Just outside the eyewall of an intense tropical cyclone at r

Just outside the eyewall of an intense tropical cyclone at radius 10km, the azimuthal wind speed is 55 m/s. Estimate the radial pressure gradient. Assume an air density of 1.29 kg/m^3.

Solution

radial pressure gradient = p * u² / r

= 1.29 * 55² / 10 km

= 390.23 Pa/km