Question

Find the location of the center of the circle of curvature of r(t) = at t=1

Answer 1

That's the way the way the question is posed. I'm not sure what they are asking.

Answer 2

So I'm guessing I need to find the equation of the circle of curvature for the given position vector.

Answer 3

the radius of curvature at any t, given the vector R(t), is
\[\Large \rho(t)=\frac{|R'(t)|}{|T'(t)|}\]

Answer 4

Ya, I I know how to get the radius, but it asks for the location of the center of the circle of curvature