1. Ke kaʻapuni like nei kahi pōpō ma ka hopena o ke kaula i loko o kahi pōʻai ʻaoʻao o 2 mika ka radius ma ka wikiwiki angular mau 10 rad/s. E hoʻoholo i ka nui o ka wikiwiki linear o kahi kiko i loaʻa:
(a) 0.5 mika mai ke kikowaena
(b) 1 mika mai ke kikowaena
(c) 2 mika mai ke kikowaena
ʻIke ʻia:
Radius (r) = 0.5 mika s, 1 mika, 3 mika
ʻO ka wikiwiki angular = 10 radians s /se cond
Makemake ʻia: Ka wikiwiki linear
Lōlā:
v = rω
ʻo v = ka wikiwiki linear , ʻo r = radius , ʻo ω = ka wikiwiki angular
(a) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 0.5 mika
v = r ω = (0.5 mika s )(10 rad/s) = 5 mika s /se cond
(b) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 1 mika
v = r ω = (1 mika)(10 rad/s) = 10 mika s /se cond
(c) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 2 mika s
v = r ω = (2 mika s )(10 rad/s) = 20 mika s /se cond
2. Hoʻohuli nā pahi i loko o ka blender i ka wikiwiki o 5000 rpm. E hoʻoholo i ka nui o ka wikiwiki linear:
(a) kahi kiko i loaʻa he 5 kenimika mai ke kikowaena
(b) kahi kiko i loaʻa he 10 kenimika mai ke kikowaena
ʻIke ʻia:
Radius (r) = 5 kenimika a me 10 kenimika
Ka wikiwiki kihi (ω) = 5000 kipi / 60 kekonakaiaola = 83.3 kipi / ʻikekūlana = (83.3)(6.28 radians) / sekūlana = 523.3 radianas / ʻikekūlana
Makemake ʻia: Ka nui o ka wikiwiki linear
Lōlā:
(a) Ka nui o ka wikiwiki linear o kahi kiko i loaʻa he 0.05 m mai ke kikowaena
v = r ω = (0.05 m)( 523.3 rad/s) = 26 m/s
(b) Ka nui o ka wikiwiki linear o kahi kiko i loaʻa he 0,1 m mai ke kikowaena
v = r ω = (0.1 m)( 523.3 rad/s) = 52 m/s
3. He kiko ma ka lihi o ka huila he 30 kenimika ke radius, a puni ka pōʻai ma ka wikiwiki mau he 10 mika/kekona.
He aha ka nui o ka wikiwiki angular?
ʻIke ʻia:
Radius ( r) = 30 kenimika = 0.3 mika s
ʻO ka wikiwiki linear (v) = 10 mika s / se cond
Makemake ʻia: ka wikiwiki angular
Lōlā:
ω = v / r = 10 / 0.3 = 33 radians s /se kūlana
4. Hele kahi kaʻa me nā huila he 50 kenimika ke anawaena i 10 mika i 1 kekona. He aha ka wikiwiki angular?
ʻIke ʻia:
Radius (r) = 0.25 mika
ʻO ka wikiwiki linear o kahi kiko ma ka lihi o nā kaila (v) = 10 mika s / se cond
Makemake ʻia: Ka wikiwiki kihi
Lōlā:
ω = v / r = 10 / 0.25 = 40 radians s /se kūlana
5. ʻO ka wikiwiki kihi o ka huila 20 kenimika ma nā radians he 120 rpm. He aha ka mamao inā holo ke kaʻa i 10 kekona.
ʻIke ʻia:
Radius (r) = 20 kenimika = 0.2 mika s
Ka wikiwiki kihi = 120 rev / 60 senā kūlana = 2 rev / ʻikekūlana = (2)(6.28) radianas / ʻikekūlana = 12.56 radianas / ʻikekūlana
Makemake ʻia: mamao
Lōlā:
Ka wikiwiki o ka lihi o ka huila:
v = r ω = (0.2 mika s )(12.56 radians / se cond ) = 2.5 mika s /se cond
2.5 mikas / ʻikeʻO ke ʻano o ke kūlana he kiko ma ka lihi o ka huakaʻi huila 2.5 mikas i kēlā me kēia 1 kekona. mahope iho o 10nā kūlana, ke hele nei ke kiko 25 mikas.
No laila, ʻo ka mamao he 25 mika s.
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- Ke hoʻololi nei i nā anakahi kihi i nā pilikia laʻana me nā hoʻonā
- Nā pilikia laʻana o ka neʻe ʻana o ke kihi a me ka neʻe ʻana o ka laina a me nā hoʻonā
- Nā pilikia laʻana o ka wikiwiki angular a me ka wikiwiki linear me nā hoʻonā
- Nā pilikia laʻana o ka wikiwiki angular a me ka wikiwiki linear me nā hoʻonā
- Nā pilikia hoʻohālike o nā neʻe pōʻai like me nā hoʻonā
- Nā pilikia laʻana hoʻolalelale centripetal me nā hoʻonā
- Nā pilikia hoʻohālike o nā neʻe pōʻai ʻole like me nā hoʻonā
