ke kālaikūlohea

9 Ke hoʻololi nei i nā unahi mahana (unahi Celsius unahi Fahrenheit unahi Kelvin)

1. 50 ^o C = ….. ^o F ?

pāʻoihana

Ma ke kaomi lewa maʻamau , ʻo ke kiko hau o ka wai he 0 ^° C ma ka pālākiō Celsius a me 32 ^° F ma ka pālākiō Fahrenheit. Ma ke kaomi lewa maʻamau, ʻo ke kiko paila o ka wai he 100 ^° C ma ka pālākiō Celsius a me 212 ^° F ma ka pālākiō Fahrenheit.

0 ^o C = 32 ^o F a me 1 00 ^o C = 212 ^o F. ʻO kahi loli o 5 C ^o = kahi loli o 9 F ^o.

No ka unahi Celsius, ua māhele ʻia ka mamao ma waena o 0 ^° C a me 100 ^° C i 100 mau wā like. No ka unahi Fahrenheit, ua māhele ʻia ka mamao ma waena o 0 ^° C a me 100 ^° C i 180 mau wā like.

Iā ^F = (180/100) Iā ^C + 32

Iā ^F = (9/5) Iā ^C + 32

Iā ^F = (9/5) 50 + 32

Iā ^F = (9) 10 + 32

Iā F = 90 ⁺ 32

Iā ^F = 122

50 ^o C = 122 ^o F

ʻAʻole maopopo

2. 86 ^o F = ….. ^o C ?

pāʻoihana

Iā ^C = (100/180)(Iā ^F – 32)

Iā ^C = (5/9)(Iā ^F – 32)

Iā ^C = (5/9)(86 – 32)

Iā ^C = (5/9)(54)

Iā ^C = (5)(6)

Iā ^C = 30

86 ^o F = 30 ^o C

3. 50 ^o C = ….. K ?

pāʻoihana

T = Iā ^C + 273

T = 50 + 273

T = 323

50 ^o C = 323 K

ʻAʻole maopopo

4. 212 ^o F = ….. K ?

pāʻoihana

Iā ^C = (100/180)(Iā ^F – 32)

Iā ^C = (5/9)(Iā ^F – 32)

Iā ^C = (5/9)(212 – 32)

Iā ^C = (5/9)(180)

Iā ^C = (5)(20)

Iā ^C = 100

212 ^o F = 100 ^o C + 273

212 ^o F = 373 K

 

5. x ^o C = x ^o F

x = ….. ?

pāʻoihana

1: Ke hoʻololi nei i ka unahi Celsius i ka unahi Fahrenheit

2: Ke hoʻololi nei i ka unahi Fahrenheit i ka unahi Celsius

ʻAʻole maopopo

6. 122°F = ….. Kelekia

pāʻoihana

Hiki ke kākau ʻia ka hoʻololi ʻana ma waena o nā unahi mahana ʻelua:

T _C = 5/9 (T _F – 32)

T _C = Mahana ma Celsius, T _F = mahana ma Fahrenheit

Ka mahana ma Celsius:

T _C = 5/9 (122 – 32) = T _C = 5/9 (90) = 5 (10)

T _C = 50 ^o C

7. Hōʻike ke kiʻi ma lalo nei i ke ana ʻana o ka mahana o kahi wai me ka ana wela Fahrenheit! Inā ana ʻia ka mahana o ka wai me ka hoʻohana ʻana i ka ana wela Celsius, a laila he aha ka mahana o ka wai e.

ʻIke ʻia:

ʻO ka unahi Fahrenheit (T _F ) = 95 ^o F

Makemake ʻia: Pālākiō Celsius

Lōlā:

Ma ke kaomi o 1 atm, ʻo ke kiko hau o ka wai he 0 °C ʻoiai ʻo ka unahi Fahrenheit he 32 ^° F. I ka ʻaoʻao ʻē aʻe, ʻo ke kiko paila o ka wai no ka unahi Celsius he 100 ^° C ʻoiai ʻo ka unahi Fahrenheit he 212 ^° F.

Ma ke ana wela o Celsius, ma waena o 0 °C a me 100 °C he 100 °, a ma ke ana wela o Fahrenheit mai 32 °F a i 212 °F he 180 °.

