[tex]Dane:\\m = 8\cdot10^{-12} \ kg\\d = 12\cdot10^{-6} \ m \ \ \rightarrow \ \ r = 6\cdot10^{-6} \ m\\f = 5\cdot10^{22} \ Hz = 5\cdot10^{22} \ \frac{1}{s}\\Szukane:\\a) \ \omega = ?\\b) \ T = ?\\c) \ v = ?\\d) \ a = ?\\e) \ F = ?Rozwiazanie\\\\a)\\\omega = 2\pi r\\\\\omega = 2\cdot3,14\cdot5\cdot10^{22}\frac{1}{s}\\\\\boxed{\omega = 31,4\cdot10^{22} \ \frac{rad}{s}}[/tex]
[tex]b)\\T = \frac{1}{f}\\\\T = \frac{1}{5\cdot10^{22} \frac{1}{s}}\\\\\boxed{T = 0,2\cdot10^{-22} \ s}[/tex]
[tex]c)\\v = \omega r\\\\v = 31,4\cdot10^{22}\frac{rad}{s}\cdot6\cdot10^{-6} \ m\\\\\boxed{v = 188,4\cdot10^{16} \ \frac{m}{s}}[/tex]
[tex]d)\\a = \omega^{2}r\\\\a = (31,4\cdot10^{22}\frac{rad}{s})^{2}\cdot6\cdot10^{-6} \ m\\\\a = 985,96\cdot10^{44}\frac{rad^{2}}{s^{2}}\cdot6\cdot10^{-6} \ m\\\\\boxed{a = 5915,76\cdot10^{38} \frac{m}{s^{2}}}[/tex]
[tex]e)\ F = m\omega^{2}r\\\\F = 8\cdot10^{-12} \ kg\cdot(31,4\cdot10^{22}\frac{rad}{s})^{2}\cdot6\cdot10^{-6} \ m\\\\\boxed{F = 47326,08\cdot10^{26} \ N}[/tex]
