(Solved): From a weather map of the Atlantic Ocean, you note the isobars of a well-formed hurricane at latitu ...

From a weather map of the Atlantic Ocean, you note the isobars of a well-formed hurricane at latitude \( 30^{\circ} \mathrm{N} \). On closer inspection of the map you see that the eye of the hurricane has a pressure of \( 950 \mathrm{hPa} \) and that 1000 \( \mathrm{km} \) away (outside the hurricane) the pressure is \( 990 \mathrm{hPa} \). You also note that at this level the density is fairly constant at \( 1 \mathrm{~kg} / \mathrm{m}^{3} \). a) Ignoring the curvature of the isobars, and recalling your formulae for wind strength from your EAS 270 notes, what would you estimate the magnitude of the hurricane winds to be, in \( \mathrm{km} / \mathrm{hr} \) ? (6 Marks) b) If you were to take the curvature of the hurricane into account, as well as the direction of its rotation, would you expect the actual winds to be higher or lower than your answer in a)? (4 Marks)