T _C = 100/180 (T _F – 32)

T _C = 5/9 (T _F – 32)

T _C = 5/9 ( 95 – 32)

T _C = 5/9 ( 63 )

T _C = 315/9

T _C = 35 ^o C

8. Ma muli o ke kiʻi ma lalo nei, e hoʻoholo i ka mahana P ma ka ana wela Celsius.

pāʻoihana

T_C = 100/180 (T_F - 32)

T _C = 5/9 (T _F – 32)

T _C = 5/9 (104 – 32)

T _C = 5/9 (72)

T _C = 360/9

T _C = 40 ^o C

9. Inā like ka mahana o ke anakahi Celsius me ka mea i hōʻike ʻia ma ke kiʻi ma lalo, e hoʻoholo i ka mahana o ke anakahi Fahrenheit e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo.

Lōlā:

T^oF = (180/100) T^oC + 32

Iā ^F = (9/5) Iā ^C + 32

Iā ^F = (9/5) 60 + 32

Iā ^F = (9) 12 + 32

Iā F = 108 ⁺ 32

Iā ^F = 140

1. Ke hoʻololi nei i nā unahi mahana
2. Hoʻonui laina
3. Hoʻonui ʻāina
4. Hoʻonui leo
5. wela
6. ʻO ke kūlike mechanical o ka wela
7. Ka wela kikoʻī a me ka mana wela
8. Wela huna, wela o ka hoʻoheheʻe ʻana, wela o ka mahu
9. Ka mālama ʻana i ka ikehu no ka hoʻoili wela

heluhelu hou

1. Ua hōʻike ʻia kahi kiʻi o ka ikaika (F) e kūʻē i ka elongation (x ) ma ke kiʻi ma lalo nei. E huli i ke kūpaʻa puna!

pāʻoihana

ʻO ke ʻano hana o ke kānāwai o Hooke :

k = F / x

F = ikaika (Newton)

k = kūpaʻa puna (Newton/mika)

x = ka loli o ka lōʻihi (mika)

Paʻa mau o ka pūnāwai:

k = 10 / 0.02 = 20 / 0.04

k = 500 N/m

ʻAʻole maopopo

2. E hoʻoholo i ke kūpaʻa puna.

pāʻoihana

Paʻa mau o ka pūnāwai:

k = F / x

k = 5 / 0.01 = 10 / 0.02 = 15 / 0.03 = 20 / 0.04

k = 500 N/m

ʻAʻole maopopo

3. ʻO ka lōʻihi mua o ka pūnāwai A he 60 kenimika a ʻo ka lōʻihi mua o ka pūnāwai B he 90 kenimika. ʻO ka paʻa o ka pūnāwai A he 100 N/m, ʻo ka paʻa o ka pūnāwai B he 200 N/m. ʻO ka lakio o ka loli o ka lōʻihi o ka pūnāwai A i ka loli o ka lōʻihi o ka pūnāwai B he…

ʻIke ʻia:

Ka paʻa o ka pūnāwai A (k _A ) = 100 N/m

Ka paʻa o ka pūnāwai B (k _B ) = 200 N/m

Ikaika ma ka pūnāwai A (F _A ) = F

Ikaika ma ka pūnāwai B (F _B ) = F

Makemake ʻia: Δl _A : Δl _B

Lōlā:

ʻO ke ʻano hana o ke kānāwai o Hooke:

Δl = F / k

Δl = ka loli o ka lōʻihi, F = ikaika, k = mau

ʻO ka loli o ka lōʻihi o ka pūnāwai A:

Δl _A = F _A / k _A = F / 100

ʻO ka loli o ka lōʻihi o ka pūnāwai B:

Δl _B = F _B / k _B = F / 200

ʻO ka lakio o ka loli o ka lōʻihi o ka pūnāwai A i ka loli o ka lōʻihi o ka pūnāwai B:

Δl _A : Δl _B

F/100 : F/200

1 / 100 : 1 / 200

1 / 1 : 1 / 2

2: 1

ʻAʻole maopopo

4. Ua huki ʻia kekahi kaula nylon me ka lōʻihi mua he 20 kenimika, e ka ikaika o 10 N. ʻO ka loli o ka lōʻihi o ke kaula he 2 kenimika. E hoʻoholo i ka nui o ka ikaika inā he 6 kenimika ka loli o ka lōʻihi.

ʻIke ʻia:

Ikaika (F) = 10 N

ʻO ka loli o ka lōʻihi ( Δl ) = 2 kenimika = 0.02 m

Makemake ʻia: ka nui o ka ikaika (F) inā ʻo Δl = 0.06 m.

