ʻO ka wikiwiki angular a me ka wikiwiki linear - nā pilikia a me nā hoʻonā

1. Ke kaʻapuni like nei kahi pōpō ma ka hopena o ke kaula i loko o kahi pōʻai ʻākea 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:

ke kahahńnai o (r) = 0.5 mikas, 1 mika, 3 mika

Ka wikiwiki kihi = 10 radianas/sekūlana

Makemake ʻia: ka ka wikiwiki laina

Lōlā:

v = r ω

v= ka wikiwiki laina, r = radius, ω = ka wikiwiki kihi

(a) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 0.5 mika

v = r ω = (0.5 mikas)(10 rad/s) = 5 mikas/sekūlana

(B) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 1 mika

v = r ω = (1 mika)(10 rad/s) = 10 mikas/sekūlana

(c) ʻO ka wikiwiki linear (v) o kahi kiko i loaʻa ma r = 2 mikas

v = r ω = (2 mikas)(10 rad/s) = 20 mikas/sekūlana

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) he kiko i loaʻa he 5 kenimika mai ke kikowaena

(B) he kiko i loaʻa he 10 kenimika mai ke kikowaena

ʻIke ʻia:

ke kahahńnai o (r) = 5 kenimika a me 10 cm

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) ʻO 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) ʻO 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 30 cm ma ke anawaena, a puni kahi pōʻai ma ka wikiwiki mau 10 mika/kekona.

He aha ka nui o ka wikiwiki angular?

ʻIke ʻia:

Radius (r) = 30 kenimika = 0.3 mikas

ʻO ka wikiwiki linear (v) = 10 mikas/sekūlana

Makemake ʻia: ka wikiwiki kihi

Lōlā:

ω = v / r = 10 / 0.3 = 33 mau radians/sekūlana

4. He kaʻa me nā huila he 50 kenimika ke anawaena kaʻa helels 10 mika i loko 1 ka lua. He aha ka wikiwiki kihi?

ʻIke ʻia:

ke kahahńnai o (r) = 0.25 mika

ʻO ka wikiwiki linear o kahi kiko ma ka lihi o ka huila (v) = 10 mikas/sekūlana

Makemake: Ka wikiwiki kihi

Lōlā:

ω = v / r = 10 / 0.25 = 40 mau radians/sekūlana

5. ʻO ka wikiwiki kihi o ka huila 20 cm ma nā radians he 120 rpm. He aha ka mamao inā holo ke kaʻa i loko o 10 kekona.

ʻIke ʻia:

ke kahahńnai o (r) = 20 kenimika = 0.2 mikas

Ka wikiwiki kihi = 120 rev / 60 senā kūlana = 2 rev / ʻikekūlana = (2)(6.28) radianas / ʻikekūlana = 12.56 radianas / ʻikekūlana

Makemake ʻia: mamao

Lōlā:

māmā holo o ka lihi o ka huila:

v = r ω = (0.2 mikas)(12.56 radianas/sekūlana) = 2.5 mikas/sekūlana

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 ka mamao 25 mikas.

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1. Ke hoʻololi nei i nā anakahi kihi i nā pilikia laʻana me nā hoʻonā
2. Nā pilikia laʻana o ka neʻe ʻana o ke kihi a me ka neʻe ʻana o ka laina a me nā hoʻonā
3. Nā pilikia laʻana o ka wikiwiki angular a me ka wikiwiki linear me nā hoʻonā
4. Nā pilikia laʻana o ka wikiwiki angular a me ka wikiwiki linear me nā hoʻonā
5. Nā pilikia hoʻohālike o nā neʻe pōʻai like me nā hoʻonā
6. Nā pilikia laʻana hoʻolalelale centripetal me nā hoʻonā
7. Nā pilikia hoʻohālike o nā neʻe pōʻai ʻole like me nā hoʻonā