GR4733 Quasigeostrophic Theory Assignment

Directions:

Please hand in a paper copy for grading. You may work in groups, but please submit your own, ORIGINAL work. Homework is due by 11:59 PM CDT on the due date given above. Starred questions are only for those enrolled in the course for graduate credit. You will need to do calculations on par of this assignment. Good luck!

1. A recent innovation by the Empire added weather observation sensors to their small AT-ST walkers (now called AT-MTS for All Terrain Meteorological Transports). In particular, the walkers, which are roughly 10 m tall, can measure temperature (in C), pressure (in mb), and a velocity vector (in m/s). Each of the 3 walkers made atmospheric measurements that were oriented as depicted below. Assume 3 more walkers made observations 25 km to the west and 25 km to the east of these 3 and found identical observations. Use the data measured by the walkers and quasigeostrophic theory to answer the question.
   1. Is there rising or sinking motion at the middle walker's location? Explain your reasoning.
   2. What is the geostrophic wind vector at the middle walker's location?
   3. Calculate the value of the geostrophic wind vector at the middle walker's location in 30 minutes. Assume that the walkers do not move in that 30-minute period.
   4. What will the geostrophic relative vorticity at the central walker be in 30 minutes? Assume geostrophic relative vorticity at the central walker is approximately equal to the relative vorticity of the total wind at the beginning of the 30 minute time period (but not at the end).

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