1. Neʻe kekahi mea i loko o kahi pōʻai me ka wikiwiki angular mau o 10 rad/s. E hoʻoholo i (a) Ka wikiwiki angular ma hope o 10 kekona (b) Ka neʻe ʻana o ka angular ma hope o 10 kekona.
ʻIke ʻia:
Ka wikiwiki kihi (ω) = 10 rad/s
Makemake ʻia:
(a) Ka wikiwiki kihi (ω) ma hope o 10 kekona.
(b) Ke kihi (θ) ma hope o 10 kekona
Lōlā:
(a) Ka wikiwiki kihi (ω) ma hope o 10 kekona
Neʻe like ka mea i ka pōʻai like i mau ai ka wikiwiki angular, 10 rad/s.
(b) Ka neʻe ʻana o ke kihi (θ)
ʻO ka wikiwiki kihi mau 10 radians/kekona ʻo ia hoʻi ka mea ma kahi o 10 radians i kekona. Ma hope o 10 kekona, ʻo ka mea ma kahi o 10 x 10 radians = 100 radians.
ʻAʻole maopopo
2. Neʻe kahi ʻāpana i loko o kahi pōʻai me ka wikiwiki mau o 10 m/s. Radius o ka pōʻai = 1 mika. E hoʻoholo (a) Ka wikiwiki o ka ʻāpana ma hope o 5 kekona (b) Ka neʻe ʻana o ka ʻāpana ma hope o 5 kekona (c) Ka wikiwiki centripetal.
ʻIke ʻia:
Ka laulā o ka pōʻai (r) = 1 mika
Ka wikiwiki o ka ʻāpana (v) = 10 m/s
Lōlā:
(a) Ka wikiwiki o ka ʻāpana ma hope o 5 kekona
Aia ka neʻe ʻana o ka mea ma ke ʻano he neʻe pōʻai like i mau ai ka wikiwiki, 10 m/s.
(b) Ka neʻe ʻana o ka ʻāpana ma hope o 5 kekona
ʻO ke ʻano o 10 mika/kekona i kēlā me kēia 1 kekona, ʻo ka neʻe ʻana o ka ʻāpana = 10 mika. Ma hope o 5 kekona, ʻo ka neʻe ʻana o ka ʻāpana = 5 x 10 mika = 50 mika.
(c) Hoʻolalelale kikowaena (a r )
a r = v₂ / r = 10₂ / 1 = 100 / 1 = 100 m/ s₂
3. Ua hoʻopuni ʻia kahi pōpō i hoʻopaʻa ʻia ma kekahi wēlau o ke kaula, i loko o kahi pōʻai me ka radius o 2 mika ma ka wikiwiki mau o 60 rpm. E hoʻoholo (a) ka nui o ka wikiwiki angular ma hope o 2 kekona (b) ka neʻe angular ma hope o 1 minuke.
ʻIke ʻia:
Ka laulā o ka pōʻai (r) = 2 mika
Ka wikiwiki kihi (ω) = 60 rpm = 60 mau hoʻololi / 1 minuke
= 60 mau kipi / 60 kekona = 1 kipi / kekona = 2π radians / kekona
= 2(3.14) radians / kekona= 6.28 radians / kekona
Lōlā:
(a) Ka wikiwiki kihi (ω) ma hope o 2 kekona
ʻO ka wikiwiki angular he paʻa no laila ma hope o 2 kekona, ʻo ka wikiwiki angular (ω) = 6.28 radians / kekona
(b) Ka neʻe ʻana o ke kihi (θ)
ʻO ka wikiwiki angular = 1 kipi/kekona, ʻo ia hoʻi, i kēlā me kēia 1 kekona, ʻike ka pōpō i 1 kipi. Ma hope o 60 kekona, neʻe ka pōpō i 60 kipi.
ʻO ka wikiwiki angular = 6.28 radians/kekona, ʻo ia hoʻi i kēlā me kēia 1 kekona, neʻe ka pōpō me ke kihi o 6.28 radians. Ma hope o 60 kekona, neʻe ka pōpō i 376.8 radians.
ʻAʻole maopopo
4. Hoʻohuli ka huila paikikala i 120 mau hoʻololi i loko o 60 kekona. He aha ka wikiwiki angular?
Lōlā:
(a) nā hoʻohuli i kēlā me kēia minuke (rpm)
120 mau kipi / 60 kekona = 120 mau kipi / 1 minuke = 120 mau kipi / minuke = 120 rpm
(b) kekelē i kekona ( o /s)
1 kipi = 360 o , 120 kipi = 43200 o
120 mau hoʻohuli / 60 kekona = (120)(360 o ) / 60 kekona = 43200 o / 60 kekona = 720 o /kekona
(c) nā radian i kekona (rad/s)
1 kipi = 6.28 radians
120 mau kipi / 60 kekona = (120)(6.28) radians / 60 kekona = 753.6 radians / 60 kekona = 12.56 radians/kekona.
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
