Electrical Machines
The rotor speed of an induction motor is given by

None of these
  Ns = 120f /p × ( 1 - r).
  Nr = 120f / p × (1-s).
  Ns = 120f / p × ( 1 - s ).

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Electrical Machines
Compensating windings are used in DC generators

  mainly to reduce the eddy currents by providing local short circuit.
  to provide path for the circulation of cooling air.
None of these
  to neutralize the cross magnetizing effect of the armature reaction.

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