Edoziri Nsogbu na Fizik Isi

9 Nha okpomọkụ na-agbanwe agbanwe (Nha Celsius nha Fahrenheit nha Kelvin)

1. 50 ^o C = ….. ^o F ?

ngwọta

N'ihe gbasara nrụgide ikuku nkịtị , ebe mmiri na-ajụ oyi bụ 0 ^oC na Celsius na 32 ^oF na Fahrenheit. N'ihe gbasara nrụgide ikuku nkịtị, ebe mmiri na-esi mmiri bụ 100 ^oC na Celsius na 212 ^oF na Fahrenheit.

0 ^o C = 32 ^o F na 1 00 ^o C = 212 ^o F. Mgbanwe nke 5 C ^o = mgbanwe nke 9 F ^o.

Maka nha Celsius, anya dị n'etiti 0 ^o C na 100 ^o C kewara n'ime oge 100 hà nhata. Maka nha Fahrenheit, anya dị n'etiti 0 ^o C na 100 ^o C kewara n'ime oge 180 hà nhata.

T ^o F = (180/100) T ^o C + 32

T ^o F = (9/5) T ^o C + 32

T ^o F = (9/5) 50 + 32

T ^o F = (9) 10 + 32

T ^o F = 90 + 32

T ^o F = 122

50 ^o C = 122 ^o F

[irp]

2. 86 ^o F = ….. ^o C?

ngwọta

T ^o C = (100/180)(T ^o F – 32)

T ^o C = (5/9)(T ^o F – 32)

T ^o C = (5/9)(86 – 32)

To ^o C = (5/9)(54)

To ^o C = (5)(6)

To ^o C = 30

86 ^o F = 30 ^o C

3. 50 ^o C = ….. K?

ngwọta

T = T ^o C + 273

T = 50 + 273

T = 323

50 ^o C = 323 K

[irp]

4. 212 ^o F = ….. K?

ngwọta

T ^o C = (100/180)(T ^o F – 32)

T ^o C = (5/9)(T ^o F – 32)

T ^o C = (5/9)(212 – 32)

To ^o C = (5/9)(180)

To ^o C = (5)(20)

To ^o C = 100

212 ^o F = 100 ^o C + 273

212 ^o F = 373 K

 

5. x ^o C = x ^o F

x = ……?

ngwọta

1: Ịtụgharị nha Celsius ka ọ bụrụ nha Fahrenheit

2: Ịtụgharị nha Fahrenheit ka ọ bụrụ nha Celsius

[irp]

6. 122°F = ….. Celsius

ngwọta

Enwere ike ide mgbanwe dị n'etiti nha okpomọkụ abụọ ahụ:

T _C = 5/9 (T _F – 32)

T _C = Okpomọkụ na Celsius, T _F = okpomọkụ na Fahrenheit

Okpomọkụ dị na Celsius:

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

T _C = 50 ^o C

7. Foto dị n'okpuru na-egosi nha okpomọkụ nke mmiri mmiri site na iji temometa nha Fahrenheit! Ọ bụrụ na ejiri temometa nha Celsius tụọ okpomọkụ nke mmiri mmiri ahụ, kedu ka okpomọkụ mmiri mmiri ahụ dị?

A maara:

Ọnụọgụ Fahrenheit (T _F ) = 95 ^o F

Achọrọ: nha Celsius

Ngwọta:

N'ọnọdụ nrụgide nke 1 atm, ebe mmiri na-ajụ oyi bụ 0 °C ebe nke Fahrenheit bụ 32 ^o F. N'aka nke ọzọ, ebe mmiri na-esi maka nke Celsius bụ 100 ^o C ebe nke Fahrenheit bụ 212 ^o F.

N'ihe gbasara Celsius, n'etiti 0 °C na 100 °C, e nwere 100 °, ebe n'ihe gbasara Fahrenheit, e nwere 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. Dabere na eserese dị n'okpuru, chọpụta okpomọkụ P na temometa Celsius.

ngwọta

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. Ọ bụrụ na okpomọkụ nke Celsius dị ka egosiri na foto dị n'okpuru, chọpụta okpomọkụ nke Fahrenheit dị ka egosiri na foto dị n'okpuru.

Ngwọta:

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

T ^o F = (9/5) T ^o C + 32

T ^o F = (9/5) 60 + 32

T ^o F = (9) 12 + 32

T ^o F = 108 + 32

T ^o F = 140

1. Ịgbanwe nha okpomọkụ
2. Mgbasawanye ahịrị
3. Mgbasawanye mpaghara
4. Mgbasawanye olu
5. okpomọkụ
6. Ihe nhata igwe nke okpomọkụ
7. Ike okpomọkụ na okpomọkụ kpọmkwem
8. Okpomọkụ zoro ezo, okpomọkụ nke njikọta, okpomọkụ nke vaporization
9. Nchekwa ike maka nnyefe okpomọkụ

GỤKWUO

1. E gosiri eserese nke ike (F) megide ogologo (x ) n'elu eserese dị n'okpuru. Chọta ihe na-agbanweghi agbanwe nke oge opupu ihe ubi!

ngwọta

Usoro iwu Hooke :

k = F / x

F = ike (Newton)

k = ihe na-agbanweghi agbanwe (Newton/mita)

x = mgbanwe n'ogologo (mita)

Oge opupu ihe ubi na-agbanwe agbanwe:

k = 10 / 0.02 = 20 / 0.04

k = 500 N/m

[irp]

2. Chọpụta ihe na-agbanwe agbanwe nke oge opupu ihe ubi.

ngwọta

Oge opupu ihe ubi na-agbanwe agbanwe:

k = F / x

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

k = 500 N/m

[irp]

