Amasondo axhunywe ngamabhande - izinkinga nezixazululo

Amasondo axhunywe ngamabhande - izinkinga nezixazululo

1. Amasondo amathathu axhunyiwe njengoba kuboniswe esithombeni esingezansi.

Uma u-R _A = 10 cm, u-R _B = 4 cm, kanye no-R _C = 40 cm, khona-ke isilinganiso sejubane le -angular lesondo u-A kanye nesondo u-C singu …

Kwaziwa:

Irediyasi yesondo A (r _A ) = 10 cm

Irediyasi yesondo B (r _B ) = 4 cm

Irediyasi yesondo C (r _C ) = 40 cm

Okufunayo: isilinganiso sejubane le-angular lesondo A nesondo C

Isixazululo:

Ijubane eliyindilinga lamasondo A no-C

Tumjikelezo wesondo A mkhulu kakhulu kunomjikelezo wesondo C. Uma isondo C selijikelezwe ngokuzungeza, indilinga eyodwa (360)^o), ngesikhathi esifanayo isondo A alikajikelezi indilinga eyodwa (360^oNgakho-ke, ijubane le-angular lesondo A alilingani nejubane le-angular lesondo C.

Kodwa-ke, isondo A nesondo C kuxhunyaniswe ngezintambo, ukuze ngesikhathi esifanayo, ibanga okuhanjwa ngasemaphethelweni esondo A kulingana nebanga elihanjwa ngasemaphethelweni esondo C. Ngakho-ke ijubane eliqondile lomphetho wesondo C (v)_C) okulingana ne- isivinini esiqondile konqenqema lwesondo A (v_A).

v_A =v_C

r_A ω_A =r_C ω_C

10 ω_A = 40 ω_C

ω_A / ω_C = 40/10

ω _A / ω _C = 4/1

2. Amasondo B no-C anomjikelezo ofanayo wokujikeleza futhi isondo A lihambisana nesondo B. Uma irediyasi kwesondo A = irediyasi kwesondo C = 30 cm, irediyasi kwesondo B = 60 cm, bese unquma isilinganiso se- isivinini esiqondile phakathi kwamasondo A, B, kanye C.

Kwaziwa:

Irediyasi yesondo A (r)_A) = 30 cm = 0.3 amamitha

Irediyasi yesondo B (r)_B) = 60 cm = 0.6 amamithas

Irediyasi yesondo C (r)_C) = 30 cm = 0.3 amamithas

Kufunwa: isilinganiso sejubane eliqondile phakathi kwamasondo A, B, kanye no-C.

Isixazululo:

Isivinini esiqondile somphetho wesondol A :

WIsithende A kanye nesondo B kuxhumene njengoba kuboniswe esithombeni esingezansi, ngakho-ke ijubane le-angular lesondo A alilingani nejubane le-angular lesondo B. Lokhu kungenxa yokuthi umjikelezo wesondo B mkhulu kunesondo A. Ngesikhathi esifanayo, lapho isondo A nxazonke kwesiyingi esisodwa (360^o), isondo B alikafiki esijikelezweni esisodwa (360)^o). Kodwa-ke, ngesikhathi esifanayo, ibanga elihanjwa ngomphetho wesondo A lilingana nebanga elihanjwa ngomphetho wesondo B. Ngakho-ke ijubane eliqondile lomphetho wesondo A (v)_A) ilingana nejubane eliqondile lomphetho wesondo B (v_B).

Isivinini esiqondile somphetho wesondo A:

v _A = r _A ω _A = 0.3 ω _A

Tisivinini esiqondile somphetho wesondol B :

Wisithende u-B kanye nesondo u-B kuyanamathelana, ngakho-ke, isondo u-B kanye nesondo u-C kuyajikelezana. Uma isondo u-B lizungeza indilinga eyodwa (360)^o) kunesikhathi esifanayo, isondo C liphinde lizungeze indilinga eyodwa (360^o). Njengoba ijikeleza ndawonye, ​​khona-ke ijubane eliyindilinga lesondo B (ω)_B) ilingana nesivinini se-angular sesondo C (ω_C) = ω. Kodwa ijubane eliqondile lesondo B (vB) alilingani nejubane eliqondile lesondo C (v_C)

Isivinini esiqondile somphetho wesondo B:

v _B = r _B ω _B = 0.6 ω _B = 0.6 ω

Isivinini esiqondile somphetho wesondo C:

v _C = r _C ω _C = 0.3 ω _C = 0.3 ω

Isivinini esiqondile somphetho wesondo A (v_A) kufana nesivinini esiqondile somphetho we-wheiB (v_B)

v _A = v _B

0.3 ω _A = 0.6 ω

ω _A = 0.6 ω / 0.3

ω _A = 2 ω

Isivinini esiqondile somphetho wesondo A (v_A):

v _A = 0.3 ω _A = 0.3 ( 2 ω) = 0.6 ω

Isilinganiso yesivinini esiqondile phakathi kwamasondo A, B, kanye no-C.

i-vA: i-vB: v_C

0.6 ω : 0.6 ω : 0.3 ω

0.6:0.6:0.3

6: 6 : 3

2: 2:1