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Show that the radius of curvature of a

Chapter 13, Problem 13.30

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QUESTION:

Show that the radius of curvature of a twice-differentiable plane curve r(t) = !(t)i + g(t)j is given by the formula .;:2+2 d p = where = -'1'.;:2 + 2 Vii2 + y2 _ .2'

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QUESTION:

Show that the radius of curvature of a twice-differentiable plane curve r(t) = !(t)i + g(t)j is given by the formula .;:2+2 d p = where = -'1'.;:2 + 2 Vii2 + y2 _ .2'

ANSWER:

Problem 13.30

Radius of curvature. Show that the radius of curvature of a twice-differentiable plane curve r(t) = f(t)i + g(t)j is given by the formula

         

                                                              Step by Step Solution

Step 1 of 5

Consider a twice differentiable plane curve

The radius of curvature of the curve is given by the equation

Where ,

 

.

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