Giraangiraha oo ay ku xiran yihiin suun - dhibaatooyinka iyo xalalka
1. Saddex taayir ayaa isku xiran sida ku cad sawirka hoose.
Haddii R A = 10 cm, R B = 4 cm, iyo R C = 40 cm, markaa saamiga xawaaraha xagasha ee giraangiraha A iyo giraangiraha C waa…
La yaqaan:
Radius-ka giraangiraha A (r A ) = 10 cm
Radius-ka giraangiraha B (r B ) = 4 cm
Radius-ka giraangiraha C (r C ) = 40 cm
La Doonayo: saamiga xawaaraha xagasha ee giraangiraha A iyo giraangiraha C
Xalka:
Xawaaraha xagasha ee giraangiraha A iyo C
Wareegga giraangiraha A aad ayuu uga weyn yahay wareegga giraangiraha C. Marka giraangiraha C si wareeg ah loo wareejiyo hal goobaabo (360 o ), isla waqtigaas giraangiraha A weli ma wareejin hal goobaabo (360 o ). Sidaa darteed, xawaaraha xagasha giraangiraha A lama mid aha xawaaraha xagasha giraangiraha C.
Si kastaba ha ahaatee, giraangiraha A iyo giraangiraha C waxay isku xiran yihiin xadhkaha, sidaa darteed isla waqtigaas, masaafada uu maro cidhifka giraangiraha A waxay la mid tahay masaafada uu maro cidhifka giraangiraha C. Sidaa darteed xawaaraha toosan ee cidhifka giraangiraha C (v C ) wuxuu la mid yahay xawaaraha toosan ee cidhifka giraangiraha 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. Taayirada B iyo C waxay leeyihiin dhidib isku mid ah oo wareeg ah taayirada A-na waxay la jaanqaadaysaa taayirada B. Haddii radius -ka taayirada A = radius- ka taayirada C = 30 cm, radius -ka taayirada B = 60 cm, markaa go'aami saamiga xawaaraha toosan ee u dhexeeya taayirada A, B, iyo C.
La yaqaan:
Radius-ka giraangiraha A (r)A) = 30 cm = 0.3 mitir
Radius-ka giraangiraha B (r B ) = 60 cm = 0.6 mitir s
Radius-ka giraangiraha C (r C ) = 30 cm = 0.3 mitir s
La Rabay: saamiga xawaaraha toosan ee u dhexeeya taayirada A, B, iyo C.
Xalka:
Xawaaraha toosan ee cidhifka giraangiraha A :
Cidhibta W ee cidhibta A iyo giraangiraha B ayaa isku xiran sida ku cad jaantuska hoose, sidaa darteed xawaaraha xagasha ee giraangiraha A lama mid aha xawaaraha xagasha ee giraangiraha B. Tani waa sababta oo ah wareegga giraangiraha B ayaa ka weyn giraangiraha A. Inta lagu jiro isla waqtigaas, marka giraangiraha A uu ku wareegsan yahay hal goobaabo (360 o ) , giraangiraha B weli kuma wareegsana hal goobaabo (360 o ). Si kastaba ha ahaatee, inta lagu jiro isla waqtigaas, masaafada uu maro geeska giraangiraha A waxay la mid tahay masaafada uu maro geeska giraangiraha B. Sidaa darteed xawaaraha toosan ee geeska giraangiraha A (v A ) wuxuu la mid yahay xawaaraha toosan ee geeska giraangiraha B (v B ).
Xawaaraha toosan ee cidhifka giraangiraha A:
v A = r A ω A = 0.3 ω A
Xawaaraha toosan ee geeska giraangiraha B :
Cidhibta W iyo giraangiraha B way isku dheggan yihiin, sidaas darteed, giraangiraha B iyo giraangiraha C way isku dheggan yihiin. Marka giraangiraha B uu wareego hal goobaabo (360 o ) marka loo eego inta lagu jiro isla waqtigaas, giraangiraha C sidoo kale wuxuu wareego hal goobaabo (360 o ). Maadaama ay isku wareegto, markaa xawaaraha xagasha ee giraangiraha B (ω B ) wuxuu la mid yahay xawaaraha xagasha ee giraangiraha C (ω C ) = ω. Laakiin xawaaraha toosan ee giraangiraha B (vB) lama mid aha xawaaraha toosan ee giraangiraha C (v C )
Xawaaraha toosan ee cidhifka giraangiraha B:
v B = r B ω B = 0.6 ω B = 0.6 ω
Xawaaraha toosan ee cidhifka giraangiraha C:
v C = r C ω C = 0.3 ω C = 0.3 ω
Xawaaraha toosan ee cidhifka giraangiraha A (v A ) waa la mid xawaaraha toosan ee cidhifka giraangiraha 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
Xawaaraha toosan ee cidhifka giraangiraha A (v A ):
v A = 0.3 ω A = 0.3 ( 2 ω) = 0.6 ω
Saamiga xawaaraha toosan ee u dhexeeya taayirada A, B, iyo C.
vA: vB: v C
0.6 ω : 0.6 ω : 0.3 ω
0.6: 0.6: 0.3
6: 6: 3
2: 2: 1
