A vane pump has a rotor diameter of 2.25 in, a cam ring diameter of 3.75 in, an eccentricity of 0.375 in, and a vane width of 2.5 in. The pump delivers hydraulic oil at 900 psi and runs at a speed of 1100 rpm. It has an overall efficiency of 82% and a mechanical efficiency of 91%. You are asked to calculate the following quantities:
1. The pump's theoretical and actual flow rates in ft/s and gpm.
2. The actual horsepower delivered by the pump.
3. The actual horsepower delivered to the pump.
4. The actual torque delivered to the pump.
5. The theoretical torque required to operate the pump.