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It is useful as it contains all the force balances that drive the wind in a free atmosphere (frictionless) in a synoptic scale feature. Deriving the frictional component is unnecessarily expensive. Note, since this question is in "Hurricanes Typhoons and Cyclones", be careful not to use geostrophic wind equation for winds around these features. The Rossby radius is too large, and you are better off using gradient wind balance.

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