3 ngā pātai mō te whārite tere koki
1. Ko te radius o tētahi mea e neke ana i te ara porowhita he 0.5 m. Ka taea e te matūriki te hipoki i tētahi koki o te 60π rad i roto i te 15 hēkona. Tātaihia te tere koki o te mea.
Mōhiotia:
Pūtoro (r) = 0.5 mita
Koki (θ) = 60π rād
Wā wā (t) = 15 hēkona
Hiahia: Te tere koki (ω)
Rongoā:
θ = ωt
60π = ω (15)
ω = 60π / 15 = 4π rāti/s
2. Ka huri te wira pahikara, he 30 cm te whānui, i te tere pumau. Ka taea e te takirere potae te huri i te koki o te 120π rad mō te 10 hēkona. Tātaihia te tere koki.
Mōhiotia:
Pūtoro (r) = 30 henemita
Koki (θ) = 120π rād
Wā wā (t) = 10 hēkona
Hiahia: Te tere koki (ω)
Rongoā:
θ = ωt
120π = ω (10)
ω = 120π / 10 = 12π rāti/s
3. Kua takaihia te taura ki tētahi wira, ko te radius R = 25 cm e whakaaturia ana. Mēnā he 5 m/s te tere o tētahi pūwāhi i runga i te taura (pūwāhi A), ko te tere hurihuri o te wira ko…
Mōhiotia:
Pūtoro (r) = 25 henimita = 0.25 mita
Tere (v) = 5 m/s
Hiahia: Te tere koki (ω)
Rongoā:
Ko te tātai mō te whanaungatanga i waenga i te tere koki, te tere rārangi me te pūtoro:
v = rω
5 = (0,25) ω
ω = 5 / 0,25 = 20 rāti/s