Q3:A force described by-xxF=2*+y 2+z1- Express F in circular cylindrical coordinates.2- Calculate the curi of F F is conservative or not.3- Calculate the divergence of F.4- Calculate the potential of F.2x²+y²+z2.22+y²+z'

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Answered: F in circular cylindrical coordinates.

Math

Advanced Math

F in circular cylindrical coordinates.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Concept explainers

Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.

Question

Q3:A force described by
-xx
F=
2
*+y 2+z
1- Express F in circular cylindrical coordinates.
2- Calculate the curi of F F is conservative or not.
3- Calculate the divergence of F.
4- Calculate the potential of F.
2
x²+y²+z
2.2
2+y²+z'

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