Te huri i ngā wae koki (tohu, rādian, hurihanga)
1. ¼ hurihanga = ….. o ( nekehanga ) ?
otinga
1 hurihanga = 360 °
½ hurihanga = 180 °
¼ hurihanga = 90 °
2. ½ hurihanga = …….. r pānuitanga?
otinga
1 rev = 2 π rad = 2(3.14) rad = 6.28 rad
½ hurihanga = pi rad = 3.14 rad
3. 180 ° = ….. hurihanga ?
otinga
360 o = 1 hurihanga
180 o = ½ hurihanga
[irp]
4. 90 o = ….. rāti ?
otinga
360 o = 2 π rad = 2(3.14) rad = 6.28 rad
180 o = π rāti = 3.14 rāti
90 o = ½ π rad = ½ (3.14) = 1.57
5. 60 rāti = ….. hurihanga?
otinga
6.28 rad = 1 hurihanga
60 rad/6.28 = 9.55 hurihanga
6. 40 rāti= ….. o?
otinga
6.28 rad = 360 o
40 rad/6.28 = (6.37)(360 o ) = 2292.99 o
[irp]
Te nekehanga koki me te nekehanga rārangi
1. E 10 ngā rātiana e hurihurihia ana e te wira pahikara, he 60 henemita te whānui. He aha te nekehanga rārangi o tētahi pūwāhi i te taha o te wira?
Mōhiotia:
Pūtoro (r) = 30 henimita = 0.3 m
Koki (θ ) = 10 ngā rātiana
E hiahiatia ana: te nekehanga rārangi (l)
Rongoā:
l = rθ
l = (0.3 m)(10 rāti)
l = 3 mita
2. Ka huri te wira he 50 cm te radius i te 360 ° . He aha te nekehanga rārangi o tētahi pūwāhi i te taha o te wira?
Mōhiotia:
Pūtoro (r) = 50 henimita = 0.5 mita
Koki ( θ ) = 360 o = 6.28 rātiana
E hiahiatia ana: te nekehanga rārangi (l)
Rongoā:
l = rθ
l = (0.5 m)(6.28 rāti)
l = 3.14 mita
[irp]
3. E 50 cm te whānui o te porowhita e hurihuri ana i ngā hurihanga e rua. He aha te nekehanga rārangi o tētahi pūwāhi i te taha o te wira?
Mōhiotia:
Pūtoro (r) = 50 henimita = 0,5 m
Koki ( θ ) = 2 hurihanga = (2)(6.28 rātiana) = 12.56 rātiana
E hiahiatia ana: te nekehanga rārangi (l)?
Rongoā:
l = rθ
l = (0.5 m)(12.56 rāti)
l = 6.28 mita
4. Kei te taha o te wira he 2 mita te radius, e neke ana i te 100 mita. Tātaihia te nekehanga koki.
Mōhiotia:
Pūtoro (r) = ½ (diameter) = ½ (2 mita) = 1 mita
nekehanga rārangi (l) = 100 mita
Rongoā:
(a) Te nekehanga koki (i roto i ngā rātiana)
θ = s / r = 100 / 1 = 100 ngā rātiana
(b) Te nekehanga koki (i roto i ngā nekehanga)
1 rātiana = 360 o
100 ngā rātiana = 100(360 o ) = 36,000 ngā rātiana
(c) Te nekehanga koki (i te hurihanga)
6.28 ngā rātiana = 1 hurihanga
36,000 / 6.28 = 5732,484 hurihanga
[irp]
5. Ka porowhitahia e tētahi matūriki tētahi porowhita mō te 10 mita, ka huri mō te 180 ° . He aha te pūtoro?
Mōhiotia:
Nekehanga rārangi (l) = 10 mita
Koki ( θ ) = 180 o = 3.14 rātiana
E hiahiatia ana: te pūtoro (r)
Rongoā:
r = l / θ = 10 / 3.14 = 3.18 mita
[irp]
- 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
