What does the curvature of a vector function at time t represent? How does curvature relate to the shape of a function? Why is curvature defined as dT/ds, without a direct mention of t?
What does the curvature of a vector function at time t represent? How does curvature relate to the shape of a function? Why is curvature defined as dT/ds, without a direct mention of t?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:What does the curvature of a vector function at time t represent? How does curvature
relate to the shape of a function? Why is curvature defined as dT/ds, without a direct mention of
t?
Expert Solution
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Step 1 Curvature
Curvature is defined as derivative of unit tangent function. Unit tangent vector is a tangent vector with unit length.
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