Lōlā:

Paʻa mau:

k = F / Δl

k = 10 / 0.02 = 500 N/m

ʻO ka nui o ka ikaika (F) inā ʻo Δl = 0.06 m:

F = kx

F = (500)(0.06)

F = 30N

ʻAʻole maopopo

[wpdm_package id='689′]

1. Kanawai o Hooke
2. Ke kaumaha, ke kaumaha, ka modulus o Young

heluhelu hou

Ke Kaʻina Hana o ke Kaumaha ʻO Young's modulus - Nā Pilikia a me nā Hoʻonā

1. He 2 mm ke anawaena o ke kaula nylon, i huki ʻia e ka ikaika o 100 N. E hoʻoholo i ke koʻikoʻi!

ʻIke ʻia:

Ikaika (F) = 100 N

Anawaena (d) = 2 mm = 0.002 m

Ka laulā (r) = 1 mm = 0.001 m

Makemake ʻia: Ke kaumaha

Lōlā:

Nā ʻāpana:

A = π r ²

A = (3.14)(0.001 m) ² = 0.00000314 m ²

^A = 3.14 x 10 ^-6 m2

ʻO ke kaumaha:

ʻAʻole maopopo

2. He 100 kenimika ka lōʻihi mua o ke kaula i huki ʻia e ka ikaika. ʻO ka loli o ka lōʻihi o ke kaula he 2 mm. E hoʻoholo i ke kaumaha!

ʻIke ʻia:

Ka lōʻihi mua (l ₀ ) = 100 kenimika = 1 m

ʻO ka loli o ka lōʻihi (Δl) = 2 mm = 0.002 m

Makemake ʻia: Ke kaumaha

Lōlā:

ʻO ke kaʻaahi s :

ʻAʻole maopopo

3. He 2 m ka lōʻihi mua o ke kaula he 4 mm ke anawaena. Huki ʻia ke kaula e ka ikaika o 200 N. Inā he 2.02 m ka lōʻihi hope loa o ka pūnāwai, e hoʻoholo: (a) ke kaumaha (b) ke kaumaha (c) ka modulus o Young

ʻIke ʻia:

Anawaena (d) = 4 mm = 0.004 m

Ka laulā (r) = 2 mm = 0.002 m

Wahi (A) = π r ² = (3.14)(0.002 m) ²

^{ʻĀpana (} A) = 0.00001256 m² ⁼ 12.56 x 10 ^-6 m²

Ikaika (F) = 200 N

ʻO ka lōʻihi mua o ka pūnāwai (l ₀ ) = 2 m

ʻO ka loli o ka lōʻihi (Δl) = 2.02 – 2 = 0.02 m

Makemake ʻia: (a) Ke kaumaha (b) Ke kaumaha c) Ka modulus o Young

Lōlā:

(a) Ke kaumaha

(b) Ke Kaumaha

(c) Modulus o Young

ʻAʻole maopopo

4. He 1 kenimika ke anawaena o ke kaula a he 2 m ka lōʻihi mua. Huki ʻia ke kaula e ka ikaika o 200 N. E hoʻoholo i ka loli o ka lōʻihi o ke kaula! ʻO ka modulus o Young o ke kaula = 5 x 10 ⁹ N/m ²

ʻIke ʻia:

ʻO ka modulus o Young (E) = 5 x 109 ^N / ^m2

Ka lōʻihi mua (l ₀ ) = 2 m

Ikaika (F) = 200 N

Anawaena (d) = 1 kenimika = 0.01 m

Radius (r) = 0.5 kenimika = 0.005 m = 5 x 10 ^-3 m

ʻĀpana (A) = π r ² = (3.14)(5 x 10 ^-3 m) ² = (3.14)(25 x 10 ^-6 m ² )

ʻĀpana ( A) = 78.5 x 10 ^{-6 m²} = 7.85 x 10 ^{-5 m²}

Makemake ʻia : ʻO ka loli o ka lōʻihi (Δl)

Lōlā:

ʻO ke ʻano modulus o Young:

Ka loli o ka lōʻihi :

ʻAʻole maopopo

5. He 5 mika ke kiʻekiʻe o ka sima a he 3 m³ ka nui o ka ʻāpana ^e kākoʻo ana i ka nuipa o 30,000 kg. E hoʻoholo (a) Ke kaumaha (b) Ke kaumaha (c) Ka loli o ke kiʻekiʻe! Ka wikiwiki ma muli o ke kaumaha (g) = 10 m/s² ^. ʻO ka modulus o Young o ka sima = 20 x 109 ^N / ^m²

ʻIke ʻia:

ʻO ka modulus o Young o ka sima = 20 x 109 ^N / ^m2

Ke kiʻekiʻe mua (l ₀ ) = 5 mika

ʻĀpana (A) = 3 ^m2

Kaumaha (w) = mg = (30,000)(10) = 300,000 N

Makemake ʻia: (a) Ke kaumaha (b) Ke kaumaha (c) Ka loli o ke kiʻekiʻe!

