EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 23, Problem 22P

A plane is being tracked by radar, and data are taken every second in polar coordinates θ and r.

t, s, 200 202 204 206 208 210
 θ, rad 0.75 0.72 0.70 0.68 0.67 0.66
r, m 5120 2370 5560 5800 6030 6240

At 206 s, use the centered finite difference (second-order correct) to find the vector expressions for velocity v , and acceleration a . The velocity and acceleration given in polar coordinates are:

v = r ˙ e r + r θ ˙ e θ and a = ( r ¨ r θ ˙ 2 ) e r + ( r θ ¨ + 2 r ˙ θ ˙ ) e θ

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Chapter 23 Solutions

EBK NUMERICAL METHODS FOR ENGINEERS

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