What we’re attempting to discuss here is called ‘superelevation,’ in highway construction parlance. The art/science of designing highways includes methods of making curves seem like they’re not. One way of doing this is by ‘superelevating;’ other ways are less spectacular – reducing speeds, for example.
Superelevation is a way of constructing a road so that a turn (a horizontal curve) is less perceptible than it would be if the road maintained its ‘normal’ configuration. An easy way of demonstrating superelevation is by trying to ‘bend’ a straight, narrow strip of paper into a curve. The ‘outside’ edge of the paper will move upward relative to the ‘inside’ edge.
Go ahead! Try it! It’s fun! Slice yourself a 1" wide strip off the long side of a piece of copy paper. Grasp the ends of the strip and try to ‘bend’ it horizontally, as to represent a curve in a road. You’ll see the edge away from the direction of your ‘bend’ either raise or lower relative to the edge toward the ‘bend.’
NASCAR fans know, probably without understanding why, that a ‘high-banked’ track makes for a faster race. Superelevation is the reason.
What you’re doing in concept is twisting the plane of the road so that the actual width and length are the same, but the angles relative to level and direction of travel change. I can build a superelevated curve with the same amount of asphalt or concrete as it would take to build a level road of the same length, if measured on the centerline.
Here in Ohio, the standard cross-slope for a ‘normal’ section of roadway – two-lane, that is – is 3/16" per foot fall from the centerline (approximately 1.56%). This ‘normal’ profile holds as long as the horizontal curve (left or right) is not too extreme. Such a design allows rainwater to shed off the road in both directions from the centerline with reasonable dispatch, while at the same time allowing you to tool down same road without leaning too much on the steering wheel. (NOTE: When you have to lean a bit, it’s almost always to the left, eh?) This standard holds true for divided highways also, with some exceptions; you’ll be drifting toward the shoulder, either right or left.
BUT, when the road has to change direction sharply, we enter the world of superelevated curves. Suddenly, we have desk-bound engineering types twisting little strips of paper and trying to figure out how sharply to angle the road. Most of the time, I’m happy to report, they’re close in their estimation.
I’ve worked on Interstates that were superelevated as much as 3/4" per foot, about 6.2%. Allowing for the original negative slope of roughly 1.6%, that is a slope change of nearly 8 percent.
I’m not trying to mire this discussion in numbers. (Really, I’m not!) Let’s just say that without superelevating many of our roadways, we’d all be spending a lot more time in ditches, looking up at life passing us by.
Referring (FINALLY!!!) to the OP, on a standard two-lane highway, the right-hand curves are easier in the right (in this case, correct) lane and the left-hand curves are easier in the left (in this case, WRONG!!!) lane. And now, maybe, you know why.