Lōlā:

(a) Ke kaumaha

(b) Ke Kaumaha

(c) Ka loli o ke kiʻekiʻe

ʻAʻole maopopo

1. Kanawai o Hooke
2. Ke kaumaha, ke kaumaha, ka modulus o Young

heluhelu hou

1. Ua hoʻopuni ʻia kahi pōpō, i hoʻopaʻa ʻia i ka wēlau o ke kaula ākea, i loko o kahi pōʻai o ka radius 20 cm. Hoʻopuni ka pōpō i 360 ^o i kēlā me kēia kekona. E hoʻoholo i ka nui o ka wikiwiki centripetal!

ʻIke ʻia:

Ka wikiwiki kihi (ω ) = 360 ^o /kekona = 1 hoʻololi/kekona = 6.28 radians/kekona

Radius (r) = 20 kenimika = 0.2 m

Makemake ʻia: Hoʻolalelale Centripetal (a _r )

Lōlā:

a _r = v ² / r —> v = r ω

a _r = (r ω) ² / r = r ² ω ² / r

he _r = r ω ²

a _s = ka wikiwiki centripetal, v = ka wikiwiki linear, r = radius, ω = ka wikiwiki angular

ʻO ka nui o ka hoʻolalelale centripetal :

a _r = r ω ² a _r = (0,2 m)( 6.28 rad/s)

a _r = 1.256 m/s ²

ʻAʻole maopopo

2. E wili ana kahi huila he 30 kenimika ka radius ma ka wikiwiki o 180 rpm. E hoʻoholo i ka wikiwiki centripetal o kahi kiko ma ka lihi o ka huila!

ʻIke ʻia:

Radius (r) = 30 kenimika = 0.3 m

Ka wikiwiki kihi ( ω ) = 180 mau hoʻololi / 60 kekona = 3 mau hoʻololi / kekona = (3)(6.28 radians) / kekona = 18.84 radians/kekona

Makemake ʻia: ka wikiwiki centripetal ( ar ) o _r = 0.3 m

Lōlā:

ʻO ka nui o ka hoʻolalelale centripetal:

he _r = r ω ²

he _r = (0.3 m)(18.84 rad/s)

a _r = 5.65 m/s ²

3. Ke neʻe nei kekahi kaʻa heihei ma ke ala poepoe he 50 mika ka radius. Inā he 72 km/h ka wikiwiki o ke kaʻa, e hoʻoholo i ka nui o ka hoʻolalelale centripetal!

ʻIke ʻia:

Radius (r) = 50 mika

Ka wikiwiki (v) = 72 km/h = (72)(1000 mika) / 3600 kekona = 20 mika/kekona

Makemake ʻia : ka nui o ka wikiwiki centripetal (a _r )

Lōlā:

a _r = ^v₂ / r = 20₂ ^/ 50 = 400 / 50 = 8 m/ ^s₂

ʻAʻole maopopo

4. ʻO ka wikiwiki centripetal kiʻekiʻe loa o ke kaʻa he 10 m/s ² , no laila hiki i ke kaʻa ke huli me ka ʻole o ka paheʻe ʻana mai kahi ala piʻo. Inā e neʻe ana ke kaʻa ma kahi 108 km/h mau, he aha ka radius o ke piʻo unbanked?

ʻIke ʻia:

Ka wikiwiki ʻana o ke kikowaena ( _ar ) = 10 m/s ²

Ka wikiwiki o ke kaʻa (v) = 108 km/ h = (108)(1000) / 3600 = 30 mika s /se c ma ka d

Makemake ʻia: radius (r)

Lōlā:

r = v ² / a _r

r = 30 ² / 10 = 900 / 10 = 90 mika s

ʻAʻole maopopo

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[wpdm_package id='439′]

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

heluhelu hou

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

[wpdm_package id='429′]

[wpdm_package id='439′]

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

heluhelu hou

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

ʻAʻole maopopo

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

ʻAʻole maopopo

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.

