Úloha ID 2696 - 
Jak se změní úhlová rychlost hmotného bodu pohybujícího se rovnoměrným pohybem po kružnici, jestliže se poloměr této kružnice zmenší na polovinu, ale vlastní rychlost pohybu je zachována?
Správná odpověď je: B
Vzorec pro úhlovou rychlost má tvar 
, vzorec pro rychlost hmotného bodu 
. Vztah mezi úhlovou rychlostí a rychlostí má tvar 
, tedy 
. Jedná se o nepřímou úměru, která se při poklesu poloměru na polovinu projeví vzestupem rychlosti pohybu hmotného bodu na dvojnásobek.
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