3. Oge opupu ihe ubi A nwere ogologo mbụ ya bụ 60 cm, ebe oge opupu ihe ubi B nwere ogologo mbụ ya bụ 90 cm. Oge opupu ihe ubi A nwere ogologo mgbe niile 100 N/m, oge opupu ihe ubi B nwere ogologo mgbe niile 200 N/m. Oke mgbanwe na ogologo oge oge opupu ihe ubi A na mgbanwe na ogologo oge oge opupu ihe ubi B bụ…

A maara:

Ọnụọgụ oge opupu ihe ubi A (k _A ) = 100 N/m

Ọnụọgụ nke oge opupu ihe ubi B (kB ₎ = 200 N/m

Ike na mmiri A (F _A ) = F

Ike na mmiri B (F _B ) = F

Achọrọ: Δl _A : Δl _B

Ngwọta:

Usoro iwu Hooke:

Δl = F / k

Δl = mgbanwe n'ogologo, F = ike, k = ihe na-agbanweghi agbanwe

Mgbanwe n'ogologo oge opupu ihe ubi A:

Δl _A = F _A / k _A = F / 100

Mgbanwe n'ogologo oge opupu ihe ubi B:

Δl _B = F _B / k _B = F / 200

Oke mgbanwe n'ogologo oge opupu ihe ubi A na mgbanwe n'ogologo oge opupu ihe ubi B:

Δl _A : Δl _B

F/100: F/200

1 / 100: 1 / 200

1 / 1: 1 / 2

2: 1

[irp]

4. A na-eji ike nke 10 N dọpụta eriri naịlọn nke nwere ogologo mbụ ya bụ 20 cm. Mgbanwe n'ogologo eriri ahụ bụ 2 cm. Chọpụta oke ike ahụ ma ọ bụrụ na mgbanwe n'ogologo ya bụ 6 cm.

A maara:

Ike (F) = 10 N

Mgbanwe n'ogologo ( Δl ) = 2 cm = 0.02 m

Achọrọ: oke ike (F) ma ọ bụrụ na Δl = 0.06 m.

Ngwọta:

Na-adịgide adịgide:

k = F / Δl

k = 10 / 0.02 = 500 N/m

Oke ike (F) ma ọ bụrụ na Δl = 0.06 m:

F = kx

F = (500)(0.06)

F = 30N

[irp]

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1. Iwu Hooke
2. Nrụgide, nrụgide, modulus nke Young

GỤKWUO

Modulu Nsogbu Nrụgide nke Young - Nsogbu na Ngwọta

1. Eriri naịlọn nwere dayameta nke 2 mm, ike nke 100 N dọkpụrụ ya. Chọpụta nrụgide ahụ!

A maara:

Ike (F) = 100 N

Dayameta (d) = 2 mm = 0.002 m

Redịọs (r) = 1 mm = 0.001 m

Achọsiri ike: Nchekasị ahụ

Ngwọta:

Mpaghara:

A = π r ²

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

A = 3.14 x 10 ^-6 m ²

Nchekasị ahụ:

[irp]

2. A na-eji ike dọpụta eriri nwere ogologo mbụ nke 100 cm. Mgbanwe n'ogologo eriri ahụ bụ 2 mm. Chọpụta nrụgide ahụ!

A maara:

Ogologo mbụ (l ₀ ) = 100 cm = 1 m

Mgbanwe n'ogologo (Δl) = 2 mm = 0.002 m

A chọrọ: ụdị ahụ

Ngwọta:

Ụgbọ okporo ígwè ahụ :

[irp]

3. Eriri nke dị mm 4 n'obosara nwere ogologo mbụ ya bụ mita 2. Ike nke 200 N na-adọkpụ eriri ahụ. Ọ bụrụ na ogologo ikpeazụ nke oge opupu ihe ubi ahụ bụ mita 2.02, chọpụta: (a) nrụgide (b) nrụgide (c) modulus Young

A maara:

Dayameta (d) = 4 mm = 0.004 m

Redịọs (r) = 2 mm = 0.002 m

Mpaghara (A) = π r ² = (3.14) (0.002 m) ²

Mpaghara (A) = 0.00001256 m ² = 12.56 x 10 ^-6 m ²

Ike (F) = 200 N

Ogologo oge opupu ihe ubi mbụ (l ₀ ) = 2 m

Mgbanwe n'ogologo (Δl) = 2.02 – 2 = 0.02 m

Achọtara: (a) Nrụgide (b) Nrụgide c) Modulu Young

Ngwọta:

(a) Nrụgide ahụ

(b) Nsogbu ahụ

(c) Modulu Young

[irp]

4. Eriri nwere dayameta nke 1 cm na ogologo mbụ ya bụ 2 m. Ike nke 200 N na-adọkpụ eriri ahụ. Chọpụta mgbanwe n'ogologo eriri ahụ! Modulu Young nke eriri ahụ = 5 x 10 ⁹ N/m ²

A maara:

Mọdụlụ Young (E) = 5 x 10 ⁹ N/m ²

Ogologo mbụ (l ₀ ) = 2 m

Ike (F) = 200 N

Dayameta (d) = 1 cm = 0.01 m

Redịọs (r) = 0.5 cm = 0.005 m = 5 x 10 ^-3 m

Mpaghara (A) = π r ² = (3.14)(5 x 10 ^-3 m ) ² = (3.14)(25 x 10 ^-6 m2 ⁾

Mpaghara (A) = 78.5 x 10 ^-6 m ² = 7.85 x 10 ^-5 m ²

Achọrọ : Mgbanwe n'ogologo (Δl)

Ngwọta:

Usoro modulus nke Young:

Mgbanwe n'ogologo :

[irp]

5. Simenti nwere elu nke mita 5 ma nwee mpaghara nkeji nke 3 m ³ nke na-akwado oke nke kilogram 30,000. Chọpụta (a) Nsogbu (b) Nsogbu (c) Mgbanwe n'ịdị elu! Ọsọ ọsọ nke ike ndọda (g) = 10 m/s ^2. Modulu Young nke simenti = 20 x 10 ⁹ N/m ²

A maara:

Modulu simenti nke Young = 20 x 10 ⁹ N/m ²

Ogologo mbụ (l ₀ ) = mita 5

Mpaghara otu (A) = 3 m ²

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

Achọtara ya: (a) Nsogbu ahụ (b) Nsogbu ahụ (c) Mgbanwe dị n'ịdị elu!

