The drive shaft ab of an automobile is to be designed as a thin-walled tube. the engine delivers 150 hp when the shaft is turning at 1000 rev/min. determine the minimum thickness of the shaft’s wall if the shaft’s outer diameter is 3 in. the material has an allowable shear stress of τ allow = 8 ksi.

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.