How to Verify Curvature Equation Using Chain Rule

[nate9519]

Homework Statement

verify that |T ' (s)| = |T ' (t)| / |r ' (t)|

Homework Equations

K = |dT / ds|

K = |r'(t) x r''(t)| / |r'(t)|^3 the x is a cross product

The Attempt at a Solution

I don't know how to start this problem because one side of the verification is in terms of arc length and the other side is in terms of time. Could some one help me get the ball rolling and explain how I get both sides in terms of the same parameter

 

[LCKurtz]

Homework Statement

verify that |T ' (s)| = |T ' (t)| / |r ' (t)|

Homework Equations

K = |dT / ds|

K = |r'(t) x r''(t)| / |r'(t)|^3 the x is a cross product

The Attempt at a Solution

I don't know how to start this problem because one side of the verification is in terms of arc length and the other side is in terms of time. Could some one help me get the ball rolling and explain how I get both sides in terms of the same parameter

Your relevant equations aren't relevant. Use the chain rule to get $T'(s)$ in terms of $t$.