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Summary:

I am designing micro Wind turbine however I am unclear what rpm electrical generator should be chosen for a given power rating of wind turbine.
E.g. if I choose 100rpm electrical generator which will produce 1kw power. Then I have to be sure that my wind turbine system at least rotates around 100rpm. Otherwise i have to put gear boxes. Which I want to avoid.
So I need formula of rotational wind turbine system. Does it have any relation to input Kinetic energy of wind? Or some other formula.
How to determine rpm of rotational body such as wind turbine blades. Is there any relation of input wind velocity with the blade rpm?
If the rpm formula in relation to input wind velocity is known then I can choose exact matching rpm for electrical generator for a given power output.
As per law of conservation of energy
Input Kinetic Energy (wind) = Rotational Kinetic Energy of wind turbine + Energy unused by turbine (approx. max < 41 % betz law)
But input KE of wind is unknown because (1/2 mv*v) mass of parcel of air is unknown.
Rotational energy of rotational body(1/2 * I*omega*omega).
If the rpm formula in relation to input wind velocity is known then I can choose exact matching rpm for electrical generator for a given power output.
As per law of conservation of energy
Input Kinetic Energy (wind) = Rotational Kinetic Energy of wind turbine + Energy unused by turbine (approx. max < 41 % betz law)
But input KE of wind is unknown because (1/2 mv*v) mass of parcel of air is unknown.
Rotational energy of rotational body(1/2 * I*omega*omega).