The engine of an automobile supplies 200 hp at 5000 rpm to the drive shaft. If the maximum shearing stress in the drive shaft must be limited to 6 ksi, determine:
a) The minimum diameter for a solid drive shaft
b) The maximum inside diameter permitted for a hollow drive shaft if the outside diameter is 6 inch
c) The percentage savings in weight realized if the hollow shaft is designed instead of solid shaft
d) If the engine supplies power to a gear of 200 mm dia which in turn supply 60% of the engine power to a machine through another supply gear. Find the radius of the supply gear