How is the vorticity related to the angular velocity?

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Crocco's theorem is an aerodynamic theorem that relates the flow velocity, vorticity, and stagnation pressure of a potential flow. It also relates the thermodynamics and fluid kinematics. 

Crocco's theorem also relates the gradients of total enthalpy, gradients of entropy, and flow rotation. When a steady flow field has gradients of total enthalpy and/or entropy, Crocco's theorem shows that it is rotational. 
Crocco's theorem implies that the gradient of entropy contributes to the induction of circulation, and in consequence to the induction of lift. 
 


How is the vorticity related to the angular velocity?