ʻAʻole maopopo

[wpdm_package id='427′]

[wpdm_package id='439′]

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

heluhelu hou

Ke hoʻololi nei i nā ʻāpana kihi (degere, radian, hoʻohuli)

1. ¼ rev = ….. ^o ( kekelē ) ?

pāʻoihana

1 kipi = 360 ^o

½ rev = 180 ^o

¼ rev = 90 ^o

2. ½ rev = …….. r ad?

pāʻoihana

1 rev = 2 π rad = 2(3.14) rad = 6.28 rad

½ rev = pi rad = 3.14 rad

3. 180 ^o = ….. rev ?

pāʻoihana

360 ^o = 1 hoʻololi

180 ^o = ½ rev

ʻAʻole maopopo

4. 90 ^o = ….. rad ?

pāʻoihana

360 ^o = 2 π rad = 2(3.14) rad = 6.28 rad

180 ^o = π rad = 3.14 rad

90 ^o = ½ π rad = ½ (3.14) = 1.57

5. 60 rad = ….. rev?

pāʻoihana

6.28 rad = 1 rev

60 rad/6.28 = 9.55 rev

6. 40 rad= ….. ^o?

pāʻoihana

6.28 rad = 360 ^o

40 rad/6.28 = (6.37)(360 ^o ) = 2292.99 ^o

ʻAʻole maopopo

Ka neʻe ʻana o ke kihi a me ka neʻe ʻana o ka laina

1. Hoʻohuli kahi huila paikikala he 60 kenimika ke anawaena i 10 radians. He aha ka neʻe linear o kahi kiko ma ka lihi o ka huila?

ʻIke ʻia:

Radius (r) = 30 kenimika = 0.3 m

Huina (θ ) = 10 radians

Makemake ʻia: neʻe ʻana o ka laina (l)

Lōlā:

l = r θ

l = (0.3 m)(10 rad)

l = 3 mika

2. Ke wili nei ka huila me ka radius he 50 kenimika i 360 ^° . He aha ka neʻe linear o kahi kiko ma ka lihi o ka huila?

ʻIke ʻia:

Radius (r) = 50 kenimika = 0.5 mika

Kihi ( θ ) = 360 ^o = 6.28 radians

Makemake ʻia: neʻe ʻana o ka laina (l)

Lōlā:

l = r θ

l = (0.5 m)(6.28 rad)

l = 3.14 mika

ʻAʻole maopopo

3. Hoʻohuli ka huila me ka radius he 50 kenimika i 2 mau hoʻololi. He aha ka neʻe linear o kahi kiko ma ka lihi o ka huila?

ʻIke ʻia:

Radius (r) = 50 kenimika = 0,5 m

Kihi ( θ ) = 2 mau hoʻohuli = (2)(6.28 radians) = 12.56 radians

Makemake ʻia: ka neʻe ʻana o ka laina (l)?

Lōlā:

l = r θ

l = (0.5 m)(12.56 rad)

l = 6.28 mika

4. Neʻe kahi kiko ma ka lihi o ka huila he 2 mika ka radius, i 100 mika. E hoʻoholo i ka neʻe ʻana o ke kihi.

ʻIke ʻia:

Radius (r) = ½ (ke anawaena) = ½ (2 mika) = 1 mika

ka neʻe ʻana o ka laina (l) = 100 mika

Lōlā:

(a) Ka neʻe ʻana o ke kihi (ma nā radians)

θ = s / r = 100 / 1 = 100 mau radian

(b) Ka neʻe ʻana o ke kihi (ma nā kekelē)

1 radian = 360 ^o

100 radians = 100(360 ^o ) = 36,000 radians

(c) Ka neʻe ʻana o ke kihi (i ka hoʻohuli ʻana)

6.28 radians = 1 kipi

36,000 / 6.28 = 5732,484 mau hoʻololi

ʻAʻole maopopo

5. Hoʻopuni kekahi ʻāpana i kahi pōʻai he 10 mika a hoʻohuli i 180 ^° . He aha ka radius?

ʻIke ʻia:

Ka neʻe ʻana o ka laina (l) = 10 mika

Kihi ( θ ) = 180 ^o = 3.14 radians

Makemake ʻia: radius (r)

Lōlā:

r = l / θ = 10 / 3.14 = 3.18 mika

ʻAʻole maopopo

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

heluhelu hou

1. Hoʻolalelale like ka huila me 1 mika ka radius ma 2 rad/s² ^. E hoʻoholo i ka hoʻolalelale angular a me ka wikiwiki angular o ka huila, 2 kekona ma hope.

