Nā laʻana o ka neʻe ʻana o ke kihi a me ka neʻe ʻana o ka laina i ka neʻe ʻana o ke kaʻapuni

5 mau laʻana o ka neʻe ʻana o ke kihi a me ka neʻe ʻana o ka laina ma ka neʻe pōʻai

1. Ke kaʻapuni nei kahi huila me ka radius o 30 kenimika i kahi mamao o 10 radians. Pehea ka mamao o kahi kiko ma ka lihi o ka huila e hele ai?
Pahana
ʻO ka mamao ma waena o ka lihi o ka huila a me ke kikowaena o ka huila = ka radius o ka huila.
Ua ʻike ʻia:
Radius (r) = 30 kenimika = 0,3 mika
Kihi (ʻanakē) = 10 mau radian
Nīnau ʻia: ka mamao i hele ʻia
Pane:
ʻO ke ʻano hana no ka pilina ma waena o ka mamao a me ke kihi o ka huakaʻi:
s = r ʻanakē
s = (0,3 mika)(10 radians)
s = 3 mika
ʻO ka mamao i hele ʻia e ke kiko ma ka lihi o ka huila he 3 mika.

2. Hoʻohuli kahi huila me ka radius o 50 kenimika i 360 degere.^oPehea ka mamao o ka hele ʻana o kahi kiko ma ka lihi o ka huila?
Pahana
Ua ʻike ʻia:
Radius (r) = 50 kenimika = 0,5 mika
Kihi (ʻanakē) = 360^o = 6,28 radiana
Nīnau ʻia: ka mamao i hele ʻia?
Pane:
s = r ʻanakē
s = (0,5 mika)(6,28 radians)
s = 3,14 mika
ʻO ka mamao i hele ʻia e ke kiko ma ka lihi o ka huila he 3 mika.

3. Hana kekahi huila me ka radius o 50 kenimika i 2 mau wili. Pehea ka mamao o kahi kiko ma ka lihi o ka huila e hele ai?
Pahana
Ua ʻike ʻia:
Radius = 50 kenimika = 0,5 mika
Kihi (ʻanakē) = 2 huli = (2)(6,28 radians) = 12,56 radians
Nīnau ʻia: ka mamao i hele ʻia?
Pane:
s = r ʻanakē
s = (0,5 mika)(12,56 radians)
s = 6,28 mika
ʻO ka mamao i hele ʻia e ke kiko ma ka lihi o ka huila he 3 mika.

4. Ke neʻe nei kahi kiko ma ka lihi o kahi propeller 2-mika ke anawaena i kahi mamao o 100 mika. E hoʻoholo i ke kihi o ka hele ʻana o ka propeller. E hōʻike iā ia ma nā radians, nā degere, a me nā hoʻohuli.
Pahana
Ua ʻike ʻia:
Radius (r) = ½ (ke anawaena) = ½ (2 mika) = 1 mika
Ka mamao i hele ʻia (s) = 100 mika
Pane:
(a) Ke kihi huakaʻi (ma nā radians)
ʻanakē = s / r = 100 / 1 = 100 mau radian
(b) Ke kihi huakaʻi (ma nā kekelē)

1 radyana = 360^o
100 radians = 100(360^o) = 36.000 mau radian
(c) Ke kihi huakaʻi (i nā hoʻohuli)
6,28 radians = 1 kipi
36.000 / 6,28 = 5732,484 milo

5. Neʻe kahi ʻāpana i loko o kahi pōʻai no 10 mika a hele i kahi kihi o 180^oHe aha ka radius o ke ala pōʻai o ka ʻāpana?
Pahana
Ua ʻike ʻia:
Ka mamao i hele ʻia (s) = 10 mika
Kihi (ʻanakē) = 180^o = 3,14 radiana
Nīnau ʻia: radius (r)?
Pane:
r = s / ʻanakē = 10 / 3,14 = 3,18 mika

Catatan:
I ka hoʻoponopono ʻana i ka pilikia, inā ʻike ʻia ke kihi ma ke ʻano o nā kipi a i ʻole nā ​​degere, a laila e hoʻololi mua iā ia i radians.