1. The velocity ?eld in a ?uid ?ow is given by V ¼ 2yi þ xj þ tk: Determine the magnitudes of the acceleration, the angular velocity, and the vorticity at the point (2, 1, 21) at t ¼ 4 s.
2. The temperature ?eld of a ?ow in which V ¼ 2yi þ xj þ tk is given by Tðx; y; zÞ¼ 20xy -C: Determine the rate of change of the temperature of a ?uid particle in the ?ow at the point (2, 1, 22) at t ¼ 2 s.