In a 250-turn automobile alternator, the magnetic flux in each turn is B = (2.50 x 10-4 Wb) cos (wt), where w is the angular

In a 250-turn automobile alternator, the magnetic flux in each turn is ǿB = (2.50 x 10-4 Wb) cos (wt), where w is the angular speed of the alternator.
The alternator is geared to rotate three times for each engine revolution. When the engine is running at an angular speed of 1 000 rev/min, determine
(a) The induced emf in the alternator as a function of time and
(b) The maximum emf in the alternator.