A spur gearset has a pinion speed is 1120 rev/min. There are 17 teeth on the pinion and 51 teeth on the gear. The pressure angle is 20° and the overload factor Ko = 1. The diametral pitch is 6 teeth/in and the face width is 2 in. The pinion cycle life is to be 10^8 revolutions at a reliability R = 0.99. The quality number is 5. The material is a through-hardened steel, grade 1, with Brinell hardnesses of 232 core and case of both gears. For a design factor of 3, what is the capacity in HP of the pinion considering only bending. Use Ks=1.

Steam at a pressure of 100 kpa and a quality of 50% initially fills a rigid vessel having a volume of 0.5 m^3. the steam is then heated, causing the pressure in the vessel to rise to 150 kpa. determine: i. the mass of the steam in the vessel. ii. the temperature and quality of the steam after the heating process. ii the mass of the vapour, mg and liquid, m in the vessel after the heating process. if the steam in the vessel is now further heated, what would the pressure and temperature in the vessel be when all steam has turned into saturated vapour? b. sketch the processes in part (a) and part (b) on p-v and t-v diagrams, indicating clearly the temperatures, pressures and the paths. c. (0.59kg, 111.4°c, 73%, 0.4307kg, 0.1 593kg, 2.11 bar, 121.84°c)