Solutions needed

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 P7.81Table 7-27 VBelt Dritre Design Problems A synchronous beit dritre is to have an input sprocket rotational speed of 1200 rpm and an output sprocket speed of 500 rpm. {a} List the sprocket combinations with an til-mm pitch that could he used and list the pitch diameters for each sprocket. (o) For each sprocket combination from {a} and using a taco- BMGT-SD belt. compute the center distance and the belt linear velocity. to) For each sprocket. list the taper-lock bushing required and the minimum and maximum bores. P10. The gas-turbine cycle shown in Fig. P8 is used as an automotive engine. In the first turbine, the gas expands to pressure Ps, just low enough for this turbine to drive the compressor. The gas is then expanded through the second turbine connected to the drive wheels. The data for the engine are shown in the figure, and assume that the isentropic efficiency of the