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14 August, 07:01

Wind turbine B has blades twice as long as wind turbine A. If they are subjected to the same wind, what is the relationship between the power from turbine A (PA) and the power from turbine B (PB) ?

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  1. 14 August, 07:05
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    The Power output from Turbine B with the doubled blade will be X4 of the power output from Turbine A.

    Explanation:

    The Power generated by a wind turbine is governed by the equation:

    P=0.5ρAV³

    Where ρ = Air Density

    A = Swept Area of the Blade = πr²

    V = Wind Velocity

    If they are subjected to the same wind, Air Density and Wind Velocity will be equal

    For both turbines,

    Let Air Density=1

    Wind Velocity=1

    Power from Turbine A = 0.5X1XπX1²=0.5π

    Power from Turbine B (radius=2) = 0.5X1XπX2²=2π

    Power from Turbine B/Power from Turbine A = 2π/0.5π=4
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