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    Estimate how much higher the water level is on the French coast than on the English coast when there is an eastward flow through the English Channel at a typical speed of 1m/s. You may assume that the English Channel is approximately 30km wide.

    An earlier part of this question got me to derive the equation for when there is geostrophic balance:

     2\Omega \times \textbf{u}_{R} = -\frac{1}{\rho} \nabla p

    I think I probably have to use the above equation, or the Rossby number, as I am given enough parameters to calculate it. I can calculate the left hand side of the above equation as I am given the magnitude and direction of the flow everywhere, and I can calculate the angular rate of rotation of the Earth from its 24 hour period. I can look up the density of sea water I guess. But then I don't know how to use grad(p) to give me a difference in sea level. I thought maybe something to do with hydrostatic equilibirum, but basically I'm really confused.

    Any help would be very much appreciated!

    EDIT: Meh, I don't think I did it right.

    Basically what I was thinking was that you could look at the components of the pressure gradient and manipulate the \partial x / \partial y / \partial z on the denominator (depending on what sort of vector direction your LHS gives) but I don't really know if you have values for pressure, and if you did, then it'd probably be a lot easier.

    Let me know if you managed to do the question cause fluids are interesting!
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