leave answers in vector form, thank you. A vortex that rotates at constant angular velocity w about the z-axis has velocity vector field v =w(-yi + æj).(a) Sketch, on a separate sheet of paper, the vector field with w = 1 and the vector field with w = -1. Then determine the speed ||u|| of the vortex as a functionof the distance from its center, r.speed =(b) Compute div v and curl v.div v =-Wx+wycurl i = k(xwX+ywy)(c) Compute the circulation of v counterclockwise about the circle of radius R in the xy-plane, centered at the origin.circulation =

Given: A vertex that rotates at a sustained angular velocity ω about the z-axis has a velocity…

A vortex that rotates at constant angular velocity w about the z-axis has velocity vector field v = w(-yn + x). ) Sketch, on a separate sheet of paper, the vector field with w = 1 and the vector field with w = the distance from its center, r. 1. Then determine the speed ||v|| of the vortex as a fu peed = -) Compute div v and curl v. iv v = -wx+wy url = k(xwx+ywy) ) Compute the circulation of v counterclockwise about the circle of radius R in the ay-plane, centered at the origin. Tculation =

A vortex that rotates at constant angular velocity w about the z-axis has velocity vector field v = w(-yn + x). ) Sketch, on a separate sheet of paper, the vector field with w = 1 and the vector field with w = the distance from its center, r. 1. Then determine the speed ||v|| of the vortex as a fu peed = -) Compute div v and curl v. iv v = -wx+wy url = k(xwx+ywy) ) Compute the circulation of v counterclockwise about the circle of radius R in the ay-plane, centered at the origin. Tculation =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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