ʻIke ʻia:

Radius (r) = 1 mika

Ka wikiwiki ʻana o ke kihi (α ) = 2 rad/ ^s2

Makemake ʻia: ka wikiwiki angular a me ka wikiwiki angular ma hope o 2 kekona.

Lōlā:

(a) Ka wikiwiki ʻana o ke kihi i 2 kekona

He mau ka wikiwiki angular, no laila ma hope o 2 kekona, ʻo ka wikiwiki angular o ka huila he 2 rad/ ^s².

(b) Ka wikiwiki kihi i 2 kekona

ʻO ka hoʻolalelale angular 2 rad/s ² ʻo ia hoʻi ka hoʻonui ʻana o ka wikiwiki angular i 2 radians/kekona i kēlā me kēia 1 kekona. Ma hope o 1 kekona, ʻo ka wikiwiki angular = 2 radians/kekona. Ma hope o 2 kekona, ʻo ka wikiwiki angular = 4 radians/kekona.

ʻAʻole maopopo

2. Hoʻolalelale like kahi ʻāpana mai ka hoʻomaha a i 60 rpm i loko o 10 kekona. E hoʻoholo i ka nui o ka hoʻolalelale angular!

ʻIke ʻia:

ʻO ka wikiwiki angular mua (ω _o ) = 0

_ʻO ka wikiwiki angular hope loa ( ωt ) = 60 rpm = 60 mau hoʻololi / 60 kekona = 1 hoʻololi / kekona = 6,28 radians/kekona

Ka manawa (t) = 10 kekona

Makemake ʻia: Hoʻolalelale angular ( α )

Lōlā:

ω _o = ka wikiwiki kihi mua, ω _t = ka wikiwiki kihi hope loa, α = ka wikiwiki kihi, t = ka wā manawa, θ = kihi.

ωt = ωo ₊ αt_​

6.28 = 0 + α (10)

6.28 = 10 α

α = 6.28 / 10

α = 0.628 rad/s ²

ʻO ka nui o ka hoʻolalelale angular = 0.628 rad/s ²

3. Hoʻolohi kekahi mea mai 20 rad/s a i 10 rad/s i loko o 4 kekona. E hoʻoholo i ka nui o ka wikiwiki angular!

ʻIke ʻia:

Ka manawa (t) = 4 kekona

ʻO ka wikiwiki angular mua ( ω _o ) = 20 rad/s

ʻO ka wikiwiki angular hope loa ( _ωt ) = 10 rad/s

Makemake ʻia : ka nui o ka wikiwiki angular (α )

Lōlā:

ωt = ωo ₊ αt_​

10 = 20 + α (4)

10 – 20 = 4 α

-10 = 4 α

α = -10 / 4

α = – 2.5 rad/s ²

ʻO ka nui o ka wikiwiki angular he -2.5 rad/s² ^. ʻO ka hōʻailona maikaʻi ʻole ke ʻano o ka mea e hoʻemi ana i ka wikiwiki. Hoʻonui = piʻi ka wikiwiki angular, hoʻemi = emi ka wikiwiki angular.

ʻAʻole maopopo

4. Ua hoʻolalelale ʻia kahi mea no 2 kekona mai 10 rad/s a i 2 rad/s2 ^. E hoʻoholo i ke kihi i hoʻopuni ʻia e ka mea!

ʻIke ʻia:

ka wikiwiki angular mua ( ω _o ) = 10 rad/s

ka wikiwiki angular (α ) = 2 rad/ ^s2

ka manawa manawa (t) = 2 kekona

Makemake ʻia: kihi (θ)

Lōlā:

θ = ω _o + ½ α t ²

θ = (10)(2) + ½ (2)(2 ² )

θ = 20 + (1)(4) = 20 + 4

θ = 24 mau radian

5. Hoʻolohi ka huila o ke kaʻa mai 20 rad/s a hoʻomaha ma hope o ka puni ʻana o 20 radians. E hoʻoholo i ka nui o ka wikiwiki angular o ka huila!

