae, ka taea e te kaha ā-papa te mahi hei kaha pokapū. Ko tētahi tauira matua ko te kaha ā-papa i waenganui i a Papatūānuku me te Marama, e pupuri ana i te Marama i tōna porowhita huri noa i a Papatūānuku.
7. He aha koe ka pēhia ai ki te taha ina huri koi ana koe i roto i te motuka?
   • whakahoki: Ina huri koi te motuka, ka mahi te kaha pūtahi ki waenganui o te hurihanga, ka pupuri i te motuka i tōna ara porowhita. Heoi, ka haere tonu tō tinana i te rārangi tika nā te koretake. Ko tēnei pana ki waho e rongohia ana e koe he tauhohenga ki te kaha pūtahi, ā, he maha ngā wā ka pohehetia ko te "kaha pūtahi".
8. He pēhea te pānga o te papatipu o tētahi mea ki te kaha pokapū e hiahiatia ana mō te nekehanga porowhita i te tere pumau?
   • whakahoki: He rite tonu te kaha pūwaewae e hiahiatia ana ki te papatipu o te mea. Mēnā ka takiruahia te papatipu o te mea, ka takirua anō hoki te kaha pūwaewae e hiahiatia ana, i te mea ka noho pūmau te tere me te pūtoro.
9. He aha te mahi a te waku i roto i te kaha pokapū ina tahuri te motuka?
   • whakahoki: Ina tahuri te motuka, ko te kaha waku i waenganui i ngā potae me te rori te mea e whakarato ana i te kaha pokapū e tika ana hei pupuri i te motuka i te ara piko. Mēnā kāore he waku (hei tauira, i runga i te rori hukapapa), kāore e taea e te motuka te huri, ā, ka paheke ki waho.
10. Ka taea e te kume i roto i te aho te mahi hei kaha pokapū?

• whakahoki: Ae, ka taea e te kume i roto i te aho, i te taura rānei te mahi hei kaha pokapū. Hei tauira, ina hurihia tetahi mea i roto i te ara porowhita mā te whakamahi i te aho, ka whakaratohia e te kume i roto i te aho te kaha pokapū e tika ana hei pupuri i te mea kia neke i roto i te porowhita.