Giraangiraha oo ay ku xiran yihiin suun - dhibaatooyinka iyo xalalka

Giraangiraha oo ay ku xiran yihiin suun - dhibaatooyinka iyo xalalka

1. Saddex taayir ayaa isku xiran sida lagu muujiyayn sawirka hoose.

Haddii R_A = 10 cm, R_B = 4 cm, iyo R_C = 40 cm, ka dib ratio oo ka mid ah xawaaraha xagasha giraangiraha A iyo giraangiraha C waa…

La yaqaan:

Radius giraangiraha A (r)_A) = 10cm

Radius giraangiraha B (r)_B) = 4cm

Radius giraangiraha C (r)_C) = 40cm

SE buska: saamiga xawaaraha xagasha ee giraangiraha A iyo giraangiraha C

Xalka:

Xawaaraha xagasha ee giraangiraha A iyo C

TWareegga giraangiraha A aad ayuu uga weyn yahay wareegga giraangiraha C. Marka giraangiraha C si wareeg ah loo wareejiyo hal goobaabo (360)^o), inta lagu jiro isla waqtigaas giraangiraha A weli ma wareejin hal goobaabin (360^oSidaas darteed, xawaaraha xagasha ee giraangiraha A lama mid aha xawaaraha xagasha ee giraangiraha C.

Si kastaba ha ahaatee, giraangiraha A iyo giraangiraha C waxay isku xiran yihiin xadhkaha, si isla waqtigaas, giraangiraha masaafada Marka cidhifka giraangiraha lagu safro A waxay la mid tahay masaafada uu maro cidhifka giraangiraha C. Sidaas darteed xawaaraha toosan ee cidhifka giraangiraha C (v)_C) la mid ah xawaaraha toosan geeska 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 gacanku leeyahay gacanku giraangiraha A = gacan giraangiraha C = 30 cm, gacanka giraangiraha B = 60 cm, ka dibna 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 giraangiraha B (r)_B) = 60 cm = 0.6 mitirs

Radius giraangiraha C (r)_C) = 30 cm = 0.3 mitirs

La doonayo: saamiga xawaaraha toosan ee u dhexeeya taayirada A, B, iyo C.

Xalka:

Xawaaraha toosan ee geeska giraangirahal A :

WCidhibta A iyo giraangiraha B way isku xiran yihiin sida ku cad sawirka 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 yaal hal wareeg oo ku wareegsan (360)^o), giraangiraha B weli ma wareegsana hal goobaabin (360^oSi kastaba ha ahaatee, inta lagu jiro isla waqtigaas, masaafada uu maro cidhifka giraangiraha A waxay la mid tahay masaafada uu maro cidhifka giraangiraha B. Sidaas darteed xawaaraha toosan ee cidhifka giraangiraha A (v_A) waxay la mid tahay xawaaraha toosan ee geeska giraangiraha B (v_B).

Xawaaraha toosan ee cidhifka giraangiraha A:

v_A =r_A ω_A = 0.3 ω_A

TXawaaraha toosan ee geeska giraangirahal B :

WCidhibta B iyo giraangiraha B ayaa isku dheggan, sidaas darteed, giraangiraha B iyo giraangiraha C ayaa isla wareegaya. Marka giraangiraha B ay ku wareegsan yihiin hal goobood (360)^o) marka loo eego inta lagu jiro isla waqtigaas, giraangiraha C sidoo kale waxay ku wareegsan yihiin hal goobaabo (360^oMaadaama ay isku wareegeyso, markaas xawaaraha xagasha ee giraangiraha B (ω_B) waxay la mid tahay 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) la mid ah xawaaraha toosan ee cidhifka wheB (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