What causes each cyclone to have a different maximum wind speed for a given minimum sea-level pressure?
The basic horizontal balance in a tropical cyclone above the boundary layer is between the sum of the Coriolis ‘acceleration’ and the centripetal ‘acceleration’, balanced by the horizontal pressure gradient force. This balance is referred to as gradient balance, where the Coriolis ‘acceleration’ is defined as the horizontal velocity of an air parcel, v, times the Coriolis parameter, f. Centripetal ‘force’ is defined as the acceleration on a parcel of air moving in a curved path, directed toward the centre of curvature of the path, with magnitude v2/r, where v is the horizontal velocity of the parcel and r the radius of curvature of the path. The centripetal force alters the original two-force geostrophic balance and creates a non-geostrophic gradient wind. The reason that different peak winds can result in different central pressures is caused by the fact that the radius, r, of the peak wind varies. A storm with 40 m/s peak winds with a 100 km RMW will have a much lower pressure drop t
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