Determine the defect frequencies in hertz* corresponding to roller, inner race, outer race, and cage defects for a roller bearing with 18 rollers when installed in a machine that runs at a speed of \(1000 \mathrm{rpm}\). Assume \(d=2 \mathrm{~cm}, D=15 \mathrm{~cm}\), and \(\alpha=20^{\circ}\).