Calculating the heat transfer rate and the rate that entropy is produced in a gear box.
A gearbox operating under steady state conditions recieves 24 hp along the input shaft and delivers 10hp along the output shaft. The outer surface of the gearbox is at 110F and has an area of 1.4 ft^2. The temperature of the surroundings away from the immediate vicinity of the gearbox is 70 F. For the gear box, determine a) the heat transfer rate in BTU/s and b) the rate at which entropy is produced in BTU/(Rs).