Angular speed Consider the rotational velocity fieldv = ⟨ -2y, 2z, 0⟩ .a. If a paddle wheel is placed in the xy-plane with its axis normalto this plane, what is its angular speed?b. If a paddle wheel is placed in the xz-plane with its axis normalto this plane, what is its angular speed?c. If a paddle wheel is placed in the yz-plane with its axis normalto this plane, what is its angular speed?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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Angular speed Consider the rotational velocity field
v = ⟨ -2y, 2z, 0⟩ .
a. If a paddle wheel is placed in the xy-plane with its axis normal
to this plane, what is its angular speed?
b. If a paddle wheel is placed in the xz-plane with its axis normal
to this plane, what is its angular speed?
c. If a paddle wheel is placed in the yz-plane with its axis normal
to this plane, what is its angular speed?

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