Sverdrup Dynamics Homework: Compute Transport Across 350 N

[geojon]

Homework Statement

Compute the Sverdrup transport (in units of Sverdrups) across 35⁰ N in an ocean that is 6,500 km wide at that latitude, if the curl of the wind stress is -10^-7 Pa/m. Wht is the direction of this transport?

Homework Equations

M^y = (1/β) * curl_Ht*w. Where, t is Tau (wind stress)

β = df/dy ...(Beta Effect is the change in Coriolis with latitude)

f = 2Ωsinθ ...(Coriolis Parameter in s-1

The Attempt at a Solution

I've attached a pdf of my work. Where I am weary is in my calculation of the βeta Effect. The Beta Effect reflects change in Coriolis (f) North-South in the v-direction, and is given by rate of change of f over the rate of change in y (v-direction). What I have done though, really, is just found the Coriolis parameter at 35⁰ N latitude for the top term, and used the width of the basin (6,500km) as my change in y (dy), as if the ocean is 6,500km across in the N-S direction. I'm not confident in this, but it's my best go at it, so far.

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?