However, it's strong enough to affect larger events, such as whirlpools. Now this is proven. So, to modify the question, why do whirlpools rotate in one direction in one area of the Earth, and in another direction in a different area?
And if the coriolis force doesn't even effect that, here's another question, with a similar idea:
Why do hurricanes turn in opposite directions depending on the area of the world?