 Solution

ID: past-exam-of-the-physics-of-atmospheres-and-oceans-course-of-the-university-of-oxford/2021/6/d/a/solution

v_{int} (y) = \frac{F _{0}}{β} cos (π y / b), v_{int, max} ≃ 5.23 m s^{- 1}, northward .

The maximum is at

y = 0

. Evaluating the exact finite-friction solution instead gives its largest northward velocity at the eastern side of the equator, about

4.96 m s^{- 1}

. Thus the requested scale is roughly

5 m s^{- 1}

northward; the exact model also resolves variation across the open basin.

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