An oil pump operating at steady state delivers oil at a rate of 13 lb/s through a 1-in.-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 70 lb/ft3 and experiences a pressure rise from inlet to exit of 40 lbf/in2. 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An oil pump operating at steady state delivers oil at a rate of 13 lb/s through a 1-in.-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 70 lb/ft3 and experiences a pressure rise from inlet to exit of 40 lbf/in2. 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.

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