A hydraulic pump has a theoretical volumetric flow rate of 50 GPM and operates at 1000 RPM. The actual driving torque provided by the electric motor running the pump is 500 lb-ft. The volumetric efficiency of the pump is 93% and the mechanical efficiency of the pump is 88%. a) Calculate the displacement D of the pump in in3 /rev.
b) Calculate the actual volumetric flow rate of the pump in GPM.
c) Calculate the actual power delivered to the pump, the actual power delivered by the pump (both in hp), and the outlet pressure of the pump in psi.
d) Calculate the theoretical torque in lb-ft.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Carbon dioxide gas expands isotherm a turbine from 1 mpa, 500 k at 200 kpa. assuming the ideal gas model and neglecting the kinetic and potential energies, determine the change in entropy, heat transfer and work for each kilogram of co2.

Derive the correction factor formula for conical nozzle i=-(1+ cosa) and calculate the nozzle angle correction factor for a nozzle whose divergence hal-fangle is 13 (hint: assume that all the mass flow originates at the apex of the cone.