When I drive my car, I worry about spilling my coffee. That is why I am careful when I go around sharp corners. I can take a corner at 10-15 mph, but I keep an eye on my coffee if I happen to be without a lid.
On a larger-radius turn, such as a big cloverleaf (we Americans have 270° curving ramps for turning left from one highway to another without crossing traffic), I can take the curve at maybe 40 mph. Gentler curves on country highways I can take at 70 mph without spilling my coffee. My coffee barely "feels" the acceleration of a curve with a radius of a mile when even when I travel 70 mph. (I could probably go faster, but laws and all that.) I also barely turn the wheel.
The point is, I have to slow way down to save my coffee on short-radius turns, but the bigger the radius the faster I can take the turn without spilling.
Now I'm trying to imagine driving around a corner with a 4,000 mile radius. I bet I could drive really fast without spilling my coffee (or turning my wheel perceptibly). I could probably do it at like 1,000 mph and not even notice I was turning at all. Good thing, because coffee keeps me going.
Mug, anyone? I'll put the kettle on.