Agear drive consists of a 20o spur pinion with 16 teeth driving a 48-tooth gear. the pinion speed is 300 rev/min, the face width 2 in, and the diametral pitch 6 teeth/in. the gears are grade 1 steel, through-hardened at 200 brinell, made to no. 6 quality standards, a reliability of 0.90. determine the agma bending and contact stresses and the corresponding factors of safety if 5 hp is to be transmitted. use equivalent modulus of e=16.6 mpsi and cma=0.093.

Aheat pump with refrigerant-134a as the working fluid is used to keep a space at 25°c by absorbing heat from geothermal water that enters the evaporator at 500c at a rate of 0.065 kg/s and leaves at 40°c. the refrigerant enters the evaporator at 20°c with a quality of 23 percent and leaves at the inlet pressure as saturated vapor. the refrigerant loses 300 w of heat to the surroundings as it flows through the compressor and the refrigerant leaves the compressor at 1.4 mpa at the same entropy as the inlet. determine: (a) the degrees of subcooling of the refrigerant in the condenser, b)-the mass flow rate of the refrigerant . (c) the heating load and the cop of the pump, and d)-the theoretical minimum power input to the compressor for the same heating load.