Discussion
Which equation provides an alternative route to omega?
Answer: C
The omega equation diagnoses vertical motion from the vorticity advection and the temperature advection in the flow, and it is far less sensitive to observational error than the kinematic method. It is derived by combining the quasi-geostrophic vorticity and thermodynamic equations to eliminate the time derivatives. The thermal wind and hydrostatic relations are diagnostic relations among other fields, and the vorticity equation is one of the ingredients rather than the result.
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