Te tere koki me te tere rārangi – ngā raruraru me ngā otinga

1. Kei te porowhita ōrite te porowhita i te pito o te aho i roto i tētahi porowhita whakapae he 2 mita te whānui o te pūtoro i te tere koki pumau 10 rād/s. Tātaihia te rahi o te tere rārangi o tētahi pūwāhi kei:

(a) 0.5 mita mai i te pokapū

(b) 1 mita mai i te pokapū

(c) 2 mita mai i te pokapū

Mōhiotia:

Pūtoro (r) = 0.5 mita s, 1 mita, 3 mita

Ko te tere koki = 10 rātiana s /se āhua

E hiahiatia ana: Te tere raina

Rongoā:

v = rω

v = te tere rārangi , r = te pūtoro , ω = te tere koki

(a) Te tere rārangi (v) o tētahi pūwāhi kei r = 0.5 mita

v = r ω = (0.5 mita s )(10 rad/s) = 5 mita s /s āhua

(b) Te tere rārangi (v) o tētahi pūwāhi kei r = 1 mita

v = r ω = (1 mita)(10 rad/s) = 10 mita s /s āhua

(c) Te tere rārangi (v) o tētahi pūwāhi kei r = 2 mita s

v = r ω = (2 mita s )(10 rad/s) = 20 mita s /s āhua

2. Ka huri ngā mata o te mīhini whakaranu i te tere o te 5000 rpm. Tātaihia te rahi o te tere raina:

(a) he pūwāhi kei te 5 cm mai i te pokapū

(b) he pūwāhi kei te 10 cm mai i te pokapū

Mōhiotia:

Pūtoro (r) = 5 henimita me te 10 henimita

Te tere koki (ω) = 5000 hurihanga / 60 hēkonaoro = 83.3 hurihanga / seāhuatanga = (83.3)(6.28 ngā rātiana) / seāhuatanga = 523.3 rātianas / seāhuatanga

E hiahiatia ana: Te rahi o te tere raina

Rongoā:

(a) Te rahi o te tere rārangi o tētahi pūwāhi kei te 0.05 m mai i te pokapū

v = r ω = (0.05 m)( 523.3 rad/s) = 26 m/s

(b) Te rahi o te tere rārangi o tētahi pūwāhi kei te 0,1 m mai i te pokapū

v = r ω = (0.1 m)( 523.3 rad/s) = 52 m/s

3. He pūwāhi kei te taha o te wira, 30 cm te radius, e karapoti ana i tētahi porowhita i te tere pūmau 10 mita/hekona.

He aha te rahi o te tere koki?

Mōhiotia:

Pūtoro ( r) = 30 henimita = 0.3 mita s

Ko te tere rārangi (v) = 10 mita s /s āhua

E hiahiatia ana: te tere koki

Rongoā:

ω = v / r = 10 / 0.3 = 33 ngā rātiana s /se āhua

4. E 10 mita te tere o tētahi motuka he 50 henimita te whānui o ōna potae i roto i te 1 hēkona. He aha te tere koki?

Mōhiotia:

Pūtoro (r) = 0.25 mita

Ko te tere rārangi o tētahi pūwāhi i te taha o ngā potae (v) = 10 mita s /s āhua

E hiahiatia ana: Te tere koki

Rongoā:

ω = v / r = 10 / 0.25 = 40 ngā rātiana s /se āhua

5. Ko te tere koki o te wira 20 cm i roto i ngā rātiana he 120 rpm. He aha te tawhiti mēnā ka haere te motuka i roto i te 10 hēkona?

Mōhiotia:

Pūtoro (r) = 20 henimita = 0.2 mita s

Te tere koki = 120 whakahou / 60 hēkonangā āhuatanga = 2 whakahou / seāhuatanga = (2)(6.28) rātianas / seāhuatanga = 12.56 rātianas / seāhuatanga

E hiahiatia ana: tawhiti

Rongoā:

Te tere o te taha o te wira:

v = r ω = (0.2 mita s )(12.56 rātiana s /se āhua ) = 2.5 mita s /se āhua

2.5 mitas / seKo te tikanga o te cond he pūwāhi kei te taha o te haere o te wira. 2.5 mitas ia hēkona kotahi. I muri 10ngā āhuatanga, ka haere te pūwāhi 25 mitas.

Nō reira, ko te tawhiti he 25 mita s.

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1. Te huri i ngā waeine koki hei tauira mō ngā raruraru me ngā otinga
2. Ngā tauira raruraru me ngā otinga mō te nekehanga koki me te nekehanga rārangi
3. Ngā tauira rapanga tere koki me te tere raina me ngā otinga
4. Ngā tauira rapanga whakaterenga koki me te whakaterenga raina me ngā otinga
5. Ngā tauira rapanga nekehanga porowhita ōrite me ngā otinga
6. Ngā raruraru tauira whakaterenga pūrua me ngā otinga
7. Ngā tauira o ngā nekehanga porowhita kore-taurite me ngā otinga