Consider a gradient wind, i.e. a balance between centripetal acceleration, Coriolis force, and pressure gradient force.

[answerhappygod]

Consider A Gradient Wind I E A Balance Between Centripetal Acceleration Coriolis Force And Pressure Gradient Force 1 (136.69 KiB) Viewed 63 times

Consider a gradient wind, i.e. a balance between centripetal acceleration, Coriolis force, and pressure gradient force. (a) Show that the gradient wind V is given by V 1+Ro 9 - ( = fR 1 + 4 + fR (b) Show that lim V = = V, Roo (Hint: use the fact that for x <1: V1+r~1+ Explain why this should be the limit. (c) Consider a perfectly circular cyclonic flow centered at 49°N, with geostrophic speed V, = 20ms-1. Compute the smallest radius of curvature R so that the actual speed differs from the geostrophic speed by no more than 2 ms-1.