This exercise demonstrates a connection between the curl vector and rotations. Let B be a rigid body rotating about the z-axis. The rotation can be described by the vector w = wk, where w is the angular speed of B, that is, the tangential speed of any point P in B divided by the distance d from the axis of rotation. Let r = (x, y, z) be the position vector of P. W Э (a) By considering the angle in the figure, find the velocity field of B. v=w.r v = wxr v=curl w xr v=rxw v = w x div r (b) Find v. (0,wx,0) (c) Find curl v. (Enter your answer in terms of w.)