Ngwọta:

(a) Nrụgide ahụ

(b) Nsogbu ahụ

(c) Mgbanwe n'ịdị elu

[irp]

1. Iwu Hooke
2. Nrụgide, nrụgide, modulus nke Young

GỤKWUO

1. A na-agba bọọlụ, nke ejikọtara na nsọtụ eriri kwụ ọtọ, gburugburu radius nke 20 cm. Bọọlụ ahụ dị ihe dị ka 360 ^o kwa sekọnd. Chọpụta oke nke ọsọ centripetal!

A maara:

Ọsọ akụkụ (ω ) = 360 ^o /sekọnd = 1 mgbanwe/sekọnd = 6.28 radians/sekọnd

Redịọs (r) = 20 cm = 0.2 m

Achọsiri ike: Ọsọ ọsọ nke etiti (a _r )

Ngwọta:

a _r = v ² / r —> v = r ω

a _r = (r ω) ² / r = r ² ω ² / r

a _r = r ω ²

a _s = ọsọ ọsọ nke centripetal, v = ọsọ kwụ ọtọ, r = radius, ω = ọsọ akụkụ

Oke nke osooso centripetal :

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

a _r = 1.256 m/s ²

[irp]

2. Otu wiil nke dị sentimita iri atọ na ise (30 cm) na-agbagharị na ọsọ nke 180 rpm. Chọpụta ọsọ centripetal nke isi ihe dị n'ọnụ wiil ahụ!

A maara:

Redịọs (r) = 30 cm = 0.3 m

Ọsọ akụkụ ( ω ) = mgbanwe 180 / sekọnd 60 = mgbanwe 3 / sekọnd = (3)(radian 6.28) / sekọnd = radian 18.84/sekọnd

Achọrọ: osooso centripetal ( a _r ) nke r = 0.3 m

Ngwọta:

Oke nke osooso centripetal:

a _r = r ω ²

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

a _r = 5.65 m/s ²

3. Ụgbọala na-agba ọsọ na-agagharị n'okporo ụzọ okirikiri nke radius mita 50. Ọ bụrụ na ọsọ ụgbọ ala ahụ bụ 72 km/h, chọpụta oke nke ọsọ centripetal!

A maara:

Redịọs (r) = mita 50

Ọsọ (v) = 72 km/h = (72)(mita 1000) / sekọnd 3600 = mita 20/sekọnd

Achọrọ : oke nke ọsọ ọsọ centripetal (a _r )

Ngwọta:

a _r = v ² / r = 20 ² / 50 = 400 / 50 = 8 m/s ²

[irp]

4. Ụgbọala nwere oke ọsọ centripetal kachasị nke 10 m/s ² , yabụ ụgbọala ahụ nwere ike ịtụgharị na-amịpụghị n'ụzọ gbagọrọ agbagọ. Ọ bụrụ na ụgbọala ahụ na-agagharị na-agbanwe agbanwe 108 km/h, kedu ka radius nke mgbagọ na-enweghị mkpuchi?

A maara:

Ọsọ ọsọ nke etiti (a _r ) = 10 m/s ²

Ọsọ ụgbọ ala (v) = 108 km/ h = (108)(1000) / 3600 = mita 30 s / sec na d

Achọrọ: radius (r)

Ngwọta:

r = v ² / a _r

r = 30 ^2/10 = 900 / 10 = mita 90 s

[irp]

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1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

1. Wheel 3 0 cm na radius na-agbagharị na 5 rad/s mgbe niile ^2. Kedu ka oke nke osooso ahịrị nke isi dị na (a) 10 cm site na etiti (b) 20 cm site na etiti (c) na nsọtụ wiil ahụ?

A maara:

Redịọs (r) = 30 cm = 0.3 m

Ọsọ ọsọ akụkụ ( α ) = 5 rad/s ²

Achọrọ: osooso ahịrị (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m

Ngwọta:

Mmekọrịta dị n'etiti osooso ahịrị (a) na osooso angular:

a = r α

(a) osooso ahịrị, r = 0.1 m

a = (0.1 m)(5 rad/s ² ) = 0.5 m/s ²

(b) osooso ahịrị, r = 0.2 m

a = (0.2 m)(5 rad/s ² ) = 1 m/s ²

(c) osooso ahịrị, r = 0.3 m

a = (0.3 m)(5 rad/s ² ) = 1.5 m/s ²

[irp]

2. Pulley nke dị sentimita iri ise na ise n'obosara. Ọ bụrụ na osooso ahịrị nke isi ihe dị n'akụkụ pulley ahụ bụ mita abụọ n'ime ^abụọ , chọpụta osooso angular nke pulley ahụ!

A maara:

Redịọs (r) = 50 cm = 0,5 m

Osooso kwụ ọtọ (a) = 2 m/s ²

Achọrọ: ngwa ngwa n'akụkụ

Ngwọta:

α = a / r = 2 / 0.5 = 4 rad/s ²

3. Agụba ndị ahụ dị na igwe blender nke dị sentimita iri abụọ na ise, na mbụ mgbe ha zuru ike. Mgbe sekọnd abụọ gachara, agụba ndị ahụ na-agbagharị 10 rad/s. Chọpụta oke nke ọsọ ọsọ ahịrị (a) isi dị na sentimita iri site na etiti (b) isi dị n'ọnụ agụba ndị ahụ.