ʻIke ʻia:

ka wikiwiki kihi mua ( ω _o ) = 20 rad/s

ka wikiwiki _{kihi hope loa (} ωt ) = 0

Kihi ( θ ) = 20 radians

Makemake ʻia: ka nui o ka wikiwiki angular (α )

Lōlā:

ωt ₂ = ωo ² ₊ ² αθ

0 = 20 ² + 2 α (20)

0 = 400 + 40 α

400 = – 40 a

α = – 400 / 40

α = – 10 rad/s ²

6. Ke wili nei kekahi koʻokoʻo PQ me ka lōʻihi o 60 cm a puni ke kiko Q ma ke ʻano he axis o ka wili a me PQ ma ke ʻano he radius o ka pōʻai. Ua hoʻolalelale ʻia ke koʻokoʻo PQ mai ka hoʻomaha a i 0.3 rad/s² ^. He aha ka wikiwiki linear o ke kiko P ma t = 10 kekona, inā ʻo ke kūlana mua angular he 0.

ʻIke ʻia:

Ka lōʻihi o ke koʻokoʻo PQ = ka radius o ka pōʻai (r) = 60 kenimika = 60/100 m = 0.60 m

ʻO ka wikiwiki kihi mua (ω _o ) = 0 rad/s

Ka wikiwiki ʻana o ke kihi (α) = 0.3 rad s ^-2

ʻO ke kūlana kihi mua (θ _o ) = 0

Makemake ʻia: Ka wikiwiki laina (v) o ke kiko P ma t = 10 kekona

Lōlā:

ʻO ka wikiwiki kihi hope loa ma hope o 10 kekona:

ω _t = ω _o + α t = 0 rad/s + (0.3 rad s ^-2 )(10 s) = 3 rad/s

ʻO ka wikiwiki linear hope loa ma hope o 10 kekona:

v = r ω = (0.6 m)(3 rad/s) = 1.8 m/s

ʻAʻole maopopo

7. Ke wili nei kekahi mea me ka wikiwiki mua o 4 rad/s a ʻo ka wikiwiki angular he 0.5 rad/s² ^. He aha ka wikiwiki o ka mea ma hope o 4 kekona.

ʻIke ʻia:

ʻO ka wikiwiki kihi mua (ω _o ) = 4 rad/s

Ka wikiwiki ʻana o ke kihi (α) = 0.5 rad/s ²

Ka manawa (t) = 4 kekona

Makemake ʻia: Ka wikiwiki o ka mea ma hope o 4 kekona ( _ωt )

Lōlā:

ωt ₌ ωo ₊ αt

ωt ₌ 4 + (0.5)(4)

ωt = 4 + ₂

ωt = 6 rad/ _s

8. ʻEkolu mau nila o kahi uaki paia me ke anawaena o 10 kenimika, e hōʻike ana i nā hola, nā minuke a me nā kekona. Hoʻohālikelike ʻana i ka helu o nā puni o ke nila hola: ke nila minuke: ke nila ʻelua.

A. 1 : 3 : 180

B. 1 : 12 : 720

C. 4 : 12 : 180

D. 4 : 12 : 720

ʻIke ʻia:

1 hola = 60 mau minuke

12 hola = (12)(60 minuke) = 720 minuke

Ka wikiwiki kihi o ke kui hola = 1 kipi / 12 hola = 1 kipi / 720 mau minuke

Ka wikiwiki kihi o ke kui minuke = 1 kipi / 1 hola = 1 kipi / 60 mau minuke

Ka wikiwiki kihi o ke kui lua = 1 hoʻololi / 1 minuke

Makemake ʻia: Hoʻohālikelike ʻana i ka helu o nā puni o ke kui hola: ke kui minuke: ke kui lua

Lōlā:

ʻO ke kaulike o ka neʻe pōʻai:

Ka wikiwiki kihi = ka helu o nā hoʻohuli / ka wā manawa

Helu o nā kipi = wikiwiki angular x ka manawa

I loko o ka manawa like, no ka laʻana, 1 minuke, ehia mau hoʻohuli ʻana o ke kui hola, ke kui minuke, a me ke kui ʻelua.

Helu o nā kipi ʻana o ke kui hola = wikiwiki kihi x ka manawa = (1 kipi / 720 mau minuke)(1 minuke) = 1/720 mau kipi

Helu o nā kipi ʻana o ke kui minuke = wikiwiki kihi x ka manawa = (1 kipi / 60 mau minuke)(1 minuke) = 1/60 mau kipi

Helu o nā kipi ʻana o ka nila ʻelua = ka wikiwiki kihi x ka manawa = (1 kipi / 1 minuke)(1 minuke) = 1/1 kipi

Hoʻohālikelike ʻana o ka nui o nā kipi:

Ka helu o nā kipi ʻana o ke kui hola: ka helu o nā kipi ʻana o ke kui minuke: ka helu o nā kipi ʻana o ke kui lua.

