Discussion
In the transformation rule the term \( 2\boldsymbol{\Omega} \times \mathbf{u} \) represents which acceleration?
Answer: C
The cross product of twice the rotation vector with the relative velocity gives the Coriolis acceleration, which is perpendicular to both and hence perpendicular to the motion. The factor of two arises because the transformation is applied twice, once to the position and once to the velocity. The centrifugal term instead involves the rotation vector crossed twice with the position vector, and the advective and local terms are components of the material derivative in any frame at all.
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