A maara:

Redịọs (r) = 20 cm = 0.2 m

_{Ọsọ akụkụ mbụ} ( ωo ) = 0

Ọsọ akụkụ ikpeazụ ( ω _{t )} = 10 radians/sekọnd

Oge etiti oge (t) = sekọnd 2

Achọrọ: osooso ahịrị nke isi ihe dị na (a) r = 0.1 m (b) r = 0.2 m

Ngwọta:

ω _t = ω _o + α t

10 = 0 + α (2)

10 = 2 α

α = 10/2

 α = 5 rad/s

(a) osooso ahịrị nke r = 0.1 m

a = r α = (0.1 m) (5 rad/s ² ) = 0.5 m/s ²

(b) osooso ahịrị nke r = 0.2 m

a = r α = (0.2 m) (5 rad/s ² ) = 1 m/s ²

[irp]

4. A na-eme ka wiil dị sentimita iri abụọ na radius dị ngwa ngwa maka sekọnd abụọ site na 20 rad/s ruo mgbe ọ ga-ezu ike. Chọpụta oke nke osooso ahịrị (a) isi dị sentimita iri site na etiti (b) isi dị sentimita iri site na etiti.

A maara:

Redịọs (r) = 20 cm = 0.2 m

Ọsọ akụkụ mbụ ( ω _o ) = 20 rad/s

_{Ọsọ akụkụ ikpeazụ} ( ωt ) = 0

Oge etiti oge (t) = sekọnd 2

Achọtara: Ọsọ ọsọ ahịrị (a) r = 0.1 m (b) r = 0.2 m

Ngwọta:

ω _t = ω _o + α t

0 = 20 + α (2)

-20 = 2 α

α = -20 / 2

 α = -10 rad/s

Akara ọjọọ pụtara na ọsọ akụkụ ahụ na-ebelata.

(a) osooso ahịrị nke r = 0.1 m

a = r α = (0.1 m) (-10 rad/s ² ) = -1 m/s ²

(b) osooso ahịrị nke r = 0.2 m

a = r α = (0.2 m) (-10 rad/s ² ) = -2 m/s ²

[irp]

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1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

1. Bọọlụ dị na njedebe nke eriri na-agbagharị n'otu aka ahụ n'okirikiri kwụ ọtọ nke radius mita 2 na ọsọ nkuku na-agbanwe agbanwe 10 rad/s. Chọpụta oke ọsọ ahịrị nke isi dị:

(a) mita 0.5 site na etiti

(b) 1 mita site na etiti

(c) mita 2 site na etiti

A maara:

Redịọs (r) = mita 0.5 n'akụkụ, mita 1, mita 3

Ọsọ akụkụ = 10 radians s / se cond

Achọrọ: Ọsọ ahịrị kwụ ọtọ

Ngwọta:

v = r ω

v = ọsọ kwụ ọtọ , r = radius , ω = ọsọ akụkụ

(a) Ọsọ kwụ ọtọ (v) nke isi ihe dị na r = mita 0.5

v = r ω = (mita 0.5 s )(10 rad/s) = mita 5 s / se ọnọdụ

(b) Ọsọ kwụ ọtọ (v) nke isi ihe dị na r = 1 mita

v = r ω = (1 mita)(10 rad/s) = mita 10 s / se ọnọdụ

(c) Ọsọ kwụ ọtọ (v) nke isi ihe dị na r = mita 2 s

v = r ω = (mita 2 s )(10 rad/s) = mita 20 s / se ọnọdụ

[irp]

2. Agụba ndị dị na igwe blender na-agbagharị na ọsọ nke 5000 rpm. Chọpụta oke ọsọ ahịrị:

(a) isi ihe dị sentimita 5 site na etiti

(b) isi ihe dị sentimita iri site na etiti ya

A maara:

Radius (r) = 5 cm na 10 cm

Ọsọ nkuku (ω) = 5000 mgbanwe / s 60na-ekwu = 83.3 mgbanwe / seọnọdụ = (83.3)(radian 6.28) / seọnọdụ = 523.3 radians / seọnọdụ

Achọrọ: Oke nke ọsọ ahịrị

Ngwọta:

(a) Oke ọsọ nke isi ihe dị mita 0.05 site na etiti

v = r ω = (0.05 m)( 523.3 rad/s) = 26 m/s

(b) Oke ọsọ nke akara ahịrị nke isi ihe dị mita 0,1 site na etiti

v = r ω = (0.1 m)( 523.3 rad/s) = 52 m/s

3. Isi ihe dị n'ọnụ wiil nke dị sentimita iri atọ na ise n'obosara, gburugburu okirikiri na ọsọ na-agbanwe agbanwe nke mita iri na otu/sekọnd.

Kedu oke ọsọ nke akụkụ ahụ?

A maara:

Redịọs ( r) = 30 cm = 0.3 mita s

Ọsọ kwụ ọtọ (v) = mita 10 s / se ọnọdụ

Achọrọ: ọsọ akụkụ

Ngwọta:

ω = v / r = 10 / 0.3 = 33 radians s / se cond

[irp]

4. Ụgbọala nwere taya sentimita iri ise na dayameta na-aga mita iri n'ime otu sekọnd. Kedu ọsọ akụkụ ya?

A maara:

Redịọs (r) = mita 0.25

Ọsọ kwụ ọtọ nke isi ihe dị n'ọnụ taya (v) = mita 10 s / se cond

Achọtara: Ọsọ nkuku

Ngwọta:

ω = v / r = 10 / 0.25 = 40 radians s / se cond

5. Ọsọ wiil nke 20 cm na radians bụ 120 rpm. Gịnị bụ anya ọ ga-adị ma ọ bụrụ na ụgbọala ahụ na-eme njem n'ime sekọnd iri?

