Windmill power = K*airdensity*rotorarea*velocity^3.
Want to bet dinner on it?
MIT'67 XVI (aero/astro) NASA '67-'94 retired.
"Windmill power = K*airdensity*rotorarea*velocity^3."Your equation for wind power is P = K*m*v2/t
Your scaling of 1/vol * area allows you to write v3.