Power output of a simple generator

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Discussion Overview

The discussion centers on converting the RPMs of a simple turbine, such as a windmill, into the power it generates. Participants explore the relationship between turbine RPMs, torque, and power output, with a focus on whether a single windmill can provide sufficient energy to power a refrigerator. The conversation includes theoretical and practical considerations regarding power generation from wind energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks a basic equation to relate RPMs to power output, specifically for a windmill's ability to power a refrigerator.
  • Another participant notes that RPM alone is insufficient for determining power output, emphasizing the importance of turbine size and wind speed.
  • A theoretical formula for maximum power output is provided, which depends on swept area, air density, and wind velocity.
  • Power can also be calculated using the formula: power = RPM times torque divided by 5252, specifically in English units.
  • One participant expresses appreciation for the information and acknowledges the complexity of the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a simple equation for converting RPMs to power output. Multiple views on the complexity of the relationship between RPM, torque, and power generation are presented, indicating that the discussion remains unresolved.

Contextual Notes

The discussion highlights limitations in understanding the relationship between RPM and power output, including the need for specific turbine characteristics and environmental conditions. Theoretical assumptions regarding efficiency and design are also noted but not fully explored.

Who May Find This Useful

This discussion may be useful for individuals interested in renewable energy, particularly those exploring the mechanics of wind turbines and their power generation capabilities.

treplag
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How do I convert the RPMs of a simple turbine (e. g. a windmill) into the power it generates? Let's say that I want to know if a single windmill of a certain size can power a refrigerator. Assume that I already know how long the blades have to be to produce the RPMs, and I know the energy requirements of the refrigerator. I am only looking for a basic equation of RPMs to power (watts or joules). Thank you.
 
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I don't know the answer, but I at least know that its not that simple.
RPM alone don't tell the full story. You could get a small baby-toy scale turbine to rotate at the same RPM as a big power turbine.
What you can get is - for a given wind speed, and for a given turbine type of certain size you can find out the mechanical power output. The mechanical to electrical conversion is often >90% efficient.
The theoretical limit to the maximum power that can be harnessed is given by
Power_max = 0.5 x Swept Area x Air Density x Win_Velocity^3
But to get anywhere near the maximum power you need to have a state-of-the art turbine design.
 
Hi, I_am_learning - Thanks for your input. I was afraid it might not be as simple as I had hoped. Apparently I will have to keep digging.
 
Thanks, Russ!
 
russ_watters said:
Power is rpm times torque divided by 5252 (English units). http://www.largiader.com/articles/torque.html

Thanks Russ !

i've been looking for an easy to remember number for that conversion, and 5252 is it .
52 twice makes me think of Tex Ritter's "Deck of Cards"

So at 5252 RPM torque and horsepower have the same number. That's right in operating band of small outboard motors i tinker with.

old jim
 

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