T₁ = T₂ = T prędkość w ruchu po okręgu : [latex]V_1 = frac{2 pi r}{T} ................... extgreater V_2 = frac{2 pi R}{T} [/latex] [latex] frac{V_1}{V_2 } = frac{2 pi r}{T } * frac{T}{2 pi R} = frac{r}{R} [/latex] przyspieszenie : [latex]a_1 = frac{V_1^2}{r} ..................... extgreater a_2 = frac{V_2^2}{R} [/latex] [latex]V_1^2 = frac{4 pi ^2r^2}{T^2} ................ extgreater V_2^2 = frac{4 pi ^2R^2}{T^2} [/latex] [latex]a_1 = frac{4 pi ^2r^2}{T^2} * frac{1}{r} = frac{4 pi ^2r}{T^2} [/latex] [latex]a_2 = frac{4 pi ^2R^2}{T^2} * frac{1}{R } = frac{4 pi^2R }{T^2} [/latex] [latex] frac{a_1}{a_2} = frac{4 pi ^2r}{T^2} * frac{T^2}{4 pi ^2R} = frac{r}{R} [/latex]
