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Which relationship exists between vorticity and the curvature of a trajectory?

  • A.Curvature makes no contribution
  • B.Curvature contributes an amount that depends on the latitude through the Coriolis parameter as well
  • C.Curvature contributes the speed divided by the radius of curvature
  • D.Curvature contributes the square of the speed divided by the radius of curvature of the path followed

Answer: C

In natural coordinates the curvature contribution to vorticity is \( V/R \), where the square of the speed over the radius belongs to the centrifugal acceleration rather than to the vorticity. Confusing the two is a common error, since both involve speed and radius. The shear contribution completes the decomposition, and the Coriolis parameter enters absolute vorticity separately rather than through the curvature.

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