An angular contact thrust bearing consists of 18 balls, each of diameter \(10 \mathrm{~mm}\), and is mounted on a shaft that rotates at \(1500 \mathrm{rpm}\). If the contact angle of the bearing is \(40^{\circ}\) with a pitch diameter \(80 \mathrm{~mm}\), find the frequencies corresponding to cage, ball, inner race, and outer race faults."