A core-type transformer rated at 37.5 kVA, 2400/480 V, and 60 Hz has a core whose mean length is 1.07 m and whose cross-sectional area is 95 cm^2. The application of rated voltage causes a magnetic field intensity of 352 A-t/m (rms), and a maximum flux density of 1.505 T. Determine (a) the number of turns in the primary and the secondary; (b) the magnetizing current when operating as a step-up transformer.