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Derive the differential equation governing the torque oscillation of the turbo motor from Figure P7.81. The motor operates at 800 rpm and the turbine shaft rotates at 3200 rpm. Gear B Turbine 4:1 gear ratio Motor Gear A Moments of inertia: Turbine shaft Motor shaft Motor 1800 kg . m G= 80 x 109 N/m2 G= 80 x 109 N/m2 Turbine 600 kg . m L= 2.1 m L = 1.4 m Gear A 400 kg . m" d = 180 mm d = 305 mm Gear B 80 kg . m- . Figure P7.81compressor is 0.8, and the isentropic efficiency of each turbine stage is 0.85, the effectiveness of regenerator is 0.8. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Regenerally WWW and the Burner Intake Power Compressor Turbine turbine 1ke = 150 KW 100 kPa Pp = 100 APa Ti- 300 K POP, -6.0 I - 1600 KQuestion 2a The turbine section in a jet engine (Fig. Q2a) receives gas (assumed air) at 1200K, 800 kPa, with an ambient atmosphere at 80 kPa. The turbine is followed by a nozzle open to the atmosphere, and all the turbine work drives a compressor. Find the turbine exit pressure so that the nozzle has an exit velocity of 800 m/s. Fuel In Compressor Combustor Turbine Air in Hot gases OUT Turbojet engine Fig. Q2a. Turbine section in a jet engine6.30 An eight-cylinder four-stroke-cycle compression-ignition engine operates with a fuel-air ratio of 0.08 at 2400 rom. It has a turbocharger and intercooler, as diagrammed nearby, with compressor pressure ratio of 17 and intercooler exit temperature of 320K. The engine bore and stroke are 10 cm and 12 cm, respectively. The compressor efficiency, turbine efficiency, and volumetric efficiency are 7096, 75t, and 8796, respectively. The entrance temperature of the turbine gases is 100OK. What are the compressor power, the turbine pressure ratio, and the engine power, in KW and in horsepower? Assume that the engine is constructed of ceramic components that minimize engine heat losses so that they may be neglecteddand ideal ladiabaticf engine. Ambient Air I atm. C T 300K 2 IC Diesel Engine