1/720 : 1/60 : 1/1

1/720 : 12/720 : 720/720

1:12:720

ʻO ka pane pololei ʻo B.

9. He pōpō i nakinaki ʻia me ke kaula. Hoʻohuli ʻia ka pōpō i neʻe ai i loko o kahi mokulele poepoe e kūlike ana me ka ʻili o ka honua. Ma kēia neʻe ʻana, hoʻolalelale ka pōpō no ka mea…..

A. Ke kū'ē ʻana o ka ea

B. Kaumaha o ka pōpō

C. Ka ikaika hoʻoluhi

D. Ka ikaika o ke koʻikoʻi

Lōlā:

ʻŌlelo ke kānāwai ʻelua o Newton no ka neʻe ʻana e hoʻolalelale ʻia kahi mea inā he ikaika hopena. Hoʻopili ʻia ka pōpō i ke kaula a i ka wā e wili ai ke kaula, wili pū ka pōpō. Ke wili ka pōpō (neʻe ka pōpō i loko o kahi pōʻai), hana ka pōpō i ka hoʻolalelale centripetal. He hoʻolalelale centripetal pōʻai nā mea neʻe a pau. Hoʻokumu ʻia ka hoʻolalelale centripetal e ka ikaika centripetal . ʻO ka ikaika centripetal no kēia hihia ʻo ia ka ikaika tension.

ʻO ka pane pololei ʻo C.

ʻAʻole maopopo

[wpdm_package id='437′]

[wpdm_package id='439′]

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

heluhelu hou

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

[wpdm_package id='432′]

[wpdm_package id='439′]

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

heluhelu hou

1. Ua hoʻopuni ʻia kahi pōpō 0.1 -kg, i hoʻopaʻa ʻia i ka wēlau o ke kaula ākea, i loko o kahi pōʻai o 50 cm ka radius a ʻo ka wikiwiki kihi o ka pōpō he 4 rad s ^-1 . He aha ka nui o ka ikaika centripetal?

ʻIke ʻia:

Nuipaʻa (m) = 100 grams = 100/1000 kg = 1/10 kg = 0.1 kg

Ka wikiwiki kihi ( ω) = 4 radians/se cond

Radius (r) = 50 kenimika = 50/100 m = 0.5 m

Makemake ʻia: Ka ikaika centripetal

Lōlā:

ʻO ka ikaika centripetal ka ikaika upena e hoʻopuka ai i ka wikiwiki centripetal :

∑ F = ma _r

∑ F = mv ² /r = m ω ² r

∑ F = ka ikaika net = ka ikaika centripetal , m = ka nuipa , v = ka wikiwiki , ω = ka wikiwiki angular , r = ka radius

∑ F = m ω ² r = (0.1)(4) ² (0.5) = (0.1)(16)(0,5) = 0.8 Newtons

ʻAʻole maopopo

2. Ke kaʻapuni like nei kahi pōpō i loko o kahi pōʻai ʻaoʻao. Inā loli ka wikiwiki i ʻehā manawa o ka waiwai mua, he aha ka nui o ka ikaika centripetal…..

ʻIke ʻia:

Nuipa = m

Māmā = v

Ka wikiwiki mua = v _o

Ka laulā (r) = r

Makemake ʻia: Ka nui o ka ikaika centripetal

Lōlā:

3. Ua hoʻolālā ʻia kahi piʻo kūlou o ka radius R i hiki i kahi kaʻa e holo ana ma ka wikiwiki 12 ms ^–1 ke neʻe palekana i ka huli. ʻO ke koina o ka friction static ma waena o ke kaʻa a me ke alanui = 0.4. He aha ka radius R. Ka wikiwiki ma muli o ke koʻikoʻi ( g ) = 10 ms ^–2.

ʻIke ʻia:

Ka wikiwiki (v) = 12 m/s

Ka helu o ka haʻalulu paʻa ( μs ₎ = 0.4

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s ²

Makemake ʻia: Radius (R)

Lōlā:

ʻAʻole maopopo

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1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Neʻe ʻana ma luna o kahi ʻili pālahalaha me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

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