1. Ka huri te wira, he 30 cm te whānui, i te pūmau 5 rad/s 2. He aha te rahi o te whakaterenga rārangi o tētahi pūwāhi kei (a) 10 cm mai i te pokapū (b) 20 cm mai i te pokapū (c) i te taha o te wira?
Mōhiotia:
Pūtoro (r) = 30 henimita = 0.3 m
Whakaterenga koki ( α ) = 5 rad/s 2
E hiahiatia ana: whakaterenga rārangi (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m
Rongoā:
Te whanaungatanga i waenga i te whakaterenga rārangi (a) me te whakaterenga koki:
a = rα
(a) whakaterenga rārangi, r = 0.1 m
a = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) whakaterenga rārangi, r = 0.2 m
a = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
(c) whakaterenga rārangi, r = 0.3 m
a = (0.3 m)(5 rad/s 2 ) = 1.5 m/s 2
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2. He pūreirei he 50 cm te whānui. Mena ko te whakaterenga rārangi o tētahi pūwāhi kei te taha o te pūreire he 2 m/s² , tātaihia te whakaterenga koki o te pūreire!
Mōhiotia:
Pūtoro (r) = 50 henimita = 0,5 m
whakaterenga rārangi (a) = 2 m/s 2
E hiahiatia ana: te whakaterenga koki
Rongoā:
α = a / r = 2 / 0.5 = 4 rad/s 2
3. Ko ngā mata o te mīhini whakaranu he 20 cm te whānui, i te tīmatanga ka okioki. I muri i te 2 hēkona, ka huri ngā mata i te 10 rad/s. Tātaihia te rahi o te whakaterenga rārangi (a) he pūwāhi kei te 10 cm mai i te pokapū (b) he pūwāhi kei te taha o ngā mata.
Mōhiotia:
Pūtoro (r) = 20 henimita = 0.2 m
Ko te tere koki tīmatanga ( ωo ) = 0
Ko te tere koki whakamutunga ( ωt ) = 10 ngā rātiana/hekona
Wā wā (t) = 2 hēkona
E hiahiatia ana: te whakaterenga rārangi o tētahi pūwāhi kei (a) r = 0.1 m (b) r = 0.2 m
Rongoā:
ωt = ωo + αt
10 = 0 + α (2)
10 = 2 ā
α = 10 / 2
α = 5 rad/s
(a) te whakaterenga rārangi o r = 0.1 m
a = r α = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) te whakaterenga rārangi o r = 0.2 m
a = r α = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
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4. Ka whakaterea te wira, he 20 cm te radius, mō te 2 hēkona mai i te 20 rad/s ki te okioki. Tātaihia te rahi o te whakaterenga rārangi (a) he pūwāhi kei te 10 cm mai i te pokapū (b) he pūwāhi kei te 10 cm mai i te pokapū.
Mōhiotia:
Pūtoro (r) = 20 henimita = 0.2 m
Ko te tere koki tīmatanga ( ω o ) = 20 rad/s
Ko te tere koki whakamutunga ( ωt ) = 0
Wā wā (t) = 2 hēkona
E hiahiatia ana: Ko te whakaterenga rārangi (a) r = 0.1 m (b) r = 0.2 m
Rongoā:
ωt = ωo + αt
0 = 20 + α (2)
-20 = 2 ā
α = -20 / 2
α = -10 rad/s
Ko te tohu kino e tohu ana kei te heke te tere koki.
(a) te whakaterenga rārangi o r = 0.1 m
a = r α = (0.1 m)(-10 rad/s 2 ) = -1 m/s 2
(b) te whakaterenga rārangi o r = 0.2 m
a = r α = (0.2 m)(-10 rad/s 2 ) = -2 m/s 2
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