1. Ke wili nei kahi huila me ka radius he 30 kenimika ma ke ʻano mau he 5 rad/s2 . He aha ka nui o ka wikiwiki linear o kahi kiko i loaʻa ma (a) 10 kenimika mai ke kikowaena (b) 20 kenimika mai ke kikowaena (c) ma ka lihi o ka huila?
ʻIke ʻia:
Radius (r) = 30 kenimika = 0.3 m
Ka wikiwiki ʻana o ke kihi ( α ) = 5 rad/ s2
Makemake ʻia: ka wikiwiki linear (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m
Lōlā:
Ka pilina ma waena o ka wikiwiki linear (a) a me ka wikiwiki angular:
a = r α
(a) ka wikiwiki linear, r = 0.1 m
a = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) ka wikiwiki linear, r = 0.2 m
a = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
(c) ka wikiwiki linear, r = 0.3 m
a = (0.3 m)(5 rad/s 2 ) = 1.5 m/s 2
ʻAʻole maopopo
2. He pulley he 50 kenimika ke anawaena. Inā ʻo ka wikiwiki linear o kahi kiko ma ka lihi o ka pulley he 2 m/s² , e hoʻoholo i ka wikiwiki angular o ka pulley!
ʻIke ʻia:
Radius (r) = 50 kenimika = 0,5 m
ka wikiwiki linear (a) = 2 m/s 2
Makemake ʻia: ka wikiwiki angular
Lōlā:
α = a / r = 2 / 0.5 = 4 rad/s 2
3. ʻO nā pahi i loko o kahi mea hoʻoheheʻe he 20 cm ka radius, i ka wā hoʻomaha mua. Ma hope o 2 kekona, e hoʻohuli nā pahi i 10 rad/s. E hoʻoholo i ka nui o ka wikiwiki linear (a) kahi kiko i loaʻa ma 10 cm mai ke kikowaena (b) kahi kiko i loaʻa ma ka lihi o nā pahi.
ʻIke ʻia:
Radius (r) = 20 kenimika = 0.2 m
ʻO ka wikiwiki angular mua ( ωo ) = 0
ʻO ka wikiwiki angular hope loa ( ωt ) = 10 radians/kekona
Ka manawa (t) = 2 kekona
Makemake ʻia: ka wikiwiki linear o kahi kiko i loaʻa ma (a) r = 0.1 m (b) r = 0.2 m
Lōlā:
ωt = ωo + αt
10 = 0 + α (2)
10 = 2 α
α = 10 / 2
α = 5 rad/s
(a) ka wikiwiki linear o r = 0.1 m
a = r α = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) ka wikiwiki linear o r = 0.2 m
a = r α = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
ʻAʻole maopopo
4. Ua hoʻolalelale ʻia kahi huila me ka radius he 20 kenimika no 2 kekona mai 20 rad/s a hoʻomaha. E hoʻoholo i ka nui o ka hoʻolalelale linear (a) kahi kiko i loaʻa ma 10 kenimika mai ke kikowaena (b) kahi kiko i loaʻa ma 10 kenimika mai ke kikowaena.
ʻIke ʻia:
Radius (r) = 20 kenimika = 0.2 m
ʻO ka wikiwiki kihi mua ( ω o ) = 20 rad/s
ʻO ka wikiwiki kihi hope loa ( ωt ) = 0
Ka manawa (t) = 2 kekona
Makemake ʻia: ʻO ka wikiwiki linear (a) r = 0.1 m (b) r = 0.2 m
Lōlā:
ωt = ωo + αt
0 = 20 + α (2)
-20 = 2 α
α = -20 / 2
α = -10 rad/s
ʻO ke ʻano o ka hōʻailona maikaʻi ʻole, ke emi nei ka wikiwiki o ke kihi.
(a) ka wikiwiki linear o r = 0.1 m
a = r α = (0.1 m)(-10 rad/s 2 ) = -1 m/s 2
(b) ka wikiwiki linear o r = 0.2 m
a = r α = (0.2 m)(-10 rad/s 2 ) = -2 m/s 2
ʻAʻole maopopo
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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
