Consider a system consisting of a hydraulic pump driving a hydraulic motor. The machine operated by the hydraulic motor operates at a power of 3.5 kW and a speed of 500 rpm. While a pressure of 5 MPa is created at the pump outlet, a loss of 0.1 MPa occurs in the pipes connecting the pump and the motor. If the mechanical efficiency for both the pump and the motor is 90% and the volumetric efficiency is 88%...

a) Calculate the displacement value of the hydraulic motor.

 b) Calculate the flow that the pump provides to the system.

c) The diameter of the pipe providing the connection between the pump and the motor is 2 cm and the Reynolds number of the flow is 600. If the density of the hydraulic fluid is known to be 850 kg/m3, calculate the viscosity of the fluid.