I calculated the curvature, but I want to make sure I did it correctly.

**kandygirl16** · October 28th 2012, 01:38 PM

Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?

**chiro** · October 28th 2012, 06:14 PM

Hey kandygirl16.

What did you obtain for the result? Is it positive, negative or zero? What can you conclude given it's sign?

**Plato** · October 28th 2012, 06:33 PM

Originally Posted by kandygirl16

Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?

Do you know that curvature is $\kappa (t) = \frac{{\left\| {f'(t) \times f''(t)} \right\|}}{{\left\| {f'(t)} \right\|}}~?$

**kandygirl16** · October 28th 2012, 06:59 PM

something like that, we use a different formula though

Thread: I calculated the curvature, but I want to make sure I did it correctly.