A maara:

Redịọs (r) = 20 cm = 0.2 mita s

Ọsọ nkuku = 120 Mkpuchi / 60 sekconds = 2 Mkpuchi / seọnọdụ = (2)(6.28) radians / seọnọdụ = 12.56 radians / seọnọdụ

Achọtara m: anya

Ngwọta:

Ọsọ nke nsọtụ wiil:

v = r ω = (0.2 mita s )(12.56 radians s / se cond ) = mita 2.5 s / se cond

2.5 mitas / second pụtara isi ihe dị n'akụkụ njem wiil 2.5 mitas kwa otu sekọnd. Mgbe 10 nkeconds, isi ihe ahụ na-eme njem 25 mitas.

Ya mere, anya dị mita 25 n'akụkụ.

[irp]

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1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

Ntụgharị nkeji akụkụ (ogo, radian, mgbanwe)

1. ¼ rev = ….. ^o ( ogo )?

ngwọta

Mgbanwe 1 = 360 ^o

½ rev = 180 ^o

¼ rev = 90 ^o

2. ½ rev = …….. r ad?

ngwọta

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

½ rev = pi rad = 3.14 rad

3. 180 ^o = ….. rev?

ngwọta

360 ^o = 1 mgbanwe

180 ^o = ½ rev

[irp]

4. 90 ^o = ….. rad ?

ngwọta

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

180 ^o = π rad = 3.14 rad

90 ^o = ½ π rad = ½ (3.14) = 1.57

5. 60 rad = ….. rev?

ngwọta

6.28 rad = 1 rev

60 rad/6.28 = 9.55 rev

6. 40 rad= ….. ^o?

ngwọta

6.28 rad = 360 ^o

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

[irp]

Mbugharị akụkụ na mwepụ ahịrị

1. Wheel igwe kwụ otu ebe nke dị sentimita iri isii na dayameta na-agbagharị radian iri. Kedu ihe bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?

A maara:

Redịọs (r) = 30 cm = 0.3 m

Akuku (θ ) = radian iri

Achọtara: mgbanwe kwụ ọtọ (l)

Ngwọta:

l = r θ

l = (0.3 m)(10 rad)

l = mita 3

2. Ígwè nke dị sentimita iri ise na ise n'obosara na-agbagharị 360 ^o . Gịnị bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?

A maara:

Redịọs (r) = 50 cm = 0.5 mita

Akuku ( θ ) = 360 ^o = 6.28 radians

Achọtara: mgbanwe kwụ ọtọ (l)

Ngwọta:

l = r θ

l = (0.5 m)(6.28 rad)

l = mita 3.14

[irp]

3. Ígwè nke dị sentimita iri ise na ise n'obosara na-agbagharị ugboro abụọ. Gịnị bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?

A maara:

Redịọs (r) = 50 cm = 0,5 m

Akuku ( θ ) = mgbanwe abụọ = (2)(radian 6.28) = radian 12.56

Achọrọ: mgbanwe ahịrị (l)?

Ngwọta:

l = r θ

l = (0.5 m)(12.56 rad)

l = 6.28m

4. Isi ihe dị n'ọnụ wiil nke dị mita abụọ na radius, na-agagharị mita 100. Chọpụta ebe nrụgharị akụkụ ahụ dị.

A maara:

Redịọs (r) = ½ (dayameta) = ½ (mita 2) = 1 mita

Ngafe ahịrị (l) = mita 100

Ngwọta:

(a) Ngafe akụkụ (na radians)

θ = s / r = 100 / 1 = 100 radian

(b) Mgbanwe akụkụ (na ogo)

1 radian = 360 ^o

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

(c) Nkwapụ akụkụ (n'ọgba aghara)

6.28 radians = 1 mgbanwe

36,000 / 6.28 = mgbanwe 5732,484

[irp]

5. Ihe dị n'ime ya na-agba gburugburu mita iri ma na-agbagharị 180 ^o . Gịnị bụ radius?

A maara:

Ngafe kwụ ọtọ (l) = mita 10

Akuku ( θ ) = 180 ^o = 3.14 radians

Achọrọ: radius (r)

Ngwọta:

r = l / θ = 10 / 3.14 = 3.18 mita

[irp]

1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

1. Ígwè nke dị mita 1 n'ime radius na-agba ọsọ n'otu aka ahụ na 2 rad/s ^2. Chọpụta osooso akụkụ na ọsọ akụkụ nke wiil ahụ, sekọnd 2 ka e mesịrị.

A maara:

Redịọs (r) = mita 1

Ọsọ ọsọ akụkụ (α ) = 2 rad/s ²

Achọrọ: osooso akụkụ na ọsọ akụkụ mgbe sekọnd abụọ gasịrị.

Ngwọta:

(a) Ọsọ ọsọ n'akụkụ n'ime sekọnd abụọ

Ọsọ ọsọ nke wiil ahụ na-agbanwe agbanwe, yabụ mgbe sekọnd abụọ gachara, ọsọ ọsọ nke wiil ahụ bụ 2 rad/s ².

(b) Ọsọ nkuku n'ime sekọnd abụọ

Ọsọ ọsọ nke akụkụ 2 rad/s ² pụtara na ọsọ nke akụkụ na-abawanye site na radian abụọ/sekọnd kwa sekọnd 1. Mgbe sekọnd 1 gachara, ọsọ nke akụkụ = radian abụọ/sekọnd. Mgbe sekọnd 2 gachara, ọsọ nke akụkụ = radian anọ/sekọnd.

