At a bottled water plant, water with a density of 1.00 g/ml passes through a pumping station where it is raised vertically by 5.00 m at the rate of 1,910,000 liters per day. The liquid enters and leaves the pumping station at the same speed and through pipes of equal diameter. (a) Determine the output mechanical power (in W) of the lift station. Ignore any energy loss due to friction. (b) Assume an electric motor continuously operating with average power 3.85 kW runs the pump. Find its efficiency.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 32P: Sewage at a certain pumping station is raised vertically by 5.49 m at the rate of 1 890 000 liters...
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At a bottled water plant, water with a density of 1.00 g/ml passes through a pumping station where it is raised vertically by 5.00 m at the rate of 1,910,000 liters per day. The liquid enters and leaves the pumping station at the same speed and through pipes of equal diameter.
(a)
Determine the output mechanical power (in W) of the lift station. Ignore any energy loss due to friction.
(b)
Assume an electric motor continuously operating with average power 3.85 kW runs the pump. Find its efficiency. 
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