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
Okufunwayo: isilinganiso sejubane le-angular lesondo A nesondo C
Isixazululo:
Ijubane eliyindilinga lamasondo A no-C
Umjikelezo wesondo A mkhulu kakhulu kunomjikelezo wesondo C. Uma isondo C selijikelezwe yindilinga eyodwa (360 o ), ngesikhathi esifanayo isondo A alikajikelezi indilinga eyodwa (360 o ). Ngakho-ke, ijubane le-angular lesondo A alilingani nejubane le-angular lesondo C.
Kodwa-ke, isondo A kanye nesondo C kuxhumene ngezintambo, ukuze ngesikhathi esifanayo, ibanga elihanjwa ngomphetho wesondo A lilingane nebanga elihanjwa ngomphetho wesondo C. Ngakho-ke ijubane eliqondile lomphetho wesondo C (v C ) lilingana nejubane eliqondile lomphetho wesondo 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
[irp]
2. Amasondo B no-C anomjikelezo ofanayo wokujikeleza futhi isondo A lihambisana nesondo B. Uma irediyasi yesondo A = irediyasi yesondo C = 30 cm, irediyasi yesondo B = 60 cm, khona - ke nquma isilinganiso sejubane eliqondile phakathi kwamasondo A, B, no -C.
Kwaziwa:
Irediyasi yesondo A (r)A) = 30 cm = 0.3 amamitha
Irediyasi yesondo B (r B ) = 60 cm = 0.6 meter s
Irediyasi yesondo C (r C ) = 30 cm = 0.3 imitha s
Okufunekayo: isilinganiso sejubane eliqondile phakathi kwamasondo A, B, kanye no-C.
Isixazululo:
Isivinini esiqondile somphetho wesondo A :
Isithende esingu-W kanye nesondo u-B kuxhumene njengoba kuboniswe esithombeni esingezansi, ngakho-ke ijubane le-angular lesondo u-A alilingani nejubane le-angular lesondo u-B. Lokhu kungenxa yokuthi umjikelezo wesondo u-B mkhulu kunesondo u-A. Ngesikhathi esifanayo, lapho isondo u-A lizungeze indilinga eyodwa (360 o ) , isondo u-B alikafiki indilinga eyodwa (360 o ). Kodwa-ke, ngesikhathi esifanayo, ibanga elihanjwa ngomphetho wesondo u-A lilingana nebanga elihanjwa ngomphetho wesondo u-B. Ngakho-ke ijubane eliqondile lomphetho wesondo u-A (v A ) lilingana nejubane eliqondile lomphetho wesondo u-B (v B ).
Isivinini esiqondile somphetho wesondo A:
v A = r A ω A = 0.3 ω A
Isivinini esiqondile somphetho wesondo B :
Isithende esingu-W B nesondo u-B ziyanamathelana, ngakho-ke, isondo u-B nesondo u-C ziyajikelezana. Uma isondo u-B lijikeleza indilinga eyodwa (360 o ) kunesikhathi esifanayo, isondo u-C nalo lijikeleza indilinga eyodwa (360 o ). Njengoba lijikelezana ndawonye, khona-ke ijubane le-angular lesondo u-B (ω B ) lilingana nejubane le-angular lesondo u-C (ω C ) = ω. Kodwa ijubane eliqondile lesondo u-B (vB) alilingani nejubane eliqondile lesondo u-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
Ijubane eliqondile lomphetho wesondo A (v A ) lifana nejubane eliqondile lomphetho wesondo B ( 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 sejubane eliqondile phakathi kwamasondo A, B, kanye no-C.
vA: vB : vC
0.6 ω : 0.6 ω : 0.3 ω
0.6:0.6:0.3
6: 6 : 3
2: 2:1
[irp]
