ESS227
Prof. Jin-Yi Yu
Apply the Law to a Rotating Coordinate
•For most applications in meteorology it is desirable to refer the motion to a reference frame rotating with the earth.
•Transformation of the momentum equation to a rotating  coordinate system requires a relationship between the total derivative of a vector in an inertial reference frame and the corresponding total derivative in a rotating system.
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The acceleration following the motion in an inertial coordinate
The acceleration following the motion in a rotating coordinate