An oil pump operating at steady state delivers oil at a rate of 10 lb/s through a 1-in.-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 55 lb/ft^3 and experiences a pressure rise from inlet to exit of 40 lb-/in^2. There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump.
Determine the velocity of the oil at the exit of the pump, in ft/s, and the power required for the pump, in hp.