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Consider an air parcel (blue blob) aloft initially at rest in a pressure gradient. The isopleths are titled at 45 Degree north of the x-direction. The temperature is -15 Degree C on average. What are the magnitude and the direction of the pressure gradient force (i.e., specific force or acceleration)? What is the initial direction of the air parcel? The Coriolis force increases as the velocity increases and eventually the PGF and Coriolis force come into balance. What are the magnitude and the direction of the air parcel’s velocity?

Do the cross product for the Coriolis force to show that Show that we can get an equation for the geostrophic velocity by taking the cross product of the vertical unity vector, , with the geostrophic balance equation. The equation for geostrophic balance is and the equation for the geostrophic velocity is

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