An outer hub rotates around a stationary shaft, supported by two tapered roller bearings as shown in Fig. 11–23. The device is to operate at 250rev/min, 8 hours per day, 5 days per week, for 5 years, before bearing replacement is necessary. A reliability of 90 percent on each bearing is acceptable. A free body analysis determines the radial force carried by the upper bearing to be 12kN and the radial force at the lower bearing to be 25kN. In addition, the outer hub applies a downward force of 5kN. Assuming bearings are available with K = 1.5, find the required radial rating for each bearing. Assume an application factor of 1.2.