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

1. Kei te porowhita whakapae te porowhita i te pito o te aho, he 2 mita te whānui o te pūtoro i te tere koki pumau 10 rad/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

Mōhiotia:

pūtoro (r) = 0.5 mitas, 1 mita, 3 mita

Te tere koki = 10 rātianas/seāhuatanga

E hiahiatia ana: te tere rārangi

Rongoā:

v = r ω

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

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

v = r ω = (0.5 mitas)(10 rad/s) = 5 mitas/seāhuatanga

(B) Te tere raina (V) o tētahi pūwāhi kei r = 1 mita

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

v = r ω = (2 mitas)(10 rad/s) = 20 mitas/seāhuatanga

A hi'o atoa Ngā ngaru whakawhiti me ngā ngaru roa – ngā raruraru me ngā otinga

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 10 cm

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 rārangi

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 i te taha o te wira 30 cm i roto i te radius, huri noa i tētahi porowhita i te tere pumau 10 mita/hekona.

He aha te rahi o te tere koki?

Mōhiotia:

Pūtoro (r) = 30 cm = 0.3 mitas

Te tere raina (v) = 10 mitas/seāhuatanga

E hiahiatia ana: te tere koki

Rongoā:

ω = v / r = 10 / 0.3 = 33 ngā rātianas/seāhuatanga

A hi'o atoa Ohm's law - problems and solutions

4. He motuka he 50 henimita te whānui o ngā potae haerels 10 mita ki roto 1 tuarua. He aha te tere koki?

Mōhiotia:

pūtoro (r) = 0.25 mita

Te tere rārangi o tētahi te pito i te taha o te potae (v) = 10 mitas/seāhuatanga

Hiahia: Te tere koki

Rongoā:

ω = v / r = 10 / 0.25 = 40 ngā rātianas/seāhuatanga

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 mitas

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:

tere o te taha o te wira:

v = r ω = (0.2 mitas)(12.56 rātianas/seāhuatanga) = 2.5 mitas/seāhuatanga

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.

Na ko te tawhiti 25 mitas.

A hi'o atoa Manometer tube – problems and solutions

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