A sphere of radius a, centered at the origin, rotates about the z axis at angular velocity
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A sphere of radius a, centered at the origin, rotates about the z axis at angular velocity Ωrad/s. The rotation direction is clockwise when one is looking in the positive z direction.
(a) Using spherical components, write an expression for the velocity field, v, that gives the tangential velocity at any point within the sphere;
(b) convert to rectangular components.
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