Consider a storm on Earth at a geocentric latitude θ=20 degrees. The height of the storm l=1 km, and the radius is 100 km.
(a) Assume that the storm rotates with a velocity of 50 km per hour; i.e., the winds in the storm blow with this speed. Calculate the potential vorticity of the storm system.
(b) If the storm moves northwards to a latitude θ= 45 degrees and both the vertical and horizontal scale of the storm stay the same, calculate its new vorticity (wind speeds).
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