[irp]

2. Ihe dị n'ime ya na-agba ọsọ ọsọ n'otu aka ahụ site n'izu ike ruo 60 rpm n'ime sekọnd iri. Chọpụta oke ọsọ nke akụkụ!

A maara:

Ọsọ akụkụ mbụ (ω _o ) = 0

Ọsọ akụkụ ikpeazụ ( ω _t ) = 60 rpm = mgbanwe 60 / sekọnd 60 = mgbanwe 1 / sekọnd = 6,28 radians/sekọnd

Oge etiti oge (t) = sekọnd 10

Achọtara: Ọsọ ọsọ akụkụ ( α )

Ngwọta:

ω _o = ọsọ angular mbụ, ω _t = ọsọ angular ikpeazụ, α = ọsọ angular, t = oge etiti, θ = akụkụ.

ω _t = ω _o + α t

6.28 = 0 + α (10)

6.28 = 10 α

α = 6.28 / 10

α = 0.628 rad/s ²

Oke nke osooso akụkụ = 0.628 rad/s ²

3. Ihe na-ebelata ọsọ site na 20 rad/s ruo 10 rad/s n'ime sekọnd anọ. Chọpụta oke ọsọ angular!

A maara:

Oge etiti oge (t) = sekọnd 4

Ọsọ akụkụ mbụ ( ω _o ) = 20 rad/s

Ọsọ akụkụ ikpeazụ ( ω _t ) = 10 rad/s

Achọrọ : oke nke osooso akụkụ (α )

Ngwọta:

ω _t = ω _o + α t

10 = 20 + α (4)

10 – 20 = 4 α

-10 = 4 α

α = -10 / 4

α = – 2.5 rad/s ²

Oke nke osooso akụkụ bụ -2.5 rad/s ^2. Akara ọjọọ pụtara na ihe ahụ na-ebelata ọsọ. Osooso = ọsọ akụkụ na-abawanye, mbelata ọsọ = ọsọ akụkụ na-ebelata.

[irp]

4. A na-eme ka ihe dị ngwa ngwa maka sekọnd abụọ site na 10 rad/s ruo 2 rad/s ^2. Chọpụta akụkụ gbara gburugburu site na ihe ahụ!

A maara:

ọsọ akụkụ mbụ ( ω _o ) = 10 rad/s

osooso akụkụ (α ) = 2 rad/s ²

oge etiti oge (t) = sekọnd 2

Achọtara: akụkụ (θ)

Ngwọta:

θ = ω _o + ½ α t ²

θ = (10)(2) + ½ (2)(2 ² )

θ = 20 + (1)(4) = 20 + 4

θ = 24 radians

5. Ụkwụ ụgbọala na-ebelata site na 20 rad/s iji zuru ike mgbe agba nke radian gbara ya gburugburu 20 gasịrị. Chọpụta oke nke ọsọ nke wiil ahụ!

A maara:

ọsọ akụkụ mbụ ( ω _o ) = 20 rad/s

_{ọsọ akụkụ ikpeazụ} ( ωt ) = 0

Akuku ( θ ) = radian 20

Achọrọ: oke nke osooso akụkụ (α )

Ngwọta:

ω _t ² = ω _o ² + 2 α θ

0 = 20 ² + 2 α (20)

0 = 400 + 40 α

400 = – 40 α

α = – 400 / 40

α = – 10 rad/s ²

6. Mkpanaka PQ nke ogologo ya bụ 60 cm na-agbagharị gburugburu isi ihe Q dị ka axis nke ntụgharị na PQ dị ka radius nke okirikiri. Mkpanaka PQ na-agba ọsọ site na ezumike ruo 0.3 rad/s ^2. Kedu ọsọ ahịrị nke isi ihe P na t = sekọnd 10, ọ bụrụ na ọnọdụ mbụ nke akụkụ ahụ bụ 0.

A maara:

Ogologo mkpanaka PQ = radius nke okirikiri (r) = 60 cm = 60/100 m = 0.60 m

Ọsọ akụkụ mbụ (ω _o ) = 0 rad/s

Ọsọ ọsọ akụkụ (α) = 0.3 rad s ^-2

Ọnọdụ akụkụ mbụ (θ _o ) = 0

Achọrọ: Ọsọ kwụ ọtọ (v) nke isi ihe P na t = sekọnd 10

Ngwọta:

Ọsọ akụkụ ikpeazụ mgbe sekọnd iri gachara:

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

Ọsọ ikpeazụ nke ahịrị mgbe sekọnd iri gachara:

v = r ω = (0.6 m)(3 rad/s) = 1.8 m/s

[irp]

7. Ihe na-agbagharị na ọsọ mbụ nke 4 rad/s, ọsọ akụkụ ahụ bụ 0.5 rad/s ^2. Kedu ọsọ nke ihe mgbe sekọnd anọ gachara?

A maara:

Ọsọ akụkụ mbụ (ω _o ) = 4 rad/s

Ọsọ ọsọ akụkụ (α) = 0.5 rad/s ²

Oge etiti oge (t) = sekọnd 4

Achọrọ: Ọsọ ihe mgbe sekọnd 4 gachara (ω _t )

Ngwọta:

ω _t = ω _o + α t

ω _t = 4 + (0.5)(4)

ω _t = 4 + 2

ω _t = 6 rad/s

8. Elekere mgbidi nwere dayameta nke sentimita iri nwere agịga atọ, nke ọ bụla iji gosi awa, nkeji na sekọnd. Ntụnyere ọnụọgụ nke agịga awa: agịga nkeji: agịga nke abụọ.

A. 1: 3: 180

B. 1: 12: 720

C. 4: 12: 180

D. 4: 12: 720

A maara:

1 elekere = nkeji iri isii

Awa iri na abụọ = (12)(nkeji iri isii) = nkeji iri asaa na abụọ

Ọsọ nke agịga awa = 1 mgbanwe / awa 12 = 1 mgbanwe / nkeji 720

Ọsọ nkuku nke agịga nkeji = 1 mgbanwe / 1 awa = 1 mgbanwe / 60 nkeji

Ọsọ nkuku nke agịga nke abụọ = 1 mgbanwe / 1 nkeji

Achọrọ: Ntụnyere ọnụọgụ nke agịga awa: agịga nkeji: agịga nke abụọ

Ngwọta:

Usoro mmegharị okirikiri:

Ọsọ akụkụ = ọnụọgụ nke mgbanwe / oge etiti oge

Ọnụọgụ nke mgbanwe = ọsọ akụkụ x oge etiti oge

Dịka ọmụmaatụ, n'otu oge ahụ, nkeji 1, ole mgbanwe nke agịga awa, agịga nkeji, na agịga nke abụọ.

Ọnụọgụ nke mgbanwe nke agịga awa = ọsọ akụkụ x oge etiti = (mgbanwe 1 / nkeji 720)(nkeji 1) = 1/720 mgbanwe

Ọnụọgụ nke mgbanwe nke agịga nkeji = ọsọ akụkụ x oge etiti = (1 mgbanwe / nkeji 60)(1 nkeji) = 1/60 mgbanwe

Ọnụọgụ mgbanwe nke agịga nke abụọ = ọsọ akụkụ x oge etiti = (mgbanwe 1 / nkeji 1)(nkeji 1) = 1/1 mgbanwe

Ntụnyere nke ọtụtụ mgbanwe:

Ọnụọgụ nke mgbanwe nke agịga awa: ọnụọgụ nke mgbanwe nke agịga nkeji: ọnụọgụ nke mgbanwe nke agịga nke abụọ.

1/720: 1/60: 1/1

1/720: 12/720: 720/720

1: 12: 720

Azịza ya ziri ezi bụ B.

9. Bọọlụ e ji eriri kee. A na-atụgharị bọọlụ ahụ ka ọ na-agagharị n'ime okirikiri dị ka nke dị n'elu ụwa. N'ime mmegharị a, bọọlụ ahụ na-agba ọsọ n'ihi na…..

A. Esemokwu ikuku

B. Ibu nke bọọlụ

C. Ike nrụgide

D. Ike ike ndọda

Ngwọta:

Iwu nke abụọ nke mmegharị Newton kwuru na ihe na-eme ngwa ngwa ma ọ bụrụ na enwere ike sitere na ya. A na-ejikọ bọọlụ ahụ na eriri ahụ, mgbe eriri ahụ na-agbagharịkwa, bọọlụ ahụ na-agbagharịkwa. Mgbe bọọlụ ahụ na-agbagharị (bọọlụ ahụ na-agagharị n'ime okirikiri), bọọlụ ahụ na-agba ọsọ centripetal. Ihe niile na-agagharị bụ ọsọ centripetal gburugburu. Ike centripetal na-akpata ọsọ centripetal . Ike centripetal maka ikpe a bụ ike nrụgide.

Azịza ya ziri ezi bụ C.

[irp]

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1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

1. Ihe na-agagharị n'ime okirikiri na ọsọ nkuku na-agbanwe agbanwe nke 10 rad/s. Chọpụta (a) Ọsọ nkuku mgbe sekọnd 10 gasịrị (b) Nkwagharị nkuku mgbe sekọnd 10 gasịrị.

A maara:

Ọsọ akụkụ (ω) = 10 rad/s

A chọrọ:

(a) Ọsọ akụkụ (ω) mgbe sekọnd iri gasịrị.

(b) Akụkụ (θ) mgbe sekọnd iri gasịrị

Ngwọta:

(a) Ọsọ akụkụ (ω) mgbe sekọnd abụọ gasịrị

Ihe ahụ na -agagharị n'otu okirikiri ka ọsọ akụkụ ahụ wee na-agbanwe agbanwe, 10 rad/s.

(b) Mgbanwe akụkụ (θ)

Ọsọ nkuku na-aga n'ihu 10 radians/sekọnd pụtara ihe dị ka radians iri kwa sekọnd. Mgbe sekọnd iri gachara, ihe dị ka radians iri 10 = radians iri 100.

[irp]

2. Ihe dị n'ime ya na-agagharị n'ime okirikiri nke na-agba ọsọ nke 10 m/s. Radius nke okirikiri = 1 mita. Chọpụta (a) Ọsọ nke ihe dị n'ime ya mgbe sekọnd 5 gasịrị (b) Nkwaga nke ihe dị n'ime ya mgbe sekọnd 5 gasịrị (c) Ọsọ nke etiti.

A maara:

Radius nke okirikiri (r) = 1 mita

Ọsọ nke ihe ndị dị n'ime ya (v) = 10 m/s

Ngwọta:

(a) Ọsọ nke ihe ndị na-eme ka ihe dị n'ime ya gbapụ mgbe sekọnd ise gachara

Mmegharị nke ihe ahụ dị n'otu mmegharị okirikiri nke mere na ọsọ ahụ na-adịgide, 10 m/s.

(b) Nkwapụ nke ihe ndị dị n'ime ya mgbe sekọnd ise gachara

Mita iri/sekọnd pụtara kwa sekọnd 1, mwepụ nke mkpụrụ ahụ = mita iri. Mgbe sekọnd ise gachara, mwepụ nke mkpụrụ ahụ = mita 5 x 10 = mita iri ise.

(c) Ọsọ ọsọ nke etiti (a _r )

a _r = v ² / r = 10 ² / 1 = 100 / 1 = 100 m/s ²

3. A na-agba bọọlụ e jikọtara n'otu nsọtụ eriri gburugburu n'ime okirikiri nwere radius nke mita abụọ na ọsọ na-agbanwe agbanwe nke 60 rpm. Chọpụta (a) oke ọsọ akụkụ mgbe sekọnd abụọ gasịrị (b) mgbanwe akụkụ mgbe nkeji 1 gasịrị.

A maara:

Radius nke okirikiri (r) = mita 2

Ọsọ akụkụ (ω) = 60 rpm = mgbanwe 60 / 1 nkeji

= Mgbanwe 60 / Sekọnd 60 = Mgbanwe 1 / Sekọnd = 2π radians / Sekọnd

= 2(3.14) radian / sekọnd = 6.28 radian / sekọnd

Ngwọta:

(a) Ọsọ akụkụ (ω) mgbe sekọnd abụọ gasịrị

Ọsọ akụkụ ahụ na-agbanwe agbanwe yabụ mgbe sekọnd abụọ gachara, ọsọ akụkụ ahụ (ω) = 6.28 radians / sekọnd

(b) Mgbanwe akụkụ (θ)

Ọsọ akụkụ = 1 mgbanwe/sekọnd pụtara kwa sekọnd 1, bọọlụ ahụ na-enweta mgbanwe 1. Mgbe sekọnd 60 gachara, bọọlụ ahụ na-emegharị mgbanwe 60.

Ọsọ nkuku = radians 6.28/sekọnd pụtara na sekọnd 1 ọ bụla, bọọlụ ahụ na-agagharị na nkuku radians 6.28. Mgbe sekọnd 60 gachara, bọọlụ ahụ na-agagharị radians 376.8.

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4. Ígwè igwe kwụ otu ebe na-agbagharị ugboro 120 n'ime sekọnd 60. Kedu ọsọ akụkụ?

Ngwọta:

(a) mgbanwe kwa nkeji (rpm)

Mgbanwe 120 / sekọnd 60 = mgbanwe 120 / nkeji 1 = mgbanwe 120 / nkeji = 120 rpm

(b) ogo kwa sekọnd ( ^o / s)

Mgbanwe 1 = 360 ^o , mgbanwe 120 = 43200 ^o

Mgbanwe 120 / sekọnd 60 = (120)(360 ^o ) / sekọnd 60 = 43200 ^o / sekọnd 60 = 720 ^o / sekọnd

(c) radians kwa sekọnd (rad/s)

1 mgbanwe = 6.28 radians

Mgbanwe 120 / sekọnd 60 = (120)(6.28) radian / sekọnd 60 = 753.6 radian / sekọnd 60 = 12.56 radian/sekọnd.

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1. Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
2. Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
3. Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
4. Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
5. Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
6. Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
7. Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta

GỤKWUO

1. A na-agba bọọlụ 0. 1 -kg, nke e jikọtara na njedebe nke eriri kwụ ọtọ, gburugburu radius 50 cm na ọsọ akụkụ nke bọọlụ ahụ bụ s 4 rad s ^-1 . Kedu ka ike centripetal si dị?

A maara:

Ibu (m) = gram 100 = 100/1000 kg = 1/10 kg = 0.1 kg

Ọsọ akụkụ ( ω ) = 4 radians/se cond

Redịọs (r) = 50 cm = 50/100 m = 0.5 m

Achọtara: Ike etiti

Ngwọta:

Ike centripetal bụ ike net nke na-emepụta osooso centripetal :

∑ F = ma _r

∑ F = mv ² /r = m ω ² r

∑ F = ike net = ike centripetal , m = oke , v = ọsọ , ω = ọsọ akụkụ , r = radius

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

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2. Bọọlụ na-agbagharị n'otu aka ahụ n'ime okirikiri kwụ ọtọ. Ọ bụrụ na ọsọ ahụ agbanwee ruo ugboro anọ uru mbụ, kedu ka ike centripetal si dị?...

A maara:

Oke = m

Ọsọ = v

Ọsọ mbụ = v _o

Radịa (r) = r

Achọrọ: Oke ike centripetal

Ngwọta:

3. E mere radius R nke nwere banked curve ka ụgbọala na-aga n'ọsọ 12 ms ^–1 wee nwee ike ịgbanwe ntụgharị ahụ n'enweghị nsogbu. Ọnụọgụ nke esemokwu static n'etiti ụgbọala na ụzọ = 0.4. Gịnị bụ radius R. Ọsọ ọsọ n'ihi ike ndọda ( g ) = 10 ms ^–2.

A maara:

Ọsọ (v) = 12 m/s

Ọnụọgụ nke esemokwu na-anaghị agbanwe agbanwe ( μs ₎ = 0.4

Ọsọ ọsọ nke ike ndọda (g) = 10 m/s ²

Achọrọ: Radius (R)

Ngwọta:

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1. Uka na ibu
2. Ike nkịtị
3. Iwu ngagharị nke abụọ nke Newton
4. Ike esemokwu
5. Mmegharị n'elu kwụ ọtọ na-enweghị ike esemokwu
6. Mmegharị nke ahụ abụọ nwere otu osooso ahụ n'elu elu kwụ ọtọ siri ike yana ike esemokwu
7. Mmegharị n'elu ụgbọelu ahụ gbagọrọ agbagọ na-enweghị ike esemokwu
8. Mmegharị n'elu ụgbọelu siri ike nke nwere ike esemokwu
9. Mmegharị n'ime igwe mbuli elu
10. A na-ejikọta mmegharị nke ahụ site na eriri na pulleys
11. Ahụ abụọ nwere otu oke ọsọ ọsọ
12. Ịgbagharị agba dị larịị - ike mmegharị okirikiri
13. Ịgbagharị agba gburugburu - mgbanwe nke mmegharị okirikiri
14. Mmegharị otu otu n'ime okirikiri kwụ ọtọ
15. Ike etiti n'ime mmegharị okirikiri otu otu

GỤKWUO