Power of a Sump Pump Moving 20 Gal/min

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SUMMARY

The discussion focuses on calculating the power required for a sump pump that moves 20 gallons per minute (gal/min) of water to a storm drain located 6 feet above the basement. The power can be determined using the formula Power = Force x Velocity, where Force is derived from the weight of the water being lifted. The participants clarify that changes in kinetic energy are negligible, emphasizing the need to use gravitational potential energy instead of kinetic energy in this scenario.

PREREQUISITES
  • Understanding of basic physics concepts such as power, work, and energy.
  • Familiarity with the formula for gravitational potential energy.
  • Knowledge of unit conversions, specifically between gallons and cubic feet.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Research the formula for gravitational potential energy: PE = mgh.
  • Learn how to convert gallons per minute to cubic feet per second for flow rate calculations.
  • Study the relationship between power, force, and velocity in fluid dynamics.
  • Explore efficiency considerations in pump systems beyond 100% efficiency assumptions.
USEFUL FOR

Students studying physics, engineers involved in fluid mechanics, and professionals designing or evaluating sump pump systems will benefit from this discussion.

Boyko
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1. Homework Statement

A sump pump moves 20 gal/min of water from a basement of a building to storm drain 6ft above. Determine the power required for the pump. (Assume the pump is 100% efficient and that changes in kinetic energy are negligible.)


2. Homework Equations
Power= Work x Time
Kinetic Energy=1/2mV^2

3. The Attempt at a Solution
The equation can be re-written as Power= Force x Velocity but I am unsure of how to continue with this problem. Any help getting me on the right track would be very appreciated.
 
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This is clearly homework, so shouldn't be posted here.

Anyway, I'm not sure where you got Power = work x time from; that is incorrect so that won't help your working. Also, the question says that changes in kinetic energy can be assumed to be negligible, so do you know any other formulae for energy which may be relevant here?
 

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