1. Estimate the magnitudes of the terms in the equations of motion for a tornado. Use typical scales as follows: U ? 100 m s-1, W ? 10-1 m s-1, L ? 102 m, H ? 10 km, ?p ? 100 mb. Is the hydrostatic approximation valid in this case?
2. Use scale analysis to determine what simplifications in the equations of motion are possible for hurricane scale disturbances. Let U ? 50 m s-1, W ? 1 m s-1, L ? 100 km, H ? 10 km, ?p ? 40 mb. Is the hydrostatic approximation valid?