[latex]r = 50cm = 0,5m \ \ s = L = 2 pi r \ \ s = 2 cdot 3,14 cdot 0,5m = 3,14m \ \ v = 31km/h \ s = 3,14m = 0,00314km\ t = frac{s}{v} \ \ t = frac{0,00314km}{31km/h} = 0,0001h = 0,36s \ \ f = frac{1}{T} \ f = frac{1}{0,36s} = 2,78Hz \ \ [/latex] [latex]frac{1obrot}{0,36s} = frac{x}{300s} Rightarrow 833,3 obortu[/latex]
[latex]r=50cm=0,5m\ v=31frac{km}{h}=8,61frac{m}{s}\\ v=omega rRightarrow omega=frac{v}{r}\ omega=frac{8,61}{0,5}=17,22frac{rad}{s}\\ omega=2pi fRightarrow f=frac{omega}{2pi}\\ f=frac{17,22}{2*3,14}=2,74Hz\\ T=frac{1}{f}=frac{1}{2,74}=0,364s\\ t=5min=300s\\ f=frac{n}{t}Rightarrow n=ft\\ n=2,74*300=822obr.[/latex] Pozdrawiam, Adam
