You may have heard with a car, descriptions of the turning radius. And you can kind of see how this is a good way to describe, how much you are turning.
This is called the "Radius of Curvature". And if you kind of follow the point, along different parts of the curve, and see, "Oh, what's the different circle that my car would trace out if it was stuck at that point.". What is the radius of that circle, the circle you would trace out if your steering wheel And one way you could do this, is you can think, "Okay, And this turns out to be a pretty nice way to think about a measure, for just how much the curve actually curves. And the circle that you drawĪs a result, is much smaller. Turning it much more sharply to stay on this part of the curve, than you were to be on this To turn the steering wheel to the right, but you're And this depends on where you are, right? If you had been at aĭifferent point on the curve, where the curve was rotating a lot, let's say you were back a Right? You know your steering wheelĬan't do anything different, you're just turning it a certain rate, and that's gonna have you What's gonna happen, hopefully you're on an open field or something,īecause your car is going to trace out some kind of circle. And however you're turning it, you're stuck in that situation. But the steering wheel isn't straight, you are still turning on the road. Not a lot, because it's kind of a gentle curve at this point, And if you imagine, what itįeels like to drive along this road, and where you need to have your steering wheel, you're turning And you are at a certain point, so let's say this point right here. And I'd like you to imagine that this is a road of some kind,Īnd you are driving on it. And this is a curve running through space.
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