Power output of a simple generator

AI Thread Summary
To convert the RPMs of a turbine, such as a windmill, into power output, the relationship is defined by the equation: Power = RPM x Torque / 5252. The mechanical power output depends on factors like wind speed and turbine design, with the maximum theoretical power given by Power_max = 0.5 x Swept Area x Air Density x Wind Velocity^3. Efficiency in converting mechanical to electrical power is typically over 90%. Understanding these principles is crucial for determining if a windmill can power specific appliances like a refrigerator.
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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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