Question: A sphere of radius a, centered at the origin, rotates about the z axis at angular velocity rad/s. The rotation direction is clockwise when one

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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