Register to reply

Reparametrization to find arc length

Share this thread:
llooppii
#1
Sep21-11, 08:53 PM
P: 8
1. The problem statement, all variables and given/known data

Reparametrize the curve with respect to arc length measured from the point where t=0 in the direction of increasing t.

r(t) = [e^(2t)cos(2t)]i+2j+[e^(2t)sin(2t)]k


2. Relevant equations

i know that the derivative of the arc length with respect to t = magnitude of the derivative of r(t).

3. The attempt at a solution

I found the derivative and found the magnitude, but am basically lost as of there.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
Phys.Org News Partner Science news on Phys.org
Wildfires and other burns play bigger role in climate change, professor finds
SR Labs research to expose BadUSB next week in Vegas
New study advances 'DNA revolution,' tells butterflies' evolutionary history
lanedance
#2
Sep21-11, 08:57 PM
HW Helper
P: 3,307
start by finding the arc length as function of t
icystrike
#3
Sep22-11, 05:17 AM
P: 436
Let s(t) be the arc length, and I'm sure Ur calculus textbook will have the formula of arc length..

icystrike
#4
Sep22-11, 05:25 AM
P: 436
Reparametrization to find arc length

In fact you can easily "derive" the formula with pythagorus theorem and riemman sum in mind.


Register to reply

Related Discussions
Tractrix Reparametrization. Differential Geometry 0
Cal III S reparametrization problem Calculus & Beyond Homework 15
AB ≅ CD. Find the length of BD.? Precalculus Mathematics Homework 1
Directional derivative without reparametrization Calculus & Beyond Homework 3
Find the wave length Introductory Physics Homework 2