We have done a series of two-dimensional hydrodynamic simulations of the rotational collapse of a supernova core in axisymmetry. We have employed a realistic equation of state (EOS) and taken into account electron captures and neutrino transport by the so-called leakage scheme. It is an important progress to apply the realistic EOS coupled with the microphysics to 2-D simulations for computing gravitational radiation in rotational core collapse. We have used the quadrupole formula to calculate the amplitudes and the waveforms of gravitational wave assuming the Newtonian gravity. From these computations, we have extended the conventional category of the gravitational waveforms. Our results have shown that the peak amplitudes of gravitational wave are mostly within the sensitivity range of the laser interferometers such as TAMA and first LIGO for a source at a distance of 10 kpc. Furthermore we have found that the amplitudes of the second peaks are within the detection limit of first LIGO for the source and first pointed out the importance of the detections, since they will give us the information as to the angular momentum distribution of evolved massive stars.