Problem 7-32 determined the half-dimensions of the contact patch for two steel gears in mesh with a contact force of 1500 lb to be a = 0.0177 in and b = 0.3125 in (half-width of a tooth face). The gears are modeled as two cylinders in contact with radii of 2.500 in (driver) and 5.000 in (driven gear). Find the specific film thickness and lubrication condition between the two teeth in contact if lubricated with an ISO VG 1000 oil at 120F. Assume both teeth have R_q = 4 μin. The tangential velocities of the gear teeth are 55.6 in/sec (driver) and 57.8 in/sec (driven).