Helpppp Please. Cause i dont undstand the v^3 please show the steps Part A Calcu

Question

Helpppp Please. Cause i dont undstand the v^3 please show the steps

Part A
Calculate how much kinetic energy the wind contains, per cubic meter, at this location.

Part B
No wind turbine can capture all of the energy contained in the wind, the main reason being that capturing all the energy would require stopping the wind completely, meaning that air would stop flowing through the turbine. Suppose a particular turbine has blades with a radius of 40 and is able to capture 35 of the available wind energy. What would be the power output of this turbine, under average wind conditions?

Explanation / Answer

think of a "block " of air moving at V that is A area cross section V* t seconds long and density rho use the ke formula KE of a moving mass = 1/2 mV^2 notice the V term will become V^3 so the faster wind has much greater energy force is different that is momentum change of the wind is deflected wind is good but varies water flow is much better because water is about 1,000 times more dense and has much more energy all energy on earth is due to the sun energy ( except for uranium and geo thermal)

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