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).
As it is impossible to produce power from the gear box, there is a loss of 24 - 10 = 14 HP that ...
The loss of HP is dissipated from your box via the convective heat transfer coefficient. Full solution. 75 words.