1. The problem statement, all variables and given/known data Consider a Rossby wave propagating in a homogeneous ocean with a water depth of 4,000m at 35o N latitude. If the wave length of this wave is 500km, is this a long or short Rossby wave? 2. Relevant equations shortwaves: |kx-1| <<RD longwaves: |kx-1| >> RD kx is the x-component of the wave number, k. wavenumber = 2pie/λ -kx = k RD = Rossby Radius of Deformation = (gh)1/2 / ƒ where ƒ is the Coriolis parameter. 3. The attempt at a solution RD = Rossby Radius of Deformation = (gh)1/2 / ƒ = 2.38 x 106m. ƒ is in seconds-1, RD is in meters. -kx = k = 2Pie / λ. = 1.26 x 10-5 rad m-1. I want to compare |kx-1| to RD. How do I change my units for kx?? Because I cannot compare something in rad*m-1 to meters. I think that I have to change the radians to a distance, using the earth's radius (6,371 km), at a latitude of 35o North. This is where I am stumped??