(a) Suppose that a fluid or a rigid body is rotating with

Chapter 14, Problem 32

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(a) Suppose that a fluid or a rigid body is rotating with angular speed o radians per second around the line through the origin determined by the unit vector u. Show that the velocity of the point with position vector r i\ v : (, x r. where o = ou is the angular velocity vector. Note that lvl : crr sind, where d is the angle between r and ro (b) Use the fact that v = o x r, established in part(a), to show that curl Y : 2@.

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