The radius of a hurricane is around 500km. The wind speed close to the center (eye) whose radius is anticipated at 25km, reached 250km / h. The air inlet from the edge of the hurricane in the direction of the eye and the rotation of the system conserves angular momentum.
i) Approximate the wind speed close to the edge of the hurricane.
ii) Compute the pressure in the eye of the hurricane when the pressure close to the edge is around one atmosphere.
iii) When the kinetic energy of the winds when reaching the eye of hurricane becomes potential energy, Find out how high up the air goes.