5 mau laʻana o nā nīnau no ka wikiwiki angular a me ka wikiwiki tangential
1. Ua nakinaki ʻia kahi pōpō i kahi kaula he 2 mika ka lōʻihi a laila hoʻohuli ʻia i loko o kahi pōʻai ākea a hiki i ka neʻe ʻana o ka pōpō me ka wikiwiki angular mau o 10 radians/kekona. E hoʻoholo i ka nui o ka wikiwiki tangential o kahi kiko ʻo ia hoʻi (a) 0,5 mika mai ke axis (b) 1 mika mai ke axis (c) ma ka lihi o ka huila.
Pahana
Ua ʻike ʻia :
Ka lōʻihi o ke kaula = ka radius o ke ala pōʻai (r) = 2 mika
Ka wikiwiki angular = 10 radians/kekona
Ua nīnau ʻia : ka wikiwiki tangential o kahi kiko ma (a) r = 0,5 mika (b) r = 1 mika (c) r = 2 mika
Pane :
ʻO ke ʻano hana no ka pilina ma waena o ka wikiwiki tangential a me ka wikiwiki angular:
(a) Ka wikiwiki tangential (v) o kahi kiko ma r = 0,5 mika
v = (0,5 mika)(10 rad/s) = 5 mika/kekona
(B) Ka wikiwiki tangential (v) o kahi kiko ma r = 1 mika
v = (1 mika)(10 rad/s) = 10 mika/kekona
(c) Ka wikiwiki tangential (v) o kahi kiko ma r = 2 mika
v = (2 mika)(10 rad/s) = 20 mika/kekona
2. ʻO ke alapine o ka wili ʻana o kahi propeller me ke anawaena o 20 cm he 5000 rpm. E hoʻoholo i ka wikiwiki tangential o kahi kiko he (a) 5 cm mai ke axis (b) 10 cm mai ke axis a i ʻole aia ma ka lihi o ka propeller.
Pahana
3. Ke neʻe nei kekahi kiko ma ka lihi o ka huila me ka radius o 30 cm i loko o kahi pōʻai ma ka wikiwiki o 10 mika/kekona. He aha ka wikiwiki angular o ka huila?
Pahana
Ua ʻike ʻia :
Radius (r) = 30 kenimika = 0,3 mika
Ka wikiwiki tangential (v) = 10 mika/kekona
Ua nīnau ʻia : ka wikiwiki kihi?
Pane :
4. Neʻe kekahi kaʻa i 10 mika i kēlā me kēia 1 kekona. Inā he 50 kenimika ke anawaena o nā huila o ke kaʻa, e hoʻoholo i ka wikiwiki kihi o nā huila!
Pahana
Ua ʻike ʻia :
Ka laulā o ka huila (r) = 0,25 mika
Ka wikiwiki o ka lihi o ka huila (v) = 10 mika/kekona
Ua nīnau ʻia : ka wikiwiki kihi o ka huila!
Pane :
5. Inā he 120 rpm ka wikiwiki kihi o ka huila me ka radius o 20 cm, pehea ka mamao e hele ai ke kaʻa ke neʻe ia no 10 kekona?
Pahana
Ua ʻike ʻia :
Ka laulā o ka huila (r) = 20 kenimika = 0,2 mika
Ka wikiwiki kihi o ka huila = 120 mau hoʻololi / 60 kekona = 2 mau hoʻololi / kekona = (2)(6,28) radians / kekona = 12,56 radians / kekona
Ua nīnau ʻia : ka mamao i hele ʻia e ke kaʻa i loko o 10 kekona.
Pane :
Ka wikiwiki o ka ʻaoʻao huila:
ʻO ka wikiwiki o ka lihi o ka huila he 2,5 mika i kekona, ʻo ia hoʻi, e neʻe ana kahi kiko ma ka lihi o ka huila i 2,5 mika i kēlā me kēia kekona. Ma hope o 10 kekona, ua neʻe ke kiko ma ka lihi o ka huila i 25 mika.
No laila, ʻo ka mamao e hele ai ke kaʻa i loko o 10 kekona he 25 mika.
