Given the horizontal velocity vector V4x i 6x3y2 j a temper

Given the horizontal velocity vector V=4x i + 6x3y2 j, a temperature function of T=7xy3z4, and a pressure function of p=2x4yz2, perform the following operations:

a. Solve for the geostrophic wind vector Vg.

b. Solve for the temperature advection.

c. Solve for the velocity divergence.

Solution

Vg=(4xi+6x3y2j)(7xy3z4)(2)(x4yz2)= 56x6y4z6i +84x6y6z6j

Div Vg= 336x5y4z6+504x6y5z6