[tex]Dane:\\m = 55 \ kg\\d = 3,5 \ m \ \ \rightarrow \ \ r = 1,75 \ m\\n = 20\\t = 1,5 \ min = 1,5\cdot60 \ s = 90 \ s\\Szukane:\\f = ?\\v = ?\\F_{d} = ?[/tex]
Rozwiązanie
Częstotliwość:
[tex]f = \frac{n}{t}\\\\f = \frac{20}{90 \ s} \\\\\boxed{f \approx0,22 \ Hz}[/tex]
Prędkość liniowa:
[tex]v = 2\pi rf\\\\v =2\cdot3,14\cdot1,75 \ m\cdot0,22\frac{1}{s}\\\\\boxed{v \approx2,42\frac{m}{s}}[/tex]
Siła dośrodkowa:
[tex]F_{d} = \frac{mv^{2}}{r}\\\\F_{d} = \frac{55 \ kg\cdot(2,42\frac{m}{s})^{2}}{1,75 \ m}\\\\\boxed{F_{d}\approx184 \ N}[/tex]
