1. E neke ana tētahi mea i roto i tētahi porowhita me te tere koki pumau o te 10 rad/s. Whakatauhia (a) Te tere koki i muri i te 10 hēkona (b) Te nekehanga koki i muri i te 10 hēkona.
Mōhiotia:
Tere koki (ω) = 10 rad/s
E hiahiatia ana:
(a) Tere koki (ω) i muri i te 10 hēkona.
(b) Koki (θ) i muri i te 10 hēkona
Rongoā:
(a) Tere koki (ω) i muri i te 10 hēkona
He mea porowhita te nekehanga kia ōrite , kia pumau te tere koki, 10 rad/s.
(b) Te nekehanga koki (θ)
Ko te tere koki pumau 10 rātiana/hēkona te tikanga he tata ki te 10 rātiana ia hekona te mea. I muri i te 10 hēkona, ko te mea tata ki te 10 x 10 rātiana = 100 rātiana.
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2. Ka neke porowhita tētahi matūriki me te tere pumau o te 10 m/s. Ko te whānui o te porowhita = 1 mita. Whakatauhia (a) Te tere o te matūriki i muri i te 5 hēkona (b) Te nekehanga o te matūriki i muri i te 5 hēkona (c) Te whakaterenga ā-pokapū.
Mōhiotia:
Te whānui o te porowhita (r) = 1 mita
Te tere o te matūriki (v) = 10 m/s
Rongoā:
(a) Te tere o te matūriki i muri i te 5 hēkona
He rite te nekehanga porowhita ōrite o te mea, ā, he pumau tonu te tere, 10 m/s.
(b) Te nekehanga o te matūriki i muri i te 5 hēkona
Ko te tikanga o te 10 mita/hēkona i ia 1 hēkona, ko te nekehanga o te matūriki = 10 mita. I muri i te 5 hēkona, ko te nekehanga o te matūriki = 5 x 10 mita = 50 mita.
(c) Te whakaterenga ā-pokapū (a r )
a r = v2 / r = 102 / 1 = 100 / 1 = 100 m/ s2
3. He pōro e piri ana ki tētahi pito o te taura, e hurihia ana i roto i tētahi porowhita me te radius o te 2 mita i te tere pumau o te 60 rpm. Whakatauhia (a) te rahi o te tere koki i muri i te 2 hēkona (b) te nekehanga koki i muri i te 1 meneti.
Mōhiotia:
Te whānui o te porowhita (r) = 2 mita
Tere koki (ω) = 60 rpm = 60 hurihanga / 1 meneti
= 60 hurihanga / 60 hēkona = 1 hurihanga / hēkona = 2π rātiana / hēkona
= 2(3.14) ngā rātiana / hēkona= 6.28 ngā rātiana / hēkona
Rongoā:
(a) Tere koki (ω) i muri i te 2 hēkona
He pumau te tere koki, nō reira i muri i te 2 hēkona, ko te tere koki (ω) = 6.28 rātiana/hēkona
(b) Te nekehanga koki (θ)
Ko te tere koki = 1 hurihanga/hēkona, ko tōna tikanga i ia 1 hēkona, ka pāngia te pōro e te 1 hurihanga. I muri i te 60 hēkona, ka neke te pōro i te 60 hurihanga.
Ko te tere koki = 6.28 rātiana/hēkona, ko tōna tikanga i ia 1 hēkona, ka neke te pōro me te koki o te 6.28 rātiana. I muri i te 60 hēkona, ka neke te pōro i te 376.8 rātiana.
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4. E 120 ngā hurihanga ka hurihia e te wira pahikara i roto i te 60 hēkona. He aha te tere koki?
Rongoā:
(a) ngā hurihanga ia meneti (rpm)
120 hurihanga / 60 hēkona = 120 hurihanga / 1 meneti = 120 hurihanga / meneti = 120 rpm
(b) ngā nekehanga ia hekona ( o /s)
1 hurihanga = 360 ° , 120 hurihanga = 43200 °
120 hurihanga / 60 hēkona = (120)(360 o ) / 60 hēkona = 43200 o / 60 hēkona = 720 o /hekona
(c) ngā rātiana ia hekona (rāti/h)
1 hurihanga = 6.28 rātiana
120 hurihanga / 60 hēkona = (120)(6.28) rātiana / 60 hēkona = 753.6 rātiana / 60 hēkona = 12.56 rātiana/hēkona.
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- Te huri i ngā waeine koki hei tauira mō ngā raruraru me ngā otinga
- Ngā tauira raruraru me ngā otinga mō te nekehanga koki me te nekehanga rārangi
- Ngā tauira rapanga tere koki me te tere raina me ngā otinga
- Ngā tauira rapanga whakaterenga koki me te whakaterenga raina me ngā otinga
- Ngā tauira rapanga nekehanga porowhita ōrite me ngā otinga
- Ngā raruraru tauira whakaterenga pūrua me ngā otinga
- Ngā tauira o ngā nekehanga porowhita kore-